Abstract

Motivated by a recent work on Pathway fractional integral operator associated with the generalized k-Struve function,this paper establishes five theorems by using Pathway fractional integral operator involving the product of the $(p,q)$-Extended Bessel function and Generalized k-Struve function, supported by several auxiliary lemma. The results are expressed in terms of the $_{r+k}F_{s+k}$ and generalized k-Wright function $ {_r\psi_s}^k$.Some new and known results are also obtained in special cases of main results. Then, their certain Integral transforms including Jafari transform via Pathway Fractional Integral formulas Involving Product of $(p,q)$-Extended Bessel function and Generalized k-Struve Function.

Keywords and Phrases

Pathway Fractional Integral Operator, $(p,q)$-Extended Bessel function and Generalized k-Struve function, $(p,q)$-Extended generalized hypergeometric function and Generalized Wright function, Jafari transform.

A.M.S. subject classification

Primary 26A33, Secondary 33C45, 33E12, 44A20.

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