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

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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
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article

On the Stability of Fractional Integro‐Differential Equations of Ψ ‐Hilfer Type

Ram G. Metkar, Sahar M. A. Maqbol, Malayin A. Mohammed
Journal of Function Spaces
Nonlinear Differential Equations Analysis
article

On the Stability of Fractional Integro‐Differential Equations of Ψ ‐Hilfer Type

Ram G. Metkar, Sahar M. A. Maqbol, Malayin A. Mohammed
article en

Abstract

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

Journal of Function SpacesVol. 2026(1)
Indira Gandhi Medical College (IN), Hodeidah University (YE), Taiz University (YE), SRM University (IN)
Reduced inequalities
Openalex Percentile: Top 7%
Nonlinear Differential Equations Analysis
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On the Stability of Fractional Integro‐Differential Equations of <i>Ψ</i> ‐Hilfer Type — Ram G. Metkar, Sahar M. A. Maqbol, et al. · Journal of Function Spaces (2026) | TGRS Research Map | TGRS