Existence and multiplicity of positive solutions for m-point nonlinear fractional differential equations on the half line

Abstract

In this article we find sufficient conditions for existence and multiplicity of positive solutions for an $m$-point nonlinear fractional boundary-value problem on an infinite interval. Moreover, we prove that the set of positive solutions is compact. Nonexistence results for the boundary-value problem also are obtained.

Keywords

• Fractional derivative
• fixed point theorem
• positive solution