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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/630840 |
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| author | Dumitru Baleanu Praveen Agarwal |
| author_facet | Dumitru Baleanu Praveen Agarwal |
| author_sort | Dumitru Baleanu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-018eebcc6f6a47788d01545ed599a85c |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-018eebcc6f6a47788d01545ed599a85c2025-08-20T02:03:24ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/630840630840On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric FunctionsDumitru Baleanu0Praveen Agarwal1Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Anand International College of Engineering, Jaipur 303012, IndiaA 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.http://dx.doi.org/10.1155/2014/630840 |
| spellingShingle | Dumitru Baleanu Praveen Agarwal On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions Abstract and Applied Analysis |
| title | On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions |
| title_full | On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions |
| title_fullStr | On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions |
| title_full_unstemmed | On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions |
| title_short | On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions |
| title_sort | on generalized fractional integral operators and the generalized gauss hypergeometric functions |
| url | http://dx.doi.org/10.1155/2014/630840 |
| work_keys_str_mv | AT dumitrubaleanu ongeneralizedfractionalintegraloperatorsandthegeneralizedgausshypergeometricfunctions AT praveenagarwal ongeneralizedfractionalintegraloperatorsandthegeneralizedgausshypergeometricfunctions |