DEPARTMENT OF MATHEMATICS

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Publications

2026

  1. Ay Saylam B., Canan E. (2026). Comparable overrings of Marot rings. Journal of Algebra and Its Applications, 25(9), 2750161 (18 sayfa). DOI: 10.1142/S0219498827501611
  2. Batal A. (2026). Bounding the multiplicities of eigenvalues of graph matrices in terms of circuit rank. Hacettepe Journal of Mathematics and Statistics, 55(2), 502–511. DOI: 10.15672/hujms.1474122
  3. Batal A. (2026). On the construction of xor-magic graphs. Discrete Applied Mathematics, 379, 288–315.
  4. Baytaş B., Guo X.-K. (2026). Degenerate limits of Scalar-Tensor gravity. Modern Physics Letters A, 41, 2650138. DOI: 10.1142/S0217732326501385
  5. Büyükaşık E., Demir Ö. I. (2026). Virtually regular modules. Journal of Algebra and Its Applications, 25(10), 2650102. DOI: 10.1142/S0219498826501021
  6. Alagöz Y., Büyükaşık E., Yurtsever H. B. (2026). On the rings whose injective right modules are max-projective. Journal of Algebra and Its Applications, 25(7), 2650048. DOI: 10.1142/S0219498826500489
  7. Alizade R., Büyükaşık E., Üstün Biçer Z. (2026). Square-free and dual-square-free abelian groups. Communications in Algebra, 1–10. DOI: 10.1080/00927872.2026.2662985
  8. Erman F., Ertuğrul E., Turgut O. T. (2026). The equation of state PV=(s/d)U from semiclassical kinetic theory, the virial theorem, and the stress tensor. European Journal of Physics, 47(4), 045101. DOI: 10.1088/1361-6404/ae85e6
  9. Gügümcü N., Kayaslan H. (2026). Biquandle virtual brackets and virtual knotoids. Turkish Journal of Mathematics, 50(4), 651–674. DOI: 10.55730/1300-0098.3674
  10. Gügümcü N., Pflume R. (2026). Pointed quandles of linkoids. Journal of Knot Theory and Its Ramifications, 2650030. DOI: 10.1142/S0218216526500306
  11. Ellis-Monaghan J. A., Gügümcü N., Kauffman L. H., Moltmaker W. (2026). The Mock Alexander polynomial for knotoids and linkoids. Topology and its Applications, 390, 109896. DOI: 10.1016/j.topol.2026.109896
  12. Balıkçı C., Kara O. (2026). Two complementary truncated differential attacks on Midori-64. International Journal of Information Security Science, 15(1), 25–47. DOI: 10.55859/ijiss.1824878
  13. Pashaev O., Rogers C. (2026). Whitham–Broer–Kaup systems in multi-dimensions: Quantum and resonant NLS connections. International Journal of Geometric Methods in Modern Physics, 23(15), 2650033. DOI: 10.1142/S0219887826500337
  14. İmamoğlu Karabaş N., Özaltun Şimşek G., Tanoğlu G., Gümgüm Turhan S. (2026). Estimation of cure kinetics parameters in carbon/epoxy prepregs incorporating functionalized single-wall carbon nanotubes using DSC data. International Polymeric Composites Symposium and Workshops, 126, 111–119. DOI: 10.1007/978-3-032-28148-7_8
  15. Öz M., Uz Y. C., Tanoğlu G., Tanoğlu M., Barisik M. (2026). Investigating the effects of functionalized single wall carbon nanotubes on the cure behavior of a carbon/epoxy prepreg system by an optimized parameter approach. Polymer Composites, 46(15), 14001–14016. DOI: 10.1002/pc.30039
  16. Idiz F., Tanoğlu G., Aghazadeh N., Mohammadi A. (2026). An effective Legendre wavelet technique for the time-fractional Fisher equation. Computational Methods for Differential Equations, 14(1), 145–164. DOI: 10.22034/cmde.2025.63725.2849
  17. Motamedi R., Aghazadeh N., Hashemzadeh M., Noras P. (2026). Fractional active contour model with adaptive Hessian weighting for mammogram segmentation. Journal of Medical Signals and Sensors, 16, 17. DOI: 10.4103/jmss.jmss_108_25
  18. Pourreza L., Aghazadeh N., Hashemzadeh M. (2026). Enhancement of digital mammography images using neutrosophic divergence score based on intuitionistic fuzzy entropy. Journal of Medical Signals and Sensors, 16(9), 9. DOI: 10.4103/jmss.jmss_50_25
  19. Roshan R., Aghazadeh N., Farajzadeh N. (2026). Enhanced image compression using wavelet-based encoder-decoder architectures. Signal, Image and Video Processing, 20(3), 117. DOI: 10.1007/s11760-026-05134-7
  20. Khezri S., Aghazadeh N., Hashemzadeh M., Golzari Oskouei A. (2026). FW-S3PFCM: Feature-weighted safe-semi-supervised possibilistic fuzzy C-means clustering. Pattern Analysis and Applications, 29(1), 36. DOI: 10.1007/s10044-025-01607-6
  21. Deep A., Rabbani M., Kumar S., Aghazadeh N. (2026). On the existence of solution to a class of nonlinear functional integral equations with two variables. International Journal of Nonlinear Analysis and Applications, 17(1), 115–126. DOI: 10.22075/ijnaa.2024.34255.5112
  22. Göral H., Eyidoğan S., Tanısalı N. (2026). Box progressions, abelian power-free morphisms and a sieve technique for the template method. Mathematics of Computation (to appear).

