The Adomian method applied to some extraordinary differential equations
type: Item
instance of: scholarly article
title: The Adomian method applied to some extraordinary differential equations
zbMATH Open document ID: 0828.65081
DOI: 10.1016/0893-9659(95)00036-P
author: Yanyan Li
published in: Applied Mathematics Letters
publication date: 1995-12-06T00:00:00Z
review text: The differential equation \(a(x) D^\alpha y + b(x) y = f(x)\) is considered where \(\alpha \in (0,1)\), \(D^\alpha y\) is the Riemann- Liouville fractional derivative of order \(\alpha\); \(a\), \(b\), \(f\) are analytic functions. For \(\alpha = 1/2\) and special functions \(a\), \(b\), and \(f\) the known solutions are obtained by the use of the decomposition method of \textit{G. Adomian} [Nonlinear stochastic operator equations (1986; Zbl 0609.60072)].
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 775977
zbMATH Keywords: Adomian method
zbMATH Keywords: Riemann-Liouville fractional derivative
zbMATH Keywords: decomposition method
reviewed by: Miroslav Bartušek
MaRDI profile type: Publication
cites work: Q4040348
cites work: Solution of non-integer order differential equations via the Adomian decomposition method
cites work: Q3967932
cites work: Q3864730
Wikidata QID: Q126556871
description: scientific article; zbMATH DE number 775977