The Journal of the Indian Mathematical Society

Dinesh Singh ¹, Renu Jain ²

Affiliations
1 Department of Applied Maths., ITM, Gwalior (M.P.)-474 011, IN
2 School of Mathematics and Allied Sciences, Jiwaji University, Gwalior(M.P.)-474011, IN

Abstract

The subject of this paper is to solve a fractional kinetic equation involving a generalized Lauricella confluent hypergeometric function. The method is based on certain properties of fractional calculus and the Laplace transform. Several special cases are obtained.

Keywords

Fractional Kinetic Equation, Confluent Form of Lauricella Series, Laplace Transform, Riemann-Liouville Fractional Integral and Differential.

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S. K. Sharma ¹, Renu Jain ²

Affiliations
1 Department of Mathematics, Institute of Technology and Management, Gwalior, IN
2 School of Mathematics and Allied Sciences, Jiwaji University, Gwalior, IN

Abstract

In this paper, the symmetry operators for basic analogue of Meijer's G-functions have been obtained, which are further employed to establish the canonical equation for the same.

Keywords

Meijer G-function, Q-Difference Equations, Canonical Equations.

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