On the existence of nonnegative solutions of nonlocal boundary value problems for a class of fractional differential equations
نویسنده
چکیده
This article studies the existence of nonnegative solutions for a boundary value problem (BVP) of nonlinear fractional differential equations. Some new existence results are obtained by applying Kranoselskii‘s fixed–point theorem in a cone. First we prove the existence of solutions of an auxiliary BVP formulated by truncating the response function. Then the Arzela–Ascoli theorem is used to take C1 limits of sequences of such solutions. As an application, we give an examples that illustrate our results.
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تاریخ انتشار 2012