摘要:The purpose of this paper is to establish some results on the existence and nonexistence of positive solutions for a type of nonlinear fractional-order two-point boundary value problems. The main tool is a fixed point theorem of the cone expansion and compression of functional type due to Avery et al. Some examples are presented to illustrate the availability of the main results. MSC:34A08, 34B10, 34B15, 34B18.
关键词:positive solution ; existence and nonexistence ; fractional differential equations ; boundary value problems ; fixed point theorem