On a System of Sequential Caputo Fractional Differential Equations with Nonlocal Boundary Conditions

Abstract

We obtain existence and uniqueness results for the solutions of a system of Caputo fractional differential equations which contain sequential derivatives, integral terms, and two positive parameters, supplemented with general coupled Riemann–Stieltjes integral boundary conditions. The proofs of our results are based on the Banach fixed point theorem and the Leray–Schauder alternative.

Keywords

• Caputo fractional differential equations
• integral boundary conditions
• existence of solutions
• uniqueness of solutions