2025

  1. Aghazadeh N., Rabbani K., Taheri Otaghsara S. H., Rabbani M. (2025). A finite difference approach to solve the nonlinear model of electro-osmotic flow in nano-channels. Computational Methods for Differential Equations, 13(3), 919–926. DOI: 10.22034/cmde.2024.62349.2742
  2. Aghazadeh N. (2025). A Chebyshev wavelet approach to the generalized time-fractional Burgers-Fisher equation. Computational Methods for Differential Equations, 13(4), 1135–1147. DOI: 10.22034/cmde.2024.61020.2617
  3. Aghazadeh N. (2025). An efficient Chebyshev wavelet collocation technique for the time-fractional Camassa-Holm equation. International Journal of Wavelets, Multiresolution and Information Processing, 23(3), 2550003 (20 sayfa). DOI: 10.1142/S0219691325500031
  4. Khezri S., Aghazadeh N., Hashemzadeh M., Golzari Oskouei A. (2025). FW-S3KIFCM: Feature weighted safe-semi-supervised kernel-based intuitionistic fuzzy C-means clustering method. Fuzzy Information and Engineering, 17(2), 1–35. DOI: 10.26599/FIE.2025.9270061
  5. Najafi Mogadam A., Aghazadeh N., Hashemzadeh M., Golzari Oskouei A. (2025). A robust possibilistic semi-supervised fuzzy clustering algorithm with neighborhood-aware feature weighting. International Journal of Machine Learning and Cybernetics, 16, 8803–8838. DOI: 10.1007/s13042-025-02731-9
  6. Aghazadeh N., Noras P., Moghaddasi Ghamchi S. (2025). Determining area affected by corona in lung CT images by three-phase level set and shearlet transform. Journal of Medical Signals and Sensors, 15(12). DOI: 10.4103/jmss.jmss_18_25
  7. Baytaş B., Yokomizo N. (2025). Effective geometry of Bell-network states on a dipole graph. Classical and Quantum Gravity, 42(2), 025001.
  8. Baytaş B., Derin O. E. (2025). The architecture of relational materialism: A categorial formation of onto-epistemological premises. Foundations of Science. DOI: 10.1007/s10699-025-09977-0
  9. Baytaş B. (2025). A class of entangled and diffeomorphism-invariant states in loop quantum gravity: Bell-network states. Journal of Physics: Conference Series, 3177, 012130. DOI: 10.1088/1742-6596/3177/1/012130
  10. Alagöz Y., Alizade R., Büyükaşık E., García Rozas J. R., Oyonarte L. (2025). Subinjectivity relative to cotorsion pairs. Mathematics, 13, 2013. DOI: 10.3390/math13122013
  11. Alagöz Y., Alizade R., Büyükaşık E. (2025). Projectivity and quasi-projectivity with respect to epimorphisms to simple modules. Journal of Algebra and Its Applications, 24, 2542007. DOI: 10.1142/S0219498825420071
  12. Büyükaşık E. (2025). Subinjective and subprojective extension-reflecting modules. arXiv ön baskı. DOI: 10.48550/arXiv.2507.11221
  13. Alagöz Y., Benli-Göral S., Büyükaşık E., García Rozas J. R., Oyonarte L. (2025). Rings whose mininjective modules are injective. Communications in Algebra, 53, 5302–5314. DOI: 10.1080/00927872.2025.2509829
  14. Erman F., Turgut O. T. (2025). Completeness relation in renormalized quantum systems. Frontiers in Physics, 13, 1695365. DOI: 10.3389/fphy.2025.1695365
  15. Adıbelli A. B., Göral H. (2025). The infinitude of the primes and some coloring theorems. The American Mathematical Monthly, 132(8), 766–778. DOI: 10.1080/00029890.2025.2525049
  16. Gügümcü N., Nelson S. (2025). Biquandle power brackets of oriented links. Turkish Journal of Mathematics, 49(2), 157–172. DOI: 10.55730/1300-0098.3580
  17. Balıkçı C., Kara O. (2025). A 10-round attack on Midori-64. Institute of Electrical and Electronics Engineers Inc. (IEEE).
  18. Kara O. (2025). Square impossible differential attack and security of AES in known plaintext scenario. Cryptologia, 49(2), 128–152. DOI: 10.1080/01611194.2024.2320362
  19. İlter M. B., Koçak O., Kara O., Sulak F. (2025). Differential and linear analyses of DIZY through MILP modeling. International Workshop on Lightweight Cryptography for Security and Privacy, 285–305. DOI: 10.1007/978-3-032-15541-2_16
  20. Schmid M., Arul T., Kavun E. B., Regazzoni F., Kara O. (2024). Robust and Energy-efficient Hardware Architectures for DIZY Stream Cipher. 2024 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS), Taipei, Taiwan, 461–465. DOI: 10.1109/APCCAS62602.2024.10808577
  21. Pashaev O., Koçak A. (2025). The Bell-based super-coherent states: Uncertainty relations, golden ratio and fermion–boson entanglement. International Journal of Geometric Methods in Modern Physics, 22(2), 2450267. DOI: 10.1142/S0219887824502670
  22. Pashaev O. (2025). Supersymmetric golden quantum. Mathematical Methods for Engineering Applications: ICMASE 2024 (Coimbra, Portekiz, 16–18 Eylül), 41. DOI: 10.1007/978-3-031-84151-4
  23. Pashaev O. (2025). Quantum calculus of Fibonacci divisors and fermion–boson entanglement for infinite hierarchy of supersymmetric golden oscillators. Theoretical and Mathematical Physics, 224(3), 1625–1643. DOI: 10.1134/S0040577925090077
  24. Temur F., Sahillioğulları C. (2025). Random exponential sums and lattice points in regions. Journal of Functional Analysis, 289(11), 111145. DOI: 10.1016/j.jfa.2025.111145
  25. Aydın Y. E., Kayaslan H., Yılmaz O., Korobkin A. (2025). Early dynamics of the collapse of a wedge-shaped depression on a water free surface. Journal of Fluid Mechanics. DOI: 10.1017/jfm.2025.10575

