Monotone iterative method for a p-Laplacian boundary value problem with fractional conformable derivatives

Abstract

Abstract By using monotone iterative method, the extremal solutions and the unique solution are obtained for a nonlinear fractional p-Laplacian boundary value problem involving fractional conformable derivatives and nonlocal integral boundary conditions. Comparison theorems related to the proposed study are also proved. The paper concludes with an illustrative example for the main result.

Keywords

• Fractional conformable derivative
• p-Laplacian operator
• Nonlocal integral boundary condition
• Extremal solution
• Monotone iterative method