Existence and Uniqueness Theorems of MultiDimensional Integro-Differential Equations with Conformable Fractional Differointegrations

Abstract

The primary goal of this article is to theoretically state and demonstrate the existence of unique solutions to three different
types of multi-dimensional conformable fractional partial integro-differential equation problems. The proofs of these theorems are
based on a well-known Banach’s fixed point theorem. On the basis of the Lipschitz condition, necessary requirements are developed
that the infernal function of the integral operators must satisfy.