2024

  1. Erman F., Turgut O. T. (2024). Completeness of energy eigenfunctions for the reflectionless potential in quantum mechanics. American Journal of Physics, 92(12).
  2. Erman F. (2024). Explicit derivation of the propagator for a point interaction in three dimensional hyperbolic space. International Journal of Theoretical Physics, 63(10).
  3. Akyüz C., Erman F., Uncu H. (2024). [Makale başlığı kaynakta belirtilmemiş]. Physica A: Statistical Mechanics and its Applications, 641, 129728.
  4. Göral H., Büyükaşık E., Sertbaş D. C. (2024). A note on variants of Euler's phi-function. Publicationes Mathematicae Debrecen, 105(1–2), 67–89.
  5. Idiz F., Tanoğlu G., Aghazadeh N. (2024). A numerical method based on Legendre wavelet and quasilinearization technique for fractional Lane-Emden type equations. Numerical Algorithms, 95(1), 181–206.
  6. Aghazadeh N., Mohammadi A., Tanoğlu G. (2024). Taylor wavelets collocation technique for solving fractional nonlinear singular PDEs. Mathematical Sciences, 18(1), 41–54.
  7. Pashaev O. K., Koçak A. (2024). The Bell-based super-coherent states: Uncertainty relations, golden ratio and fermion-boson entanglement. International Journal of Geometric Methods in Modern Physics, 2450267. DOI: 10.1142/S0219887824502670
  8. Ay Saylam B., Gürbüz E., Hamdi H. (2024). w-locally isomorphic torsionless modules over weakly Matlis domains. Communications in Algebra, 52(9).
  9. Rezapour S., Thabet S. T. M., Rafeeq A. S., Kedim I., Vivas-Cortez M., Aghazadeh N. (2024). Topology degree results on a G-ABC implicit fractional differential equation under three-point boundary conditions. PLOS ONE, 19(7). DOI: 10.1371/journal.pone.0300590
  10. Aghazadeh N., Abbasi M., Noras P. (2024). An iris segmentation scheme based on bendlets. Signal, Image and Video Processing, 18(3), 2683–2693.
  11. Moghaddam R. M., Aghazadeh N. (2024). Lung parenchyma segmentation from CT images with a fully automatic method. Multimedia Tools and Applications, 83(5), 14235–14257.
  12. Kara O. (2024). Lower data attacks on Advanced Encryption Standard. Turkish Journal of Electrical Engineering & Computer Sciences, 32(2), Makale 8. DOI: 10.55730/1300-0632.4072
  13. Kara O. (2024). Square impossible differential attack and security of AES in known plaintext scenario. Cryptologia, 1–25. DOI: 10.1080/01611194.2024.2320362
  14. Schmid M., Arul T., Kavun E. B., Regazzoni F., Kara O. (2024). Robust and Energy-efficient Hardware Architectures for DIZY Stream Cipher. 2024 IEEE Asia Pacific Conference on Circuits and Systems (APCCAS), Taipei, Taiwan, 461–465. DOI: 10.1109/APCCAS62602.2024.10808577
  15. Batal A. (2024). Effects of edge addition or removal on the nullity of a graph. Discrete Applied Mathematics, 357, 56–65.
  16. Şahan G., Özdemir D. (2024). Uniform asymptotic and input to state stability by indefinite Lyapunov functions. European Journal of Control, 76.

2023

  1. Büyükaşık E., Lomp C., Yurtsever B. (2023). Dual Kasch rings. Journal of Algebra and Its Applications.
  2. Alagöz Y., Alizade R., Büyükaşık E., Sağbaş S. (2023). On purities relative to minimal right ideals. Lobachevskii Journal of Mathematics, 44(7), 2557–2566.
  3. Akbaş K. G., Erman F., Turgut O. T. (2023). On Schrödinger operators modified by delta interactions. Annals of Physics, 458(2), 169468.
  4. Kara O. (2023). New security proofs and complexity records for Advanced Encryption Standard. IEEE Access, 11, 131205–131220. DOI: 10.1109/ACCESS.2023.3335271
  5. Gül Ç., Kara O. (2023). A new construction method for keystream generators. IEEE Transactions on Information Forensics and Security, 18, 3735–3744. DOI: 10.1109/TIFS.2023.3287412
  6. Batal A., Gügümcü N. (2023). k-color region select game. Journal of the Mathematical Society of Japan, 75(4), 1409–1429.
  7. Göral H., Özcan H. B., Sertbaş D. C. (2023). The Green-Tao theorem and the infinitude of primes in domains. The American Mathematical Monthly, 130(2).
  8. Göral H., Batal A., Eyidoğan S. (2023). Irreducibility and primality in differentiability classes. Real Analysis Exchange, 48(1), 119–138.
  9. Çam Çelik S., Eyidoğan S., Göral H., Sertbaş D. C. (2023). On classification of sequences containing arbitrarily long arithmetic progressions. International Journal of Number Theory, 19(8), 1917–1952. DOI: 10.1142/S1793042123500926
  10. Göral H., Eyidoğan S., Kutlu M. K. (2023). Arithmetic progressions in certain subsets of finite fields. Finite Fields and Their Applications, 91, 102264.
  11. Göral H., Çam Çelik S. (2023). Euler-Zagier sums via trigonometric series. Mathematical Reports, 25(75)(3), 381–412.
  12. Korobkin A., Yılmaz O. (2023). Initial stages of gravity-driven flow of two fluids of equal depth. Physics of Fluids, 35(2), 027105.
  13. Çiçek Y., Kaymak N. G., Bahar E., Gürarslan G., Tanoğlu G. (2023). A new numerical algorithm based on quintic B-spline and adaptive time integrator for coupled Burgers' equation. Computational Methods for Differential Equations, 11(1), 130–142.
  14. Idiz F., Tanoğlu G., Aghazadeh N. (2023). A numerical method based on Legendre wavelet and quasilinearization technique for fractional Lane-Emden type equations. Numerical Algorithms. DOI: 10.1007/s11075-023-01568-z
  15. Alagöz Y., Benli-Göral S., Büyükaşık E. (2023). On simple-injective modules. Journal of Algebra and Its Applications, 22(6), 2350138.
  16. Moghaddam R. M., Aghazadeh N. (2023). Lung parenchyma segmentation from CT images with a fully automatic method. Multimedia Tools and Applications. DOI: 10.1007/s11042-023-16040-2
  17. Gabrovšek B., Gügümcü N. (2023). Invariants of multi-linkoids. Mediterranean Journal of Mathematics, 20(3), 165.
  18. Şahan G. (2023). Exponential stability and boundedness of nonlinear perturbed systems by unbounded perturbation terms. Journal of the Franklin Institute.

