Expansion formulas for a class of function related to incomplete Fox–Wright function

Our aim in the present paper is to present some properties involving a new class of function related to the incomplete Fox–Wright function More precisely, we derive some various properties such as differentiation formulas with respect the parameters, and fractional integration formula in terms of a class of function related to the Fox–Wright function. As applications, new summation formula containing the incomplete gamma function in terms of some special functions. In particular, new identities for some class of functions related to the Fox–Wright functions in terms of the complementary error function are established.