A New Class of Coupled Systems of Nonlinear Hyperbolic Partial Fractional Differential Equations in Generalized Banach Spaces Involving the ψ–Caputo Fractional Derivative

The current study is devoted to investigating the existence and uniqueness of solutions for a new class symmetrically coupled system nonlinear hyperbolic partial-fractional differential equations in generalized Banach spaces sense ψ–Caputo partial fractional derivative. Our approach based on Krasnoselskii-type fixed point theorem Perov’s together with Bielecki norm, while Urs’s was used prove Ulam–Hyers stability our system. Finally, some examples are provided order illustrate theoretical results.