Application of a matrix Mittag-Leffler function to the frac-tional partial integro-differential equation in Rn

In this paper, we investigate the uniqueness of solutions to a new fractional partial integro-differential equation (abbreviated FPIDE) with a boundary condition by using a recently established matrix Mittag-Leffler function, Banach's contractive principle, and Babenko's approach. Furthermore, we supply an example that employs the results derived in the paper via a python code which computes an approximate value to the matrix Mittag-Leffler function.