Analytical solutions of fractional differential equations using the convenient Adomian series
type: Item
instance of: scholarly article
title: Analytical solutions of fractional differential equations using the convenient Adomian series
zbMATH Open document ID: 1468.34014
DOI: 10.1155/2014/284967
author: Xiang-Chao Shi
author: Lanlan Huang
author: Zhen-Guo Deng
author: Dan Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Due to the memory trait of the fractional calculus, numerical or analytical solution of higher order becomes very difficult even impossible to obtain in real engineering problems. Recently, a new and convenient way was suggested to calculate the Adomian series and the higher order approximation was realized. In this paper, the Adomian decomposition method is applied to nonlinear fractional differential equation and the error analysis is given which shows the convenience.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A45
zbMATH DE Number: 7022090
Wikidata QID: Q59037664
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/284967
OpenAlex ID: W2043980534
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description: scientific article; zbMATH DE number 7022090