The Research and Postgraduate Centre congratulates Assoc. Prof. Dr. Kareem T. Elgindy from the Department of Mathematics, School of Mathematics and Physics, for his recent research article published in Mathematics and Computers in Simulation, an SCI Q1 journal with the latest impact factor of 4.4.

In the paper entitled “Fourier-Gegenbauer pseudospectral method for solving periodic fractional optimal control problems”, a novel method is introduced for solving optimal control problems involving systems described by fractional-order differential equations of Riemann-Liouville and Caputo fractional derivatives types with sliding fixed memory lengths. These fractional-order models are valuable for representing real-world phenomena where classical integer-order differential equations are not accurate enough. The paper proposes a new formulation for periodic fractional optimal control problems, enabling the discovery of optimal control strategies for fractional systems exhibiting periodic behavior. It introduces a novel and efficient way to calculate periodic fractional derivatives of periodic functions using Fourier and Gegenbauer pseudospectral methods. This approach leads to an accurate and efficient numerical method for solving periodic fractional optimal control problems.

The published full article can be accessed at https://doi.org/10.1016/j.matcom.2024.05.003.