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.
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