A Mathematical Theoretical Study of a Coupled Fully Hybrid (k, Φ)-Fractional Order System of BVPs in Generalized Banach Spaces

In this paper, we study a coupled fully hybrid system of (k,Φ)–Hilfer fractional differential equations equipped with non-symmetric (k,Φ)–Riemann-Liouville (RL) integral conditions. To prove the existence and uniqueness results, use Krasnoselskii Perov fixed-point theorems Lipschitzian matrix in context generalized Banach space (GBS). Moreover, Ulam–Hyers (UH) stability solutions is discussed by using Urs’s method. Finally, an illustrated example given to confirm validity our results.