On the Stability of Fractional Integro‐Differential Equations of <i>Ψ</i> ‐Hilfer Type
In this article, we investigate some properties such as the existence, uniqueness, and Ulam–Hyers–Rassias stability for the fractional Volterra–Fredholm integrodifferential equations of Ψ ‐Hilfer type with boundary conditions. We prove the desired results by using the Banach fixed point theorem and the Schauder fixed point theorem. Certain inequalities are also used to obtain estimates for solutions to the given problem, which is also discussed. We provide an example to illustrate our abstract results. MSC2020 Classification: 26A33, 26D10, 47H10
Authors
- Ram G. Metkar
- Sahar M. A. Maqbol (ORCID: https://orcid.org/0000-0002-5329-2583)
- Malayin A. Mohammed
Institutions
- Indira Gandhi Medical College (IN)
- Hodeidah University (YE)
- Taiz University (YE)
- SRM University (IN)
Publication Details
- Journal
- Journal of Function Spaces
- Published
- 2026-01-01
- DOI
- https://doi.org/10.1155/jofs/9619583
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00