An efficient series solution for fractional differential equations
type: Item
instance of: scholarly article
title: An efficient series solution for fractional differential equations
zbMATH Open document ID: 1474.35630
DOI: 10.1155/2014/891837
author: Mohammed Al-Refai
author: M. A. Hajji
author: Muhammed Syam
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We introduce a simple and efficient series solution for a class of nonlinear fractional differential equations of Caputo's type. The new approach is a modified form of the well-known Taylor series expansion where we overcome the difficulty of computing iterated fractional derivatives, which do not compute in general. The terms of the series are determined sequentially with explicit formula, where only integer derivatives have to be computed. The efficiency of the new algorithm is illustrated through several examples. Comparison with other series methods such as the Adomian decomposition method and the homotopy perturbation method is made to indicate the efficiency of the new approach. The algorithm can be implemented for a wide class of fractional differential equations with different types of fractional derivatives.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35C10
zbMATH DE Number: 7023252
Wikidata QID: Q59042286
describes a project that uses: ma2dfc
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/891837
OpenAlex ID: W2031934549
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description: scientific article; zbMATH DE number 7023252