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

Avcı, İ., & Yüzbaşı, Ş. (2026). An efficient numerical solution of multi-term fractional pantograph differential equations via generalized Bell functions. Filomat, 40(8), 3015-3042. - 2026

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

Lmou, H., Zerbib, S., Etemad, S., Avcı, İ., & Alubady, R. (2025). Existence, uniqueness and stability analysis for a f-Caputo generalized proportional fractional boundary problem with distinct generalized integral conditions. Boundary Value Problems, 2025(1), 1-19. - 2025

Boulaaras, S., Kanwal, T., Avcı, İ., Etemad, S., & Yaseen, Z. M. (2025). A study on the existence of unique stable approximate solutions: fractal-fractional-based model of an energy supply–demand system. Boundary Value Problems, 2025(1). https://doi.org/10.1186/s13661-025-02057-z - 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

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

Papers presented in international conferences and printed as proceedings

Avcı, İ. Fractal-Fractional SIR Model for Financial Contagion: Mathematical Analysis, Numerical Solutions, and Application. In The 1st International Conference on Mathematics and Applied Data Science (ICMADS’25) 29-31 August 2025, Konya, Türkiye (p. 68). - 2025

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