ON SOLUTION OF FRACTIONAL ADVECTION -DISPERSION EQUATION USING NHPM

By

Neelu Pareek¹ and Arvind Gupta²

¹Department of Mathematics, Bhagat Singh Government Postgraduate College, Jaora-457226, (Ratlam), Madhya

Pradesh, India

²Department of Mathematics, M. V. M., Bhopal-462011, Madhya Pradesh, India

Email:neelupareek1@gmail.com; arvind533@yahoo.com

(Received : July 29, 2020; Revised : May 23, 2021; In final form : May 28, 2021)

DOI: https://doi.org/10.58250/Jnanabha.2021.51118

Abstract

In this paper, we derive certain relations of the series of two variable Srivastava-Daoust functions with some known Mittag- Leffler and hypergeometric functions of two variables. Again, by these functions we obtain certain identities with other integral representations also. Finally, on application of these contour integral formulae of respective Srivastava-Daoust functions, we determine certain identities of the integrals involving the Hurwitch-Lerch zeta type functions.

2010 Mathematics Subject Classifications: 33C60, 33C70, 33E12, 30E25.

Keywords and phrases: Contour integral representations, Mittag-Leffler functions, Srivastava-Daoust functions, hypergeometric functions and Hurwitch- Lerch zeta type functions.

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