Existence and Ulam stability results of a coupled system for terminal value problems involving ψ-Hilfer fractional operator
By Mohammed S Abdo, Kamal Shah, S. K. Panchal, Hanan A. Wahash. Advances in Differential Equations, 2020
54 citations recorded by the source corpus.
The work reported in this paper deals with the study of a coupled system for fractional terminal value problems involving ψ-Hilfer fractional derivative. The existence and uniqueness theorems to the problem at hand are investigated. Besides, the stability analysis in the Ulam–Hyers sense of a given system is studied. Our discussion is based upon known fixed point theorems of Banach and Krasnoselskii. Examples are also provided to demonstrate the applicability of our results.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/a166fa8ed26214203c6e81adab21bdd5890d0b68
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Modeling and Simulation
Citations in the corpus
- On the Nonlinear $\Psi$-Hilfer Hybrid Fractional Differential Equations (2020, background): “Investigation of initial and boundary value problems for Ψ-Hilfer about existence, uniqueness, data dependence and Ulam-Hyers stabilities may be found in [24, 25, 26, 27, 28, 29, 30, 31, 32, 33].”