Research ArticleNo Access

Solve fractional differential equations via a hybrid method between variational iteration method and gray wolf optimization algorithm

Ahmed Entesar

Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq

E-mail Address: omar.saber@uomosul.edu.iq

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and

Omar Saber Qasim

Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq

E-mail Address: ahmed_entesar84@uomosul.edu.iq

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https://doi.org/10.1142/S1793557121501448Cited by:2 (Source: Crossref)

Abstract

In this paper, a hybrid method between Variational Iteration Method (VIM) and gray wolf optimization algorithm (GWO) was proposed to solve the fractional differential equations (FDE), where the optimal parameter value ( $λ)$ for the VIM was estimated by the GWO. The solutions in the proposed method, GWO-VIM, demonstrated the efficiency and reliability compared to the default method VIM, by calculating the maximum absolute errors (MAE) and mean square error (MSE).

Communicated by B. K. Dass

Keywords:

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