2022

  1. Pashaev O. K., Lee J.-H. (2022). Relativistic dissipatons in integrable nonlinear Majorana type spinor model. Southeast Asian Bulletin of Mathematics, 46(6), 749–770.
  2. Fetahu E., Ivanyshyn Yaman O., Yılmaz O. (2022). Initial stages of a three dimensional dam break flow. Applied Ocean Research, 127, 103325.
  3. Dişibüyük N. B., Yılmaz O., Korobkin A., Khabakhpasheva T. (2022). An iterative method for interaction of hydro-elastic waves with several vertical cylinders of circular cross-sections. Journal of Marine Science and Engineering, 10(6), 723.
  4. Güneş M. D., Karabaş N. İ., Deveci H. A., Tanoğlu G., Tanoğlu M. (2022). Fatigue life prediction and optimization of GFRP composites based on Failure Tensor Polynomial in Fatigue model with exponential fitting approach. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 236(19), 10290–10303.
  5. Karabaş N. İ., Korkut S. Ö., Gürarslan G., Tanoğlu G. (2022). A reliable and fast mesh-free solver for the telegraph equation. 41(5).
  6. Aghazadeh N., Mohammadi A., Tanoğlu G. (2022). Taylor wavelets collocation technique for solving fractional nonlinear singular PDEs. Mathematical Sciences. DOI: 10.1007/s40096-022-00483-z
  7. Ay Saylam B., Gürbüz E. (2022). Unique decompositions into regular ideals for Marot rings. Communications in Algebra, 50(12), 5303–5313.
  8. Ay Saylam B., Gürbüz E., Hamdi H. (2022). Unique decompositions into w-ideals for strong Mori domains. Journal of Algebra and Its Applications, 2350250.
  9. Erman F., Seymen S. (2022). A direct method for the low energy scattering solution of delta shell potentials. European Physical Journal Plus, 137(3), 308.
  10. Erman F., Seymen S., Turgut O. T. (2022). Rank one perturbations supported by hybrid geometries and their deformations. 63(12), 123505.
  11. Demirbaş F., Kara O. (2022). Integral characteristics by keyspace partitioning. Designs, Codes and Cryptography, 90(2), 443–472.
  12. Ulusoy S. E., Kara O., Efe M. Ö. (2022). Plaintext recovery and tag guessing attacks on authenticated encryption algorithm COLM. Journal of Information Security and Applications, 70, 103342.
  13. Rabbani M., Arab R., Hazarika B., Aghazadeh N. (2022). Existence of solution of functional integral equations by measure of noncompactness and sinc interpolation to find solution. Fixed Point Theory, 23(1), 331–334.
  14. Temur F. (2022). Discrete fractional integrals, lattice points on short arcs, and diophantine approximation. Turkish Journal of Mathematics, 46(7), 2867–2889.
  15. Gügümcü N., Gabrovšek B., Kauffman L. H. (2022). Invariants of bonded knotoids and applications to protein folding. Symmetry, 14(8), 1724.
  16. Göral H. (2022). Class number and the special values of L-functions. Mathematical Reports, 24(4), 693–701.
  17. Göral H. (2022). Lehmer's conjecture via model theory. Proceedings of the Japan Academy, Series A, Mathematical Sciences, 7, 52–55.
  18. Altuntaş C., Göral H., Sertbaş D. C. (2022). The difference of hyperharmonic numbers via geometric and analytic methods. Journal of the Korean Mathematical Society, 59(6), 1103–1137.

2021

  1. Pashaev O. K. (2021). Quantum coin flipping, qubit measurement, and generalized Fibonacci numbers. Theoretical and Mathematical Physics, 208(2), 1075–1092. DOI: 10.1134/S0040577921080079
  2. Pashaev O. K. (2021). Quantum calculus of Fibonacci divisors and infinite hierarchy of bosonic-fermionic golden quantum oscillators. International Journal of Geometric Methods in Modern Physics, 18(5), 2150075. DOI: 10.1142/S0219887821500754
  3. Fetahu E., Yılmaz O. (2021). A three dimensional dam break flow: Small time behaviour. Applied Ocean Research, 110, 102583. DOI: 10.1016/j.apor.2021.102583
  4. İmamoğlu Karabaş N., Korkut S. Ö., Tanoğlu G., Aziz I., Siraj-ul-Islam. (2021). An efficient approach for solving nonlinear multidimensional Schrödinger equations. Engineering Analysis with Boundary Elements, 132, 263–270. DOI: 10.1016/j.enganabound.2021.07.009
  5. Alagöz Y., Büyükaşık E. (2021). Max-projective modules. Journal of Algebra and Its Applications, 20(6), 2150095. DOI: 10.1142/S021949882150095X
  6. Alagöz Y., Büyükaşık E. (2021). On max-flat and max-cotorsion modules. Applicable Algebra in Engineering, Communication and Computing, 32(3), 195–215. DOI: 10.1007/s00200-020-00482-4
  7. Büyükaşık E., Demir Ö., Diril M. (2021). On simple-direct modules. Communications in Algebra, 49(2), 864–876. DOI: 10.1080/00927872.2020.1821207
  8. Alagöz Y., Benli S., Büyükaşık E. (2021). Rings whose nonsingular right modules are R-projective. Commentationes Mathematicae Universitatis Carolinae.
  9. Atılgan Büyükaşık Ş., Bozacı A. (2021). Dynamical properties of generalized traveling waves of exactly solvable forced Burgers equations with variable coefficients. Communications in Nonlinear Science and Numerical Simulation, 96, 105682. DOI: 10.1016/j.cnsns.2020.105682
  10. Ay Saylam B., Hamdi H. (2021). ES-w-stability. Communications in Algebra. DOI: 10.1080/00927872.2021.1898628
  11. Ivanyshyn Yaman O., Le Louër F. (2021). An inverse parameter problem with generalized impedance boundary condition for two-dimensional linear viscoelasticity. SIAM Journal on Applied Mathematics, 81(4), 1668–1690. DOI: 10.1137/20M1383422
  12. Ivanyshyn Yaman O., Özdemir G. (2021). Numerical solution of a generalized boundary value problem for the modified Helmholtz equation in two dimensions. Mathematics and Computers in Simulation, 190, 181–191. DOI: 10.1016/j.matcom.2021.05.013
  13. Gügümcü N., Lambropoulou S. (2021). Braidoids. Israel Journal of Mathematics, 242(2), 955–995. DOI: 10.1007/s11856-021-2155-8
  14. Gügümcü N., Nelson S., Oyamaguchi N. (2021). Biquandle brackets and knotoids. Journal of Knot Theory and Its Ramifications.
  15. Gügümcü N., Kauffman L. H. (2021). Quantum invariants of knotoids. Communications in Mathematical Physics, 387(3), 1681–1728. DOI: 10.1007/s00220-021-04081-3
  16. Göral H., Çam Çelik S. (2021). Number fields and divisible groups via model theory. Turkish Journal of Mathematics, 45(1), 220–232. DOI: 10.3906/mat-2006-95
  17. Göral H., Çam Çelik S. (2021). A note on points on algebraic sets. Hacettepe Journal of Mathematics and Statistics, 50(3), 821–824. DOI: 10.15672/hujms.743598
  18. Göral H., Altuntaş C. (2021). Dedekind harmonic numbers. Proceedings of the Indian Academy of Sciences (Mathematical Sciences), 131(2), 46. DOI: 10.1007/s12044-021-00643-6
  19. Göral H., Sertbaş D. C. (2021). Applications of class numbers and Bernoulli numbers to harmonic type sums. Bulletin of the Korean Mathematical Society.
  20. Göral H. (2021). Class number and the special values of L-functions. Mathematical Reports.
  21. Batal A., Özsarı T., Yılmaz K. C. (2021). Stabilization of a higher order Schrödinger equations on a finite interval: Part I. Evolution Equations and Control Theory, 10(4), 861–919.
  22. Şahan G. (2021). Relaxation of conditions of Lyapunov functions. Süleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi, 25(2), 238–244. DOI: 10.19113/sdufenbed.808371

