Explicit solutions of Jacobi and Gauss differential equations by means of operators of fractional calculus
type: Item
instance of: scholarly article
title: Explicit solutions of Jacobi and Gauss differential equations by means of operators of fractional calculus
zbMATH Open document ID: 1151.34003
author: Pin-Yu Wang
author: Shy-Der Lin
author: H. M. Srivastava
published in: Applied Mathematics and Computation
publication date: 2008-06-11T00:00:00Z
review text: This paper is concerned with the use of methods from the fractional calculus to solve integer-order differential equations. Following preliminaries, in which basic ideas from the fractional calculus are introduced, the authors go on to present a new theorem on solutions of integer-order problems based on an existing theorem by Tu, Chyan and Srivastava for fractional order equations. This new result provides alternative formulations of solutions of classical differential equations.
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 5286442
zbMATH Keywords: fractional calculus
zbMATH Keywords: ordinary differential equations
reviewed by: Neville J. Ford
MaRDI profile type: Publication
full work available at URL: j.amc.2007.10.037
OpenAlex ID: W2047562684
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DOI: 10.1016/J.AMC.2007.10.037
description: scientific article; zbMATH DE number 5286442