On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions-Reference-Cited by-同舟云学术

On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions

Published:2014 Issue: Volume:2014 Page:1-5
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Baleanu Dumitru¹²³,Agarwal Praveen⁴

Affiliation:

1. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia

2. Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, Ankara, Turkey

3. Institute of Space Sciences, P.O. Box MG-23, Magurele, 76900 Bucharest, Romania

4. Department of Mathematics, Anand International College of Engineering, Jaipur 303012, India

Abstract

A remarkably large number of fractional integral formulas involving the number of special functions, have been investigated by many authors. Very recently, Agarwal (National Academy Science Letters) gave some integral transform and fractional integral formulas involving theFpα,β·. In this sequel, here, we aim to establish some image formulas by applying generalized operators of the fractional integration involving Appell’s functionF3(·)due to Marichev-Saigo-Maeda. Some interesting special cases of our main results are also considered.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/630840.pdf

Reference17 articles.

1. Extended hypergeometric and confluent hypergeometric functions

2. Extension of gamma, beta and hypergeometric functions

3. Certain Properties of the Generalized Gauss Hypergeometric Functions

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