On the matrix versions of extended Struve functions and its application on fractional calculus

Abstract

In this paper, we obtain the extended Struve function and extended modified Struve matrix function by making use of extended beta
matrix function, then we establish the integral representations, differentiation formula and hypergeometric representation of these
functions. Finally, we study some results on the transform and
fractional calculus of these extended Struve and extended modified
Struve matrix functions.