The method of lower and upper solutions for the general boundary value problems of fractional differential equations with p-Laplacian

Abstract

Abstract We present here a new method of lower and upper solutions for a general boundary value problem of fractional differential equations with p-Laplacian operators. By using this approach, some new results on the existence of positive solutions for the equations with multiple types of nonlinear integral boundary conditions are established. Finally, some examples are presented to illustrate the wide range of potential applications of our main results.

Keywords

• fractional differential equations
• p-Laplacian operators
• functional
• general boundary value problem
• method of lower and upper solutions
• positive solution