On a coupled system of fractional differential equations with nonlocal non-separated boundary conditions

Abstract

Abstract We solve a coupled system of nonlinear fractional differential equations equipped with coupled fractional nonlocal non-separated boundary conditions by using the Banach contraction principle and the Leray–Schauder fixed point theorem. Finally, we give examples to demonstrate our results.

Keywords

• Caputo fractional derivative
• Nonlocal
• Non-separated boundary conditions
• Existence of solution