On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions

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 Fpα,β·. In this sequel, h...

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Bibliographic Details
Main Authors: Dumitru Baleanu, Praveen Agarwal
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/630840
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Summary: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 Fpα,β·. In this sequel, here, we aim to establish some image formulas by applying generalized operators of the fractional integration involving Appell’s function F3(·) due to Marichev-Saigo-Maeda. Some interesting special cases of our main results are also considered.
ISSN:1085-3375
1687-0409