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On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions

Author

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  • Dumitru Baleanu
  • Praveen Agarwal

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

Suggested Citation

  • Dumitru Baleanu & Praveen Agarwal, 2014. "On Generalized Fractional Integral Operators and the Generalized Gauss Hypergeometric Functions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, April.
    • Handle: RePEc:hin:jnlaaa:630840
    DOI: 10.1155/2014/630840
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    Cited by:

    1. Pushpa Narayan Rathie & Luan Carlos de Sena Monteiro Ozelim, 2022. "On the Relation between Lambert W-Function and Generalized Hypergeometric Functions," Stats, MDPI, vol. 5(4), pages 1-9, November.
    2. Pushpa Narayan Rathie & Luan Carlos de Sena Monteiro Ozelim & Felipe Quintino & Tiago A. da Fonseca, 2023. "On the Extreme Value H -Function," Stats, MDPI, vol. 6(3), pages 1-10, August.
    3. Ahmed Bakhet & Abd-Allah Hyder & Areej A. Almoneef & Mohamed Niyaz & Ahmed H. Soliman, 2022. "On New Matrix Version Extension of the Incomplete Wright Hypergeometric Functions and Their Fractional Calculus," Mathematics, MDPI, vol. 10(22), pages 1-14, November.

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