Existence of solutions for fractional differential equations with multi-point boundary conditions

We discuss the existence of solutions for a nonlinear multi-point boundary value problem of integro-differential equations of fractional order q ∈ (1, 2]. Our analysis relies on the contraction mapping principle and the Krasnoselskii’s fixed point theorem. Example is provided to illustrate the theory.

► To study the boundary value problems of nonlinear multi-point fractional integro-differential equations. ► To obtain the solution of the problems, derive the corresponding Green’s function for the boundary value problem. ► To give some sufficient conditions for the existence and uniqueness of solution of the problems.