İbrahim AVCI

Asst. Prof. Dr. İBRAHİM AVCI

Faculty of Arts and Sciences

Telephone number +90 392 671 11 11
Extension 2611
Office ST255
Other information

CURRICULUM VITAE

Education
  • EMU Mathematics and Computer Science (PhD, 2020)
  • EMU Mathematics (Master, 2014)
  • EMU Mathematics and Computer Science (Undergraduate, 2012)
Publications

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

  • Dynamics of a model of polluted lakes via fractal–fractional operators with two different numerical algorithms - 2024
  • Hermite-hadamard-mercer inequalities for differentiable functions - 2024
  • On the Menger Probabilistic Bipolar Metric Spaces: Fixed Point Theorems and Applications - 2024
  • On the Chaotic Nature of a Caputo Fractional Mathematical Model of Cancer and its Crossover Behaviors - 2024
  • On the p-Caputo Impulsive p-Laplacian Boundary Problem: An Existence Analysis - 2024
  • Ψ-Bielecki-type norm inequalities for a generalized Sturm–Liouville–Langevin differential equation involving Ψ-Caputo fractional derivative - 2024
  • On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study - 2024
  • Matrix and Inverse Matrix Projective Synchronization of Fractional-Order Time-Delay Chaotic Systems with Uncertainty - 2024
  • Alpha-Delta Integration and Its Application in Discrete Kinetic Equation Using Mittag–Leffler Factorial Function - 2024
  • Chaos and stability of a fractional model of the cyber ecosystem - 2024
  • On the fractal-fractional Mittag-Leffler model of a COVID-19 and Zika Co-infection - 2023
  • Investigating the impact of memory effects on computer virus population dynamics: A fractal–fractional approach with numerical analysis - 2023
  • Numerical investigation and deep learning approach for fractal–fractional order dynamics of Hopfield neural network model - 2023
  • Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version - 2022
  • A new fractal-fractional version of giving up smoking model: Application of Lagrangian piece-wise interpolation along with asymptotical stability - 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 - 2022
  • Numerical Simulation of Fractional Delay Differential Equations Using the Operational Matrix of Fractional Integration for Fractional-Order Taylor Basis - 2021
  • Numerical solutions for multi-term fractional order differential equations with fractional Taylor operational matrix of fractional integration - 2020

Articles published in National journals

  • Spectral collocation with generalized Laguerre operational matrix for numerical solutions of fractional electrical circuit models - 2024
Research Areas
  • Mathematical Modelling
  • Numerical Analysis
  • Computational Mathematics
  • Fractional Differential Equations