Some new results on controllability for nonlocal impulsive fractional Volterra-Fredholm model

Volume 40, Issue 2, pp 196--208 https://dx.doi.org/10.22436/jmcs.040.02.04
Publication Date: July 03, 2025 Submission Date: April 19, 2025 Revision Date: May 02, 2025 Accteptance Date: May 27, 2025

Authors

R. B. Abdulmaged - Department of Mathematics, College of Education, Mustansiriyah University, Baghdad-10052, Iraq. A. J. Abdulqader - Department of Mathematics, College of Education, Mustansiriyah University, Baghdad-10052, Iraq.


Abstract

In this article, we investigate suitable conditions for the existence and uniqueness results of a class of fractional Caputo Volterra-Fredholm integro-differential equations with nonlocal conditions. The findings are based on the Kuratowski measure of non-compactness and Gronwall's inequality. Additionally, we determine the controllability of the given problem using the topological degree approach. We provide an example to support the approach.


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ISRP Style

R. B. Abdulmaged, A. J. Abdulqader, Some new results on controllability for nonlocal impulsive fractional Volterra-Fredholm model, Journal of Mathematics and Computer Science, 40 (2026), no. 2, 196