Stability of hybrid differential equations in the sense of Hyers-Ulam using Gronwall lemma
In this paper, for the first time, we use Gronwall?s lemma to show the Hyers-Ulam and Hyers-Ulam-Rassias stability of hybrid differential equations, offering a fresh and rigorous framework for studying these complex structures. Two examples are provided to illustrate the correctness of our method, and graphical illustrations are used to graphically represent the results.
Authors
- Dhaou Lassoued (ORCID: https://orcid.org/0000-0001-7222-7931)
- Rahim Shah (ORCID: https://orcid.org/0009-0001-9044-5470)
- Muhammad Saifullah (ORCID: https://orcid.org/0000-0003-2983-1628)
- Ayesha Zaheer Abbasi
- S. UMAR
- Natasha Irshad (ORCID: https://orcid.org/0009-0008-8166-6520)
- Fatima Gul
Institutions
- Murang'a University of Technology (KE)
- University of Gabès (TN)
Publication Details
- Journal
- Filomat
- Published
- 2025-01-01
- DOI
- https://doi.org/10.2298/fil2504407s
- Citations
- 8
- Primary Topic
- Functional Equations Stability Results
- Type
- article
- Field-Weighted Citation Impact
- 29.82