Nonexpansive Fixed Point Technique Used to Solve Boundary Value Problems for Fractional Differential Equations

Abstract

In this paper, by using the technique of nonexpansive operators we shall establish sufficient conditions for the existence of solutions for a class of boundary value problems for fractional differential equations involving the Caputo fractional derivative and nonlinear integral boundary value conditions. Mathematics Subject Classication 2000: 47H09, 34A08.