Some Results in the Theory of Fractional Order Integro-Differential Equation with Boundary Conditions

Abstract

This paper deals with the existence and uniqueness of the solution for a boundary value problem of fractional order integro-differential equation, when using Banach fixed point theorem and Shafer’s fixed point theorem. This investigation based on the well known Riemann-Liouville fractional differential operator.

Keywords

• integro-differential equation
• boundary conditions
• fractional order
• riemann-liouville fractional differential operator