2020

  1. Dişibüyük N. B., Korobkin A., Yılmaz O. (2020). Diffraction of flexural-gravity waves by a vertical cylinder of non-circular cross section. Applied Ocean Research, 101, 102234.
  2. Atılgan Büyükaşık Ş., Bozacı A. (2020). Dirichlet problem on the half-line for a forced Burgers equation with time-variable coefficients and exactly solvable models. Communications in Nonlinear Science and Numerical Simulation, 82, 105059. DOI: 10.1016/j.cnsns.2019.105059
  3. Ay Saylam B. (2020). Stability in commutative rings. Turkish Journal of Mathematics, 44(3), 801–812. DOI: 10.3906/mat-1911-101
  4. Ay Saylam B. (2020). The group of invertible ideals of a Prüfer ring. Proceedings of the Indian Academy of Sciences (Mathematical Sciences), 130(1), 11. DOI: 10.1007/s12044-019-0538-0
  5. Chatterjee S., Ustaoğlu B. (2020). Malleability and ownership of proxy signatures: Towards a stronger definition and its limitations. Advances in Mathematics of Communications, 14(2), 177–205. DOI: 10.3934/amc.2020015
  6. Erman F., Uncu H. (2020). Green's function formulation of multiple nonlinear Dirac delta-function potential in one dimension. Physics Letters A, 384(11), 126227. DOI: 10.1016/j.physleta.2019.126227
  7. Erman F., Gadella M., Uncu H. (2020). The propagators for delta and delta' potentials with time-dependent strengths. Frontiers in Physics, 8, 65. DOI: 10.3389/fphy.2020.00065
  8. Temur F. (2020). A quantitative Balian-Low theorem for higher dimensions. Georgian Mathematical Journal, 27(3), 469–477. DOI: 10.1515/gmj-2018-0046
  9. Göral H., Sertbaş D. C. (2020). Euler sums and non-integerness of harmonic type sums. Hacettepe Journal of Mathematics and Statistics, 49(2), 586–598. DOI: 10.15672/hujms.544489
  10. Göral H., Çam Çelik S. (2020). Approximation by special values of Dirichlet series. Proceedings of the American Mathematical Society, 148(1), 83–93. DOI: 10.1090/proc/14715
  11. Göral H. (2020). p-adic metrics and the infinitude of primes. Mathematics Magazine, 93(1), 19–22.
  12. Göral H., Özcan H. B. (2020). Several novel proofs of the infinitude of primes. The Mathematics Student, 89(3–4), 91–95.
  13. Şahan G. (2020). Stability analysis by a nonlinear upper bound on the derivative of Lyapunov function. European Journal of Control, 56, 118–123. DOI: 10.1016/j.ejcon.2020.02.006

