Existence of solutions for integro-differential equations of fractional order with nonlocal three-point fractional boundary conditions

Abstract

In this paper, we study the existence of solutions for Riemann-Liouville type integro-differential equations of fractional order α ∈ (2, 3] with nonlocal three-point fractional boundary conditions via Sadovskii's fixed point theorem for condensing maps. An illustrative example is also presented. © 2013 Agarwal et al.; licensee Springer.