Existence of solutions for a fractional differential equations with integral boundary value problem at resonance on the half-line

摘要

In this paper, some sufficient conditions are obtained for the existence of solutions for a fractional differential equation with integral boundary value problem at resonance on the half-line. By constructing a suitable Banach space, defining appropriate operators and using the coincidence degree theory due to Mawhin, some new sufficient conditions are obtained, which generalise and enrich some known results.