Positive solutions to p-Laplacian fractional differential equations with infinite-point boundary value conditions

Abstract

Abstract This paper is devoted to an investigation of the multiple positive solutions to a class of infinite-point boundary value problems of nonlinear fractional differential equations coupled with the p-Laplacian operators and infinite-point boundary value conditions. By means of the properties of Green’s function and fixed point theorems, we establish the suitable criteria to guarantee the existence of positive solutions. Finally, an example is given in order to illustrate the main results.

Keywords

• Fractional differential equations
• Infinite-point boundary conditions
• p-Laplacian operators
• Fixed point theorems