A Study on Positive Solutions to Nonlinear Fractional Differential Equations

Abstract

The purpose of this article concerns a type of nonlinear boundary value problem of fractional differential equations with the Caputo derivative. Using the fixed point index theory of condensing mapping in cones, the existence results of positive solutions for such a problem are obtained.

Keywords

• positive solutions
• integral boundary conditions
• existence
• measure of noncompactness
• Green’s function