Hybrid method between Lyapunov's artificial small parameter and bat algorithm for fractional differential equations

Hybrid method between Lyapunov's artificial small parameter and bat algorithm for fractional differential equations

In this paper, a hybrid method between Lyapunov's artificial small parameter method (LASPM) and the bat algorithm (BA) was proposed to solve fractional differential equations, where the best parameter value (ϵ) for the LASPM was estimated by the BA. The results of the proposed method, BA-LASPM,...

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Bibliographic Details
Published in:Journal of interdisciplinary mathematics Vol. 25; no. 6; pp. 1733 - 1752
Main Authors: Sabah, Mohamed, Entesar, Ahmed, Qasim, Omar Saber
Format: Journal Article
Language:English
Published: Taylor & Francis 18-08-2022
Subjects:
Bat algorithm
Lyapunov's artificial small parameter method
Nonlinear fractional differentiation equations
Online Access:Get full text
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Summary:In this paper, a hybrid method between Lyapunov's artificial small parameter method (LASPM) and the bat algorithm (BA) was proposed to solve fractional differential equations, where the best parameter value (ϵ) for the LASPM was estimated by the BA. The results of the proposed method, BA-LASPM, demonstrated reliability and efficiency compared to the classical method by applying it to some different examples for solving problems of fractional differential equations.
ISSN:0972-0502
2169-012X
DOI:10.1080/09720502.2021.1984563