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    A novel numerical method for solving the Caputo-Fabrizio fractional differential equation
    (Amer Inst Mathematical Sciences-Aims, 2023) Arshad, Sadia; Saleem, Iram; Akgul, Ali; Huang, Jianfei; Tang, Yifa; Eldin, Sayed M.
    In this paper, a unique and novel numerical approach-the fractional-order Caputo-Fabrizio derivative in the Caputo sense-is developed for the solution of fractional differential equations with a non-singular kernel. After converting the differential equation into its corresponding fractional integral equation, we used Simpson's 1/3 rule to estimate the fractional integral equation. A thorough study is then conducted to determine the convergence and stability of the suggested method. We undertake numerical experiments to corroborate our theoretical findings.