TY - JOUR AU - Aljoudi, Shorog PY - 2023 TI - Existence and uniqueness results for coupled system of fractional differential equations with exponential kernel derivatives JO - AIMS Mathematics SP - 590 EP - 606 VL - 8 IS - 1 AB - In the framework of Caputo–Fabrizio derivatives, we study a new coupled system of fractional differential equations of higher orders supplemented with coupled nonlocal boundary conditions. The existence and uniqueness results of the solutions are proved. We consider the classical fixed–point theories due to Banach and Krasnoselskii for the main results. An example illustrating the main results is introduced. UR - https://doi.org/10.3934/math.2023027 DO - 10.3934/math.2023027