Asst. Prof. Dr. İBRAHİM AVCI

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

• George, Reny, et al. "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 (2025): 1-32. - 2025
• Kanwal, Tanzeela, et al. "Dynamics of a model of polluted lakes via fractal–fractional operators with two different numerical algorithms." Chaos, Solitons & Fractals 181 (2024): 114653. - 2024
• Sitthiwirattham, Thanin, et al. "A STUDY OF FRACTIONAL HERMITE–HADAMARD–MERCER INEQUALITIES FOR DIFFERENTIABLE FUNCTIONS." Fractals 32.2 (2024): 1-13. - 2024
• Mani, Gunaseelan, et al. "On the Menger Probabilistic Bipolar Metric Spaces: Fixed Point Theorems and Applications." Qualitative Theory of Dynamical Systems 23.3 (2024): 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(07n08), 1-21. - 2024
• Chabane, Farid, et al. "On the ρ-Caputo Impulsive p-Laplacian Boundary Problem: An Existence Analysis." Qualitative Theory of Dynamical Systems 23.3 (2024): 133. - 2024
• Serrai, Hacen, et al. "Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative." Boundary Value Problems 2024.1 (2024): 81. - 2024
• Sreedharan, R., et al. "On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study." Boundary Value Problems 2024.1 (2024): 74. - 2024
• Shukla, Vijay K., et al. "Matrix and Inverse Matrix Projective Synchronization of Fractional‐Order Time‐Delay Chaotic Systems with Uncertainty." International Journal of Differential Equations 2024.1 (2024): 4275850. - 2024
• Simon, Jaraldpushparaj, et al. "Alpha‐Delta Integration and Its Application in Discrete Kinetic Equation Using Mittag–Leffler Factorial Function." Journal of Mathematics 2024.1 (2024): 8030185. - 2024
• Gómez-Aguilar, José F., et al. "Chaos and stability of a fractional model of the cyber ecosystem." AIMS Mathematics 9.8 (2024): 22146-22173. - 2024
• Rezapour, Shahram, et al. "On the fractal-fractional Mittag-Leffler model of a COVID-19 and Zika Co-infection." Results in Physics 55 (2023): 107118. - 2023
• Avcı, İbrahim, Azhar Hussain, and Tanzeela Kanwal. "Investigating the impact of memory effects on computer virus population dynamics: A fractal–fractional approach with numerical analysis." Chaos, Solitons & Fractals 174 (2023): 113845. - 2023
• Avcı, İbrahim, Hüseyin Lort, and Buğce E. Tatlıcıoğlu. "Numerical investigation and deep learning approach for fractal–fractional order dynamics of Hopfield neural network model." Chaos, Solitons & Fractals 177 (2023): 114302. - 2023
• Etemad, Sina, et al. "Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version." Chaos, Solitons & Fractals 162 (2022): 112511. - 2022
• Etemad, Sina, et al. "A new fractal-fractional version of giving up smoking model: Application of Lagrangian piece-wise interpolation along with asymptotical stability." Mathematics 10.22 (2022): 4369. - 2022
• Rezapour, Shahram, et al. "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 (2022): 2388557. - 2022
• Avcı, İbrahim. "Numerical simulation of fractional delay differential equations using the operational matrix of fractional integration for fractional-order Taylor basis." Fractal and Fractional 6.1 (2021): 10. - 2021
• Avci, I., and N. I. Mahmudov. "Numerical solutions for multi-term fractional order differential equations with fractional Taylor operational matrix of fractional integration." Mathematics 1 (2020): 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, İbrahim. "Spectral collocation with generalized Laguerre operational matrix for numerical solutions of fractional electrical circuit models." Mathematical Modelling and Numerical Simulation with Applications 4.1 (2024): 110-132. - 2024