Solving Linear and Nonlinear Fractional Differential Equations  Using Bees Algorithm

Azzam S.Y. Aladool; Abdulrazzaq T. Abed

doi:10.24996/ijs.2023.64.3.26

Authors

Azzam S.Y. Aladool Department of Mathematics, College of Education for Pure Science, University of Mosul, Mosul Iraq,
Abdulrazzaq T. Abed Department of Mathematics, College of Education for Pure Science, University of Mosul, Mosul Iraq,

DOI:

https://doi.org/10.24996/ijs.2023.64.3.26

Keywords:

fractional differential equations, Bees algorithm, Chebyshev polynomials, Caputo derivative, Numerical solution, Metaheuristic algorithm

Abstract

A numerical algorithm for solving linear and non-linear fractional differential equations is proposed based on the Bees algorithm and Chebyshev polynomials. The proposed algorithm was applied to a set of numerical examples. Faster results are obtained compared to the wavelet methods.