2016–2019

  1. Pashaev O. K., Lee J.-H. (2017). Relativistic DNLS and Kaup-Newell hierarchy. SIGMA, 13, 058.
  2. Isıdıcı Demirel D., Iafrati A., Korobkin A., Yılmaz O. (2019). Asymptotic behaviour of dam break flow for small times. Computational Technologies, 24(1), 7–27.
  3. Dişibüyük N. B., Korobkin A., Yılmaz O. (2017). Linear wave interaction with a vertical cylinder of arbitrary cross section: An asymptotic approach. Journal of Waterway, Port, Coastal and Ocean Engineering, 143(5), 1–16.
  4. Zurnacı F., Gücüyenen Kaymak N., Tanoğlu G. (2018). Convergence analysis and numerical solution of the Benjamin-Bona-Mahony equation by Lie-Trotter splitting. Turkish Journal of Mathematics, 42(3), 1471–1483.
  5. Altınay F., Büyükaşık E., Durgun Y. (2019). On the structure of modules defined by subinjectivity. Journal of Algebra and Its Applications, 18(10).
  6. Büyükaşık E., Kafkas-Demirci G. (2019). On the structure of modules defined by opposites of FP injectivity. Bulletin of the Iranian Mathematical Society, 45(3), 729–736.
  7. Büyükaşık E., Kafkas-Demirci G. (2019). Rings and modules characterized by opposites of FP-injectivity. Bulletin of the Korean Mathematical Society, 56(2), 439–450.
  8. Alizade R., Büyükaşık E., Yang L. (2018). Poor modules with no proper poor direct summands. Journal of Algebra, 502, 24–44.
  9. Büyükaşık E., Enochs E., Oyonarte L. (2018). Rugged modules: The opposite of flatness. Communications in Algebra, 46(2), 764–779.
  10. Alizade R., Büyükaşık E. (2017). Poor and pi-poor abelian groups. Communications in Algebra, 45(1), 420–427.
  11. Alizade R., Büyükaşık E., Durgun Y. (2016). Small supplements, weak supplements and proper classes. Hacettepe Journal of Mathematics and Statistics, 45(3), 649–661.
  12. Büyükaşık E., Tribak R. (2016). Rad-supplements in injective modules. Algebra & Discrete Mathematics, 22(2), 171–183.
  13. Büyükaşık E., Durgun Y. (2016). Neat-flat modules. Communications in Algebra, 44(1), 416–428.
  14. Öziş T., Aslan İ. (2017). Similarity solutions to Burgers' equation in terms of special functions of mathematical physics. Acta Physica Polonica B, 48(7), 1349–1369.
  15. Aslan İ. (2016). Exact solutions for fractional DDEs via auxiliary equation method coupled with the fractional complex transform. Mathematical Methods in the Applied Sciences, 39(18), 5619–5625.
  16. Aslan İ. (2016). Exact solutions for a local fractional DDE associated with a nonlinear transmission line. Communications in Theoretical Physics, 66(3), 315–320.
  17. Aslan İ. (2016). Traveling waves of DDEs with rational nonlinearity. International Journal of Nonlinear Sciences and Numerical Simulation, 17(5), 243–248.
  18. Aslan İ. (2016). Traveling wave solutions for nonlinear differential-difference equations of rational types. Communications in Theoretical Physics, 65(1), 39–45.
  19. Atılgan Büyükaşık Ş., Çayiç Z. (2016). Exact quantization of Cauchy-Euler type forced parametric oscillator. Journal of Physics: Conference Series, 766, 012003. DOI: 10.1088/1742-6596/766/1/012003
  20. Atılgan Büyükaşık Ş., Çayiç Z. (2016). Exactly solvable Hermite, Laguerre and Jacobi type quantum parametric oscillators. Journal of Mathematical Physics, 57(12). DOI: 10.1063/1.4972293
  21. Atılgan Büyükaşık Ş. (2018). Squeezing and resonance in a generalized Caldirola-Kanai type quantum parametric oscillator. Journal of Mathematical Physics, 59. DOI: 10.1063/1.5002186
  22. Atılgan Büyükaşık Ş., Çayiç Z. (2019). Dynamics of squeezed states of a generalized quantum parametric oscillator. Journal of Physics: Conference Series, 1194, 012018.
  23. Atılgan Büyükaşık Ş., Çayiç Z. (2019). Time-evolution of squeezed coherent states of a generalized quantum parametric oscillator. Journal of Mathematical Physics, 60, 062104. DOI: 10.1063/1.5050489
  24. Ay Saylam B., Klingler L. (2019). Locally isomorphic torsionless modules over domains of finite character. Journal of Algebra and Its Applications, 1950138.
  25. Ay Saylam B. (2019). Integrally closed Prüfer rings. Communications in Algebra, 47(3), 1271–1277.
  26. Ay Saylam B. (2017). Corrigendum: On density theorems for rings of Krull type with zero divisors. Turkish Journal of Mathematics, 41, 1446–1447.
  27. Khayati L. J., Örencik C., Savaş E., Ustaoğlu B. (2016). A practical privacy-preserving targeted advertising scheme for IPTV users. International Journal of Information Security, 15(4), 335–360.
  28. Erman F., Uncu H. (2019). Green's function formulation of multiple nonlinear Dirac delta function potential in one dimension. Physics Letters A, 384, 127227. DOI: 10.1016/j.physleta.2019.126227
  29. Erman F., Turgut O. T. (2019). Perturbative approach to tunnelling phenomena. Frontiers in Physics (Contact Interactions in Quantum Mechanics: Theory, Mathematical Aspects and Applications), 7, 69.
  30. Erman F. (2018). On the number of bound states of semirelativistic Hamiltonian with Dirac delta potentials in one dimension. Canadian Journal of Physics, 96, 1235–1241.
  31. Erman F., Gadella M., Uncu H. (2018). On scattering from the one dimensional multiple Dirac delta potentials. European Journal of Physics, 39, 035403.
  32. Erman F., Gadella M., Tunalı S., Uncu H. (2017). A singular one-dimensional bound state problem and its degeneracies. European Physical Journal Plus, 132, 352.
