Existence results for a hybrid system of mixed differential equations with sequential fractional derivatives

In this paper, we are interested in studying a hybrid system of sequential type by applying the Caputo and Hadamard fractional derivatives, using the fixed point principle, we establish new result for the existence and uniqueness of solutions. Another result is established by using Schaefer's fixed point theorem. At the end, an example is given. 2020 Mathematics Subject Classification. 30C45, 39B72, 39B85.