Abstract and Applied Analysis

On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions

Dumitru Baleanu and Praveen Agarwal

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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 the F p α , β · . In this sequel, here, we aim to establish some image formulas by applying generalized operators of the fractional integration involving Appell’s function F 3 ( · ) due to Marichev-Saigo-Maeda. Some interesting special cases of our main results are also considered.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 630840, 5 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412606729

Digital Object Identifier
doi:10.1155/2014/630840

Mathematical Reviews number (MathSciNet)
MR3200794

Zentralblatt MATH identifier
07022776

Citation

Baleanu, Dumitru; Agarwal, Praveen. On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 630840, 5 pages. doi:10.1155/2014/630840. https://projecteuclid.org/euclid.aaa/1412606729


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