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This research aims to investigate the stability and existence of solutions for fractional integrodifferential equations of Ψ-Hilfer type.

March 27, 2026Open Access

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

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This research aims to investigate the stability and existence of solutions for fractional integrodifferential equations of Ψ-Hilfer type.
Utilized Banach fixed point theorem for proof of existence and uniqueness.
Applied Schauder fixed point theorem to establish stability results.
Used inequalities to derive estimates for solutions.
Demonstrated existence and uniqueness of solutions for the given equations.
Established Ulam–Hyers–Rassias stability of the fractional integrodifferential equations.
Provided example illustrating the theoretical findings.

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

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

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