Bifurcation of positive solutions for a class of integral boundary value problems of fractional differential equations
KONG Xiang-shan1, LI Hai-tao2 , ZHAO Hong-xin1 , LV Xun-jing1
1. Basic Science Department, Qingdao Binhai University, Qingdao 266555, China
2. School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China
Abstract Using bifurcation techniques and topological degree theory, this paper investigates the existence of positive solutions for a class of integral boundary value problems of fractional differential equations. Based on the property of the Green function, several sufficient conditions are presented for the existence of positive solutions. Finally, the study of an illustrative example shows that the obtained results are effective.
Received: 03 September 2016
Published: 18 March 2018
KONG Xiang-shan, LI Hai-tao, ZHAO Hong-xin, LV Xun-jing. Bifurcation of positive solutions for a class of integral boundary value problems of fractional differential equations. Applied Mathematics A Journal of Chinese Universities, 2017, 32(1): 13-22.
