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

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.