Open Access Research

Positive solution for a class of singular semipositone fractional differential equations with integral boundary conditions

Xingqiu Zhang

Author Affiliations

School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, P.R. China

School of Mathematics, Liaocheng University, Liaocheng, Shandong, 252059, P.R. China

Boundary Value Problems 2012, 2012:123  doi:10.1186/1687-2770-2012-123

Published: 24 October 2012

Abstract

In this article, by employing a fixed point theorem in cones, we investigate the existence of a positive solution for a class of singular semipositone fractional differential equations with integral boundary conditions. We also obtain some relations between the solution and Green’s function.

MSC: 26A33, 34B15, 34B16, 34G20.

Keywords:
fractional differential equations; integral boundary value problem; positive solution; semipositone; cone