On study the existence and uniqueness of the solution of the Caputo–Fabrizio coupled system of nonlocal fractional q‐integro differential equations

Abstract

In this paper, we will use the definitions of the Caputo–Fabrizio fractional derivative and the Riemann–Liouville fractional q‐integral to look into the existence, uniqueness, and continuous dependence of solutions for a coupled system of fractional q‐integro‐differential equations. We provide an overview of the finite‐trapezoidal method. Finally, we present some numerical examples to demonstrate the method's effectiveness.