Existence results for boundary value problems of nonlinear fractional differential equations

Abstract: In this paper, we consider the existence of solutions for the nonlinear fractional differential equation with the boundary value conditions where and are the standard Caputo derivative with . By using the contraction mapping principle and the Schauder fixed point theorem, some existence results are obtained. In addition, Lemma 2.6 in this paper is a valuable tool in seeking solvability of the fractional differential equations. [Copyright &y& Elsevier]