Asst. Prof. Dr. İBRAHİM AVCI

Articles published in peer reviewed international journals (SCI,SSCI,Arts and Humanities)

• George, R., Etemad, S., Avcı, İ., & Alshammari, F. S. (2025). A Qualitative Study for Two Discrete Fractional Delta Difference BVPs with Falling Functions: Application on the Temperature Control System. Qualitative Theory of Dynamical Systems, 24(1), 1-32. - 2025
• Kanwal, T., Hussain, A., Avcı, İ., Etemad, S., Rezapour, S., & Torres, D. F. (2024). Dynamics of a model of polluted lakes via fractal–fractional operators with two different numerical algorithms. Chaos, Solitons & Fractals, 181, 114653. - 2024
• Sitthiwirattham, T., Vivas-Cortez, M., Ali, M. A., Budak, H., & Avci, I. (2024). A study of fractional Hermite–Hadamard–Mercer inequalities for differentiable functions. Fractals, 32(02), 2440016. - 2024
• Mani, G., Ramalingam, B., Etemad, S., Avcı, İ., & Rezapour, S. (2024). On the menger probabilistic bipolar metric spaces: Fixed point theorems and applications. Qualitative Theory of Dynamical Systems, 23(3), 99. - 2024
• Deressa, C. T., Mukharlyamov, R. G., Nabwey, H. A., Etemad, S., & Avci, I. (2024). On the Chaotic Nature of a Caputo Fractional Mathematical Model of Cancer and its Crossover Behaviors. FRACTALS (fractals), 32, 1-21. - 2024
• Chabane, F., Benbachir, M., Etemad, S., Rezapour, S., & Avcı, I. (2024). On the p-Caputo Impulsive p-Laplacian Boundary Problem: An Existence Analysis. Qualitative theory of dynamical systems, 23(3), 36. - 2024
• Serrai, H., Tellab, B., Etemad, S., Avcı, İ., & Rezapour, S. (2024). Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative. Boundary Value Problems, 2024(1), 81. - 2024
• Sreedharan, R., Balachandar, S. R., Udhayakumar, R., Etemad, S., Avcı, İ., & Rezapour, S. (2024). On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study. Boundary Value Problems, 2024(1), 74. - 2024
• Shukla, V. K., Joshi, M. C., Mishra, P. K., Avcı, İ., & Etemad, S. (2024). Matrix and Inverse Matrix Projective Synchronization of Fractional‐Order Time‐Delay Chaotic Systems with Uncertainty. International Journal of Differential Equations, 2024(1), 4275850. - 2024
• Simon, J., Etemad, S., Gnanaprakasam, B. A. X., & Avcı, İ. (2024). Alpha‐Delta Integration and Its Application in Discrete Kinetic Equation Using Mittag–Leffler Factorial Function. Journal of Mathematics, 2024(1), 8030185. - 2024
• Gómez-Aguilar, J. F., Naik, M. K., George, R., Baishya, C., Avcı, İ., & Pérez-Careta, E. (2024). Chaos and stability of a fractional model of the cyber ecosystem. AIMS Math, 9(8), 22146-22173. - 2024
• Rezapour, S., Asamoah, J. K. K., Etemad, S., Akgül, A., Avcı, İ., & El Din, S. M. (2023). On the fractal-fractional Mittag-Leffler model of a COVID-19 and Zika Co-infection. Results in Physics, 55, 107118. - 2023
• Avcı, İ., Hussain, A., & Kanwal, T. (2023). Investigating the impact of memory effects on computer virus population dynamics: A fractal–fractional approach with numerical analysis. Chaos, Solitons & Fractals, 174, 113845. - 2023
• Avcı, İ., Lort, H., & Tatlıcıoğlu, B. E. (2023). Numerical investigation and deep learning approach for fractal–fractional order dynamics of Hopfield neural network model. Chaos, Solitons & Fractals, 177, 114302. - 2023
• Etemad, S., Avci, I., Kumar, P., Baleanu, D., & Rezapour, S. (2022). Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version. Chaos, Solitons & Fractals, 162, 112511. - 2022
• Etemad, S., Shikongo, A., Owolabi, K. M., Tellab, B., Avcı, İ., Rezapour, S., & Agarwal, R. P. (2022). A new fractal-fractional version of giving up smoking model: Application of Lagrangian piece-wise interpolation along with asymptotical stability. Mathematics, 10(22), 4369. - 2022
• Rezapour, S., Etemad, S., Avcı, İ., Ahmad, H., & Hussain, A. (2022). A Study on the Fractal‐Fractional Epidemic Probability‐Based Model of SARS‐CoV‐2 Virus along with the Taylor Operational Matrix Method for Its Caputo Version. Journal of Function Spaces, 2022(1), 2388557. - 2022
• Avcı, İ. (2021). Numerical simulation of fractional delay differential equations using the operational matrix of fractional integration for fractional-order Taylor basis. Fractal and Fractional, 6(1), 10. - 2021
• Avcı, I., & Mahmudov, N. I. (2020). Numerical solutions for multi-term fractional order differential equations with fractional Taylor operational matrix of fractional integration. Mathematics, 8(1), 96. - 2020

Papers presented in international conferences and printed as proceedings

• Avcı, İ. (2024). A Comprehensive Analysis of the Fractal-Fractional 3D Hopfield Neural Network Model via Newton Interpolation Polynomials, The 9th International Conference on Control and Optimization with Industrial Applications. Istanbul Universitesi Cerrahpasa, 27-29 August. Istanbul, Türkiye. - 2024
• Avcı, İ. (2018). Numerical Solutions Of Sequential Fractional Equations By Using Fractional Taylor Basis, The 6th International Conference on Control and Optimization with Industrial Applications. Baku State University, 11-13 July. Baku, Azerbaijan - 2018

Articles published in National journals

• Avcı, İ. (2024). Spectral collocation with generalized Laguerre operational matrix for numerical solutions of fractional electrical circuit models. Mathematical Modelling and Numerical Simulation with Applications, 4(1), 110-132. - 2024