Bifurcation techniques for a class of boundary value problems of fractional impulsive differential equations

Abstract

This paper investigates the existence of positive solutions for a class of boundary value problems (BVP) of fractional impulsive dierential equations and presents a number of new results. First, by constructing a novel transformation, the considered impulsive system is convert into a continuous system. Second, using a specially constructed cone, the Krein-Rutman theorem, topological degree theory, and bifurcation techniques, some sucient conditions are obtained for the existence of positive solutions to the considered BVP. Finally, an example is worked out to demonstrate the main result. c 2015 All rights reserved.