Solutions of Fractional Order Integro-differential Equations by Two Semi-analytical Methods.
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Date
2023-10-01
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Publisher
Nigerian Society for Mathematical Biology, University of Benin, Benin City.
Abstract
This paper is concerned with the solution of fractional order integro-differential equations where the fraction order, 𝜂 is in the interval (3, 4]. Two semi-analytical methods; Variational Iteration Method (VIM) and Homotopy Perturbation Method (HPM) are implemented for the solution of the class of problems considered. Few examples are solved and the results obtained compared favorably with the existing results in the literature. All codes used in solving the problems are written in Mathematica 11.3
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Keywords
integro-differential equation, semi-analytical method, fractional order, caputo derivative, correction functional
Citation
Yisa, B. M. & Yusuf, Z. B. (2023): Solutions of Fractional Order Integro-differential Equations by Two Semi-analytical Methods. Int. J. Math. Anal. Model. 6(2), 41 – 54.