On Solution of Non-homogeneous Fractional Linear Boundary Value Problem

Abstract

Analytical and numerical solutions of non-homogeneous linear fractional boundary value problems play a very important role in the interpretation of various model results. In this work, we present the existence and uniqueness results for the solution of non-homogeneous linear fractional boundary value problem using the Banach fixed point theorem in the space of continuous functions. The analytic solution is presented using the Laplace transform approach and the collocation parallel shooting method is employed for the numerical solutions.