Eur. Phys. J. Special Topics 226, 3551–3566 (2017)
https://doi.org/10.1140/epjst/e2018-00041-3

Regular Article

Positive solutions for a coupled system of semipositone fractional differential equations with the integral boundary conditions

¹ School of Mathematics and Statistics, Hefei Normal University, Hefei, Anhui 230601, P.R. China
² School of Mathematical Science, Huaiyin Normal University, Huaian, Jiangsu 223300, P.R. China

^a e-mail: yanglhfnu@163.com

Received: 5 July 2017
Received in final form: 23 November 2017
Published online: 25 July 2018

Abstract

In this paper, we investigate the existence of positive solutions for a system of nonlinear fractional differential equations with sign-changing nonlinearities. The result obtained in this paper essentially improves and extends some well-known results. An example demonstrates the main results.