Coupled system of $\psi$--Caputo fractional differential equations without and with delay in generalized Banach spaces

The main objective of this research manuscript is to establish various existence and uniqueness results as well the Ulam--Hyers stability solutions a Coupled system $\psi$--Caputo fractional differential equations without with delay in generalized Banach spaces. Existence are obtained by applying Krasnoselskii's type fixed point theorem, Schauder's theorem spaces, Perov's combined Bielecki norm. While Urs's approach used analyze for proposed problem. Finally, Some examples given illustrate results.