Some fractional calculus results associated with the I-function

Authors

  • K. K. Kataria Indian Institute of Technology Bombay
  • P. Vellaisamy Indian Institute of Technology Bombay

Keywords:

I function, Marichev-Saigo-Maeda fractional operators, Appell function

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.

Author Biographies

  • K. K. Kataria, Indian Institute of Technology Bombay
    Research Scholar
    Department of Mathematics
    Inian Institute of Technology Bombay
    Mumbai, India
  • P. Vellaisamy, Indian Institute of Technology Bombay
    Professor
    Department of Mathematics
    Inian Institute of Technology Bombay
    Mumbai, India

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Published

2015-11-10

Issue

Vol. 70 No. 2 (2015)

Section

Articoli

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