ON SOLUTION OF FRACTIONAL ADVECTION -DISPERSION EQUATION USING NHPM
Neelu Pareek¹ and Arvind Gupta²
¹Department of Mathematics, Bhagat Singh Government Postgraduate College, Jaora-457226, (Ratlam), Madhya
²Department of Mathematics, M. V. M., Bhopal-462011, Madhya Pradesh, India
(Received : July 29, 2020; Revised : May 23, 2021; In final form : May 28, 2021)
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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