Some Fractional Calculus results associated with the $I$-Function
Classical Analysis and ODEs
2017-04-20 v1
Abstract
The effect of Marichev-Saigo-Maeda (MSM) fractional operators involving third Appell function on the function is studied. It is shown that the order of the -function increases on application of these operators to the power multiple of the -function. The Caputo-type MSM fractional derivatives are introduced and studied for the -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.
Keywords
Cite
@article{arxiv.1408.5745,
title = {Some Fractional Calculus results associated with the $I$-Function},
author = {K. K. Kataria and P. Vellaisamy},
journal= {arXiv preprint arXiv:1408.5745},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1408.4762