Ahmed Alsaedi, Muhammed Aldhuain, Bashir Ahmad

A Study of a System of Nonlinear Caputo Fractional Differential Equations with New Integral Boundary Conditions

abstract:
We investigate the existence of solutions for a coupled system of nonlinear Caputo fractional differential equations equipped with a new class of integral boundary conditions. The existence of solutions for the given problem is shown with the aid of the Leray-Schauder nonlinear alternative, while the Banach fixed point theorem is applied to establish a uniqueness result for the given problem. An example is formulated to demonstrate the application of main results.

Mathematics Subject Classification: 34A08, 34B10, 34B15

Key words and phrases: Caputo fractional derivative, system, integral boundary conditions, existence, fixed point