Existence of positive solutions to a class of Caputo fractional differential equations

Abstract

In order to investigate the existence of positive solutions to a class of Caputo fractional differential equation boundary value problems with p-Laplacian operator, the Green’s function is obtained by calculus, and its properties are discussed. By using monotone iterative technique, at least two positive solutions are obtained for the boundary value problems. An example is given to illustrate the existence of positive solutions to this kind of equation boundary value problems.

Keywords

• ordinary differential equation
• Caputo fractional derivative
• positive solution
• monotone iteratiation
• boundary value problems