The Investigation of a Solution Existence for a Bi-Dealing Singular Fractional Intergro-Differential Equation

This article investigates the existence of a solution for a singular fractional differential equation. For this, the researchers have changed the main differential equation into an integral equation, then through determining some assumptions that could control its main singular points; the existence of a solution has been proved for the equation by applying a fixed point theorem, as well. The significance of the proposed paper is regarded as the equation's novelty on its boundary condition which is a generalization of similar ones. Likewise the condition, is a generalization for the similar cases and it conduces to consider a singular equation with infinite singular points. Having two dealings on its dominate is of high significance for the equation which should be remarkable.