Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator

Abstract

Abstract In this article, by using nonlinear Leray–Schauder-type alternative and Banach’s fixed point theorem, we investigate existence and uniqueness of solutions. We also prove Hyers–Ulam stability for the proposed coupled system of fractional differential equations (FDEs) with the nonlinear p-Laplacian operator and Riemann–Liouville integral boundary conditions (IBCs). An illustrative example is presented to demonstrate our main results.

Keywords

• Fractional differential equations
• Riemann–Liouville integral boundary conditions
• p-Laplacian operator
• Hyers–Ulam stability
• Banach’s fixed point theorem