Existence of solutions for fractional differential equations with integral boundary conditions

Abstract

In this paper, we study boundary-value problems for the following nonlinear fractional differential equations involving the Caputo fractional derivative:continuous function and m ∈ R, n -1 < α < n (n ≥ 2), 0 < β < 1 is a real number. By means of the Banach fixed-point theorem and the Schauder fixed-point theorem, some solutions are obtained, respectively. As applications, some examples are presented to illustrate our main results. MSC: 34A08; 34B10

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