Scipediacontent: Scipediacontent moved page Review 786021837638 to Arab Sharif 2025a

2025-08-14T09:24:19Z

Scipediacontent moved page Review 786021837638 to Arab Sharif 2025a

JSanchez: JSanchez moved page Draft Sanchez Pinedo 184943861 to Review 786021837638

2025-08-14T09:01:29Z

JSanchez moved page Draft Sanchez Pinedo 184943861 to Review 786021837638

JSanchez: Created page with " == Abstract ==
This paper aims to examine the solvability, uniqueness, and stability of a class of nonlinear implicit fractional Volterra-Fredholm integrodifferential equ..."

2025-08-14T09:01:26Z

Created page with " == Abstract == <p>This paper aims to examine the solvability, uniqueness, and stability of a class of nonlinear implicit fractional Volterra-Fredholm integrodifferential equ..."

New page

== Abstract ==

<p>This paper aims to examine the solvability, uniqueness, and stability of a class of nonlinear implicit fractional Volterra-Fredholm integrodifferential equations involving the Caputo-Katugampola fractional derivative. The main objective is to establish rigorous conditions under which such equations admit unique solutions and to analyze their stability behavior under perturbations. Specifically, we apply Banach’s fixed-point theorem and a suitable form of the Gronwall inequality to derive sufficient criteria for existence and uniqueness. Furthermore, we investigate the stability of solutions in the sense of Ulam-Hyers and Ulam-Hyers-Rassias, providing a comprehensive understanding of the solution behavior under small deviations. To validate the theoretical results and highlight the applicability of the developed framework, a concrete illustrative example is included. This study contributes to the ongoing development of fractional calculus by deepening the theoretical understanding of fractional integrodifferential equations and expanding their potential for modeling complex dynamical systems in various applied sciences.OPEN ACCESS Received: 02/05/2025 Accepted: 19/06/2025 Published: 15/08/2025</p>

== Document ==
<pdf>Media:Draft_Sanchez Pinedo_184943861-3749-document.pdf</pdf>

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Arab Sharif 2025a - Revision history

Scipediacontent: Scipediacontent moved page Review 786021837638 to Arab Sharif 2025a

JSanchez: JSanchez moved page Draft Sanchez Pinedo 184943861 to Review 786021837638

JSanchez: Created page with " == Abstract == This paper aims to examine the solvability, uniqueness, and stability of a class of nonlinear implicit fractional Volterra-Fredholm integrodifferential equ..."

JSanchez: Created page with " == Abstract ==
This paper aims to examine the solvability, uniqueness, and stability of a class of nonlinear implicit fractional Volterra-Fredholm integrodifferential equ..."