Adjimi, Naas and Boutiara, Abdellatif and Samei, Mohammad Esmael and Etemad, Sina and Rezapour, Shahram and Kaabar, Mohammed K. A. (2023) On solutions of a hybrid generalized Caputo-type problem via the noncompactness measure in the generalized version of Darbo's criterion. Journal of Inequalities and Applications, 2023 (1). ISSN 10255834, DOI https://doi.org/10.1186/s13660-023-02919-z.
Full text not available from this repository.Abstract
In this manuscript, we study the existence and uniqueness of solutions for a new neutral hybrid nonlinear differential equation in the context of a fractional generalized operator in the sense of psi-Caputo. To emphasize the novelty of the manuscript, a pure technique of the noncompactness measures is applied to a hybrid system based on the notion of the modulus of continuity in Darbo's criterion that covers the existing results of other works published before. The Ulam-Hyers and generalized Ulam-Hyers stabilities are explored for the given neutral nonhybrid nonlinear problem. An application is prepared in the framework of an example to ensure the validity of theorems for different cases.
| Item Type: | Article |
|---|---|
| Funders: | Azarbaijan Shahid Madani University |
| Uncontrolled Keywords: | Hybrid generalized problem; Measure of noncompactness; Darbo's criterion; Existence |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms Zaharah Ramly |
| Date Deposited: | 10 Nov 2024 05:47 |
| Last Modified: | 10 Nov 2024 05:47 |
| URI: | http://eprints.um.edu.my/id/eprint/38571 |
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