Explicit solutions of some linear ordinary and partial fractional differintegral equations.
type: Item
instance of: scholarly article
title: Explicit solutions of some linear ordinary and partial fractional differintegral equations.
zbMATH Open document ID: 1033.45006
DOI: 10.1016/S0096-3003(02)00389-2
author: Chung-Yi Lee
author: Wen-Chyuan Yueh
author: H. M. Srivastava
published in: Applied Mathematics and Computation
publication date: 2003-08-07T00:00:00Z
review text: The authors employ some general theorems and lemmas, related to fractional differintegrals (fractional differential and integral operators), to obtain (in a unified manner) particular solutions of second and third order homogeneous and non-homogeneous linear ordinary fractional differintegral equations and some partial fractional differintegral equations. They predict some interesting consequences and applications of their results. In addition to the references cited by them, following reference (from the point of view of applications of fractional differintegrals) may be of interest: \textit{P. K. Banerji} and \textit{A. M. H. Alhashemi} [Proc. Natl. Acad. Sci. India, Sect. A 69, 191--197 (1999; Zbl 0965.34073); J. Indian Acad. Math. 21, 155--167 (1999; Zbl 0994.34002)]; \textit{Y. Deora} and \textit{P. K. Banerji} [Fractional Calc. 5, 91--94 (1994; Zbl 0814.35089)].
reviewed by: P. K. Banerji
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 1961556
zbMATH Keywords: fractional calculus
zbMATH Keywords: differintegral equations
zbMATH Keywords: (ordinary and partial) linear differential equations
zbMATH Keywords: analytic (regular) functions
zbMATH Keywords: index law
zbMATH Keywords: generalized Leibniz rule
MaRDI profile type: Publication
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full work available at URL: s0096-3003(02)00389-2
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description: scientific article; zbMATH DE number 1961556