Some generalized fractional calculus operators and their applications in integral equations-Reference-Cited by-同舟云学术

Some generalized fractional calculus operators and their applications in integral equations

Published:2012-09-29 Issue:4 Volume:15 Page:700-711
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Agrawal Om¹

Affiliation:

1. Mechanical Engineering and Energy Processes, Southern Illinois University, Carbondale, IL, 62901, USA

Abstract

Abstract In this paper, we survey some generalizations of fractional integrals and derivatives and present some of their properties. Using these properties, we show that many integral equations can be solved in a much elegant way. We believe that this will blur the distinction between the integral and differential equations, and provide a systematic approach for the two of these classes.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.2478/s13540-012-0047-7.pdf

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