Explicit solutions of fractional integral and differential equations involving Erdelyi-Kober operators

被引：35

作者：

Al-Saqabi, B

Kiryakova, VS

机构：

[1] Kuwait Univ, Dept Math & Comp Sci, Kuwait 13060, Kuwait

[2] Bulgarian Acad Sci, Inst Math & Informat, Sofia 1090, Bulgaria

[3] Ist Ric Base, Monteroduni, Italy

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1998年 / 95卷 / 01期

基金：

美国国家科学基金会;

关键词：

Riemann-Liouville and Erdelyi-Kober operators; Volterra integral equations; transmutation operators and Mittag-Leffler functions;

D O I：

10.1016/S0096-3003(97)10095-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of fractional calculus techniques we find explicit solutions of Volterra integral equations of second kind and fractional differential equations, involving Erdelyi-Kober fractional integrals or derivatives. We use the transmutation method to reduce the solutions of these equations to known solutions of simpler (Riemann-Liouville) equations of the same type. Some examples are given. (C) 1998 Elsevier Science Inc. All rights reserved.

引用

页码：1 / 13

页数：13

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