Existence of solutions for fractional differential equations with multi-point boundary conditions at resonance on a half-line

Abstract

In this paper, we investigate the existence of solutions for multi-point boundary value problems at resonance concerning fractional differential equation on a half-line. Our analysis relies on the coincidence degree of Mawhin. As an application, an example is presented to illustrate the main results.

Keywords

• fractional differential equations
• multi-point boundary conditions
• resonance
• coincidence degree theorem
• half-line