Existence of Multiple Positive Solutions for Nonlinear Fractional Boundary Value Problems on the Half-Line

摘要

In this paper, we deal with the following nonlinear fractional differential problem in the half-line where , the differential operator is taken in the Riemann-Liouville sense and f is a Borel measurable function in satisfying certain conditions. More precisely, we show the existence of multiple unbounded positive solutions, by means of Schauder fixed point theorem. Some examples illustrating our main result are also given.