• ON MULTIPLE FRACTIONAL KINETIC DIFFERINTEGRAL EQUATION AND MULTIPLE FRACTIONAL DIFFUSION EQUATION WITH I-FUNCTION OF r-VARIABLES

A. M. Khan*

Abstract


The present paper deals with the solution of multiple form of fractional kinetic equation and fractional diffusion equation containing I-function of r-variables by method of Laplace transform. In this regard, we have proved few theorems, lemmas, corollaries and discussed many new definitions in expanded forms. The solution have been developed in terms of multivariable I-function which are suitable for numerical computation. Similar results obtained by other authors follows as special cases of our investigations.


Keywords


Multiple Fractional kinetic equation, Fractional diffusion equation, Multivariable I-function, M-Leffler function, Fractional differ integral equation.

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