Positive solutions for a class of fractional differential equations with infinite-point boundary conditions on infinite intervals

Abstract

Abstract In this paper, the existence of the multiple positive solutions for a class of higher-order fractional differential equations on infinite intervals with infinite-point boundary value conditions is mainly studied. First, we construct the Green function and analyze its properties, and then by using the Leggett–Williams fixed point theorem, some new results on the existence of positive solutions for the boundary value problem are obtained. Finally, we illustrate the application of our conclusion by an example.

Keywords

• Fractional differential equation
• Infinite intervals
• Multiple positive solutions
• Infinite-point