Boundary value problems for differential equations involving riemann-liouville fractional derivative on the half-line

摘要

In this paper, we establish suffcient conditions for the existence of solutions for a class of boundary value problem for fractional di?erential equations involving the Riemann-Liouville fractional derivative on infinite intervals. This result is based on the nonlinear alternative of Leray-Schauder type combined with the diagonalization method.