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arXiv · 1408.5745

Some Fractional Calculus results associated with the $I$-Function

K. K. Kataria·P. Vellaisamy
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Abstract

The effect of Marichev-Saigo-Maeda (MSM) fractional operators involving third Appell function on the $I$ function is studied. It is shown that the order of the $I$-function increases on application of these operators to the power multiple of the $I$-function. The Caputo-type MSM fractional derivatives are introduced and studied for the $I$-function. As special cases, the corresponding assertions for Saigo and Erd\'elyi-Kober fractional operators are also presented. The results obtained in this paper generalize several known results obtained recently in the literature.

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BibTeXRIS

K. K. Kataria, P. Vellaisamy. 2014-08-25. Some Fractional Calculus results associated with the $I$-Function. https://doi.org/10.4418/2015.70.2.12

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