On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative

The existence of solutions for a coupled system of time-fractional differential equations including continuous functions and the Caputo-Fabrizio fractional derivative is examined. After that we investigated a coupled system of time-fractional differential inclusions including compact- and convex-valued L 1 -Caratheodory multifunctions and the Caputo-Fabrizio fractional derivative.