  33. Erman F. (2017). Renormalization of Dirac delta potentials through the minimal extension of Heisenberg algebra. Communications in Theoretical Physics, 68(3).
  34. Erman F., Gadella M., Uncu H. (2017). One-dimensional semi-relativistic Hamiltonian with multiple Dirac delta potentials. Physical Review D, 95, 045004.
  35. Erman F. (2017). On the number of bound states of point interactions on hyperbolic manifolds. International Journal of Geometric Methods in Modern Physics, 14(1).
  36. Kara O., Esgin M. (2019). On analysis of lightweight stream ciphers with keyed update. IEEE Transactions on Computers, 68(1), 99–110. DOI: 10.1109/TC.2018.2851239
  37. Kara O., Ergüler İ., Anarım E. (2016). A new security relation between information rate and state size of a keystream generator. Turkish Journal of Electrical Engineering & Computer Sciences, 24, 1916–1929. DOI: 10.3906/ELK-1311-54
  38. Ivanyshyn Yaman O. (2019). Reconstruction of generalized impedance functions for 3D acoustic scattering. Journal of Computational Physics, 392(1), 444–455.
  39. Ivanyshyn Yaman O., Özdemir G. (2018). Boundary integral equations for the exterior Robin problem in two dimensions. Applied Mathematics and Computation, 337(15), 25–33.
  40. Cakoni F., Ivanyshyn Yaman O., Kress R., Le Louër F. (2017). A boundary integral equation for the transmission eigenvalue problem for Maxwell's equation. Mathematical Methods in the Applied Sciences, 41(4), 1316–133[3?].
  41. Ivanyshyn Yaman O., Kress R. (2017). Nonlinear integral equations for Bernoulli's free boundary value problem in three dimensions. Computers and Mathematics with Applications, 74(11), 2784–2791.
  42. Temur F., Sert E. (2019). Discrete fractional integral operators with binary quadratic forms as phase polynomials. Journal of Functional Analysis, 277(12), 108287.
  43. Temur F. (2019). The frequency function and its connections to the Lebesgue points and the Hardy-Littlewood maximal function. Turkish Journal of Mathematics, 43(3), 1755–1769.
  44. Temur F. (2019). Level set estimates for the discrete frequency function. Journal of Fourier Analysis and Applications, 25(3), 1008–1025.
  45. Batal A., Özsarı T. (2019). Output feedback stabilization of the linearized Korteweg-de Vries equation with right endpoint controllers. Automatica, 109.
  46. Özsarı T., Batal A. (2019). Pseudo-backstepping and its application to the control of Korteweg-de Vries equation from the right endpoint on a finite domain. SIAM Journal on Control and Optimization, 57(2), 1255–1283.
  47. Batal A., Özsarı T. (2016). Nonlinear Schrödinger equations on the half-line with nonlinear boundary conditions. Electronic Journal of Differential Equations, 222.
  48. Gügümcü N., Kauffman L. H. (2017). New invariants of knotoids. European Journal of Combinatorics, 65C, 186–229.
  49. Gügümcü N., Goundaroulis D., Lambropoulou S., Dorier J., Stasiak A., Kauffman L. (2017). Topological models for knotted bonded open protein chains using the concept of knotoids and bonded knotoids. Polymers, 9(9).
  50. Gügümcü N., Lambropoulou S. (2017). Knotoids, braidoids and applications. Symmetry (Special Issue: Knot Theory and Its Applications), 9(12), 315.
  51. Gügümcü N., Nelson S. (2019). Biquandle coloring invariants of knotoids. Journal of Knot Theory and Its Ramifications, 28(4). DOI: 10.1142/S0218216519500299
  52. Göral H., Sertbaş D. C. (2017). Almost all hyperharmonic numbers are not integers. Journal of Number Theory, 171, 495–526.
  53. Göral H., Alkan E. (2017). Trigonometric series and special values of L-functions. Journal of Number Theory, 178, 94–117.
  54. Göral H., Sertbaş D. C. (2018). Divisibility properties of hyperharmonic numbers. Acta Mathematica Hungarica, 154(1), 147–186.
  55. Göral H., Alkan E. (2018). Structural properties of Dirichlet series with harmonic coefficients. The Ramanujan Journal, 45(2), 569–600.
  56. Göral H. (2018). Interpretable groups in Mann pairs. Archive for Mathematical Logic, (3–4), 203–237.
  57. Göral H., Sertbaş D. C. (2018). A congruence for some generalized harmonic type sums. International Journal of Number Theory, 14(4), 1033–1046.
  58. Göral H., Sertbaş D. C., Alkan E. (2018). Hyperharmonic numbers can rarely be integers. Integers, 18, A43.
  59. Göral H. (2018). Height bounds, Nullstellensatz and primality. Communications in Algebra, 46(10), 4463–4472.
  60. Göral H., Sertbaş D. C. (2019). Density and finiteness results on sums of fractions. Proceedings of the American Mathematical Society, 147(2), 567–581.
  61. Göral H. (2019). Tame expansions of omega-stable theories and definable groups. Notre Dame Journal of Formal Logic, 60(2), 161–194.
  62. Göral H. (2019). Algebraic numbers with elements of small height. Mathematical Logic Quarterly, 65(1), 14–22.
  63. Göral H. (2019). Divisor function and bounds in domains with enough primes. Hacettepe Journal of Mathematics and Statistics, 48(2), 399–405.
  64. Şahan G., Eldem V. (2019). Well posedness conditions for planar conewise linear systems. Transactions of the Institute of Measurement and Control, 41(8), 2093–2099. DOI: 10.1177/0142331218780212
  65. Şahan G., Eldem V. (2016). The effect of coupling conditions on the stability of bimodal systems in R3. Systems and Control Letters, 96, 141–150. DOI: 10.1016/j.sysconle.2016.07.010

Conference Proceedings

  1. Koçak A., Pashaev O. K. (2017). Kaleidoscope of classical vortex images and quantum coherent states. Symmetries, Differential Equations and Applications (SDEA-III), Springer Proceedings in Mathematics & Statistics, Türkiye.
  2. Koçak A., Pashaev O. K. (2018). Special functions with mod n symmetry and kaleidoscope of quantum coherent states. Journal of Physics: Conference Series, 1194(1). (Group32, Prag)
  3. Ay Saylam B. (2017). Locally isomorphic torsionless modules over domains of finite character. Antalya Algebra Days XIX, Şirince, Mayıs 2017.
  4. Çelik E., Uçar D. (2021). The Covid 19 analysis with Taylor matrix and collocation method. Online International Conference on Applied Analysis and Mathematical Modeling, İstanbul.
  5. Alagöz Y., Benli S., Büyükaşık E. (2019). Rings whose nonsingular modules are R-projective. Antalya Algebra Days, Mayıs 2019, Şirince-İzmir.
  6. Alagöz Y., Büyükaşık E. (2019). Rings whose injective modules are R-projective. Noncommutative Rings and Their Applications VI, Haziran 2019, Lens, Fransa.
  7. Büyükaşık E., Kafkas-Demirci G. (2017). Rings and modules characterized by absolute purity. Noncommutative Rings and Their Applications V, 12–15 Haziran 2017, Lens, Fransa.
  8. Büyükaşık E. (2017). Poor modules with no poor proper direct summands. Noncommutative Rings and Their Applications V, 12–15 Haziran 2017, Lens, Fransa.
  9. Büyükaşık E., Kafkas-Demirci G. (2017). Rings whose simple modules are poor. Antalya Algebra Days, 17–21 Mayıs 2017, Şirince-İzmir.
  10. Temur F., Sert E., Discrete fractional integral operators with quadratic bivariate phase polynomials. International Workshop on Harmonic Analysis and Operator Theory, 31–32.
  11. Temur F., Sert E., An application of quadratic forms to discrete fractional integrals. 31. Journées Arithmétiques, 64.
  12. Temur F., Quantitative uncertainty principles. Caucasian Mathematics Conference II, 129–130.
  13. Özdemir G. (2020). Numerical solution of generalized impedance boundary value problem for the Laplace equation. 7th International Conference on Recent Advances in Pure and Applied Mathematics, Muğla, Türkiye.
  14. Özdemir G. (2019). Integral equation method for the modified Helmholtz equation with generalized impedance boundary condition. International Conference on Mathematics and Mathematics Education, Konya, Türkiye.
  15. Özdemir G. (2016). Integral equation methods for the planar exterior Robin boundary value problem of the Laplacian. 3rd International Conference on Recent Advances in Pure and Applied Mathematics, Muğla, Türkiye.
  16. Şahan G. (2020). Existence and uniqueness of solution for discontinuous conewise linear systems. 21st IFAC World Congress, Berlin, Almanya.
  17. Eldem V., Şahan G., Öner I. (2016). Mechanism of autonomous switching and challenges in the stability of bimodal systems. Open Problems in Nonsmooth Dynamics, 1(1), 33–38.
  18. Göral H. (2019). Fractions in number fields. Journées Arithmétiques 2019, İstanbul.
  19. Göral H. (2017). International Autumn School on Computational Number Theory, İzmir.
  20. Gügümcü N., Kauffman L. (2017). On the height of knotoids. Springer Proceedings in Mathematics & Statistics (PROMS): Algebraic Modeling of Topological and Computational Structures and Applications, 219.
  21. Gügümcü N., Kauffman L., Lambropoulou S. (2016). A survey on knotoids, braidoids and their applications. Proceedings of the Conference Knots, Low-dimensional Topology and Applications – Knots in Hellas 2016, Springer Proceedings in Mathematics & Statistics (PROMS).
  22. Dişibüyük N. B., Korobkin A., Yılmaz O. (2017). Water wave interaction with several non circular vertical cylinders. 32nd International Workshop on Water Waves and Floating Bodies (IWWWFB2017), Dalian University of Technology, Dalian, Çin.
  23. Le Louër F., Ivanyshyn Yaman O., Rapún M.-L. (2020). 3D hybrid imaging method based on converging Gauss-Newton iterations. Oberwolfach Meeting, Report 5/2020.
  24. Ivanyshyn Yaman O., Özdemir G. (2020). Numerical solution of generalized impedance boundary value problem for the Laplace equation. ICRAPAM.
  25. Le Louër F., Ivanyshyn Yaman O., Rapún M.-L. (2019). Material derivatives of boundary integral operators in electromagnetism and their application to 3D imaging problems. ICIAM.
  26. Ivanyshyn Yaman O., Özdemir G. (2019). Integral equation method for the modified Helmholtz equation with generalized impedance boundary condition. ICMME.
  27. Le Louër F., Ivanyshyn Yaman O. (2018). Material derivatives of boundary integral operators in electromagnetism and applications. IABEM, Paris.
  28. Ivanyshyn Yaman O. (2018). Reconstruction of surface impedance functions from the acoustic far field pattern. IABEM, Paris.
  29. Ivanyshyn Yaman O. (2017). Reconstruction of electromagnetic obstacles via integral equations. UCAM, Lviv, Ukrayna.
  30. Ivanyshyn Yaman O. (2017). Bernoulli's free boundary value problem in R3. WDEA, Kuşadası, Türkiye.
  31. Kara O., Küçükkubaş E. (2019). Parametric guess and determine attack on stream ciphers. Workshop on Machine Learning for Security and Cryptography (IEEE PIMRC), 8–11 Eylül 2019, İstanbul, Türkiye.
  32. Esgin M. F., Kara O. (2016). Practical cryptanalysis of full Sprout with TMD tradeoff attacks. Selected Areas in Cryptography (SAC 2015), Lecture Notes in Computer Science, 9566, 67–85. DOI: 10.1007/978-3-319-31301-6_4 (Sackville, Kanada)
  33. Benli S., Büyükaşık E., Alagöz Y. (2019). Rings whose nonsingular modules are R-projective. Antalya Algebra Days XXI, 15–19 Mayıs 2019, Şirince, Türkiye.
  34. Benli S., Mermut E. (2016). On almost perfect rings and CJ rings. Antalya Algebra Days XVIII, 18–22 Mayıs 2016, Şirince, Türkiye.
  35. Atılgan Büyükaşık Ş. (2015). Exactly solvable inhomogeneous variable parametric Burgers equations. 28. Ulusal Matematik Sempozyumu, 7–9 Eylül 2015, Antalya.
  36. Atılgan Büyükaşık Ş. (2016). Exact quantization of Cauchy-Euler type forced parametric oscillator. International Conference on Quantum Science and Applications (ICQSA-2016), 25–27 Mayıs 2016, Eskişehir.
  37. Atılgan Büyükaşık Ş. (2017). Exactly solvable Laguerre type quantum parametric oscillator. 8th International Workshop WDEA 2017, 2–4 Haziran 2017, İzmir.
  38. Atılgan Büyükaşık Ş. (2018). Dynamics of squeezed states of a generalized quantum parametric oscillator. 32nd International Colloquium on Group Theoretical Methods in Physics (Group32), 9–13 Temmuz 2018, Prag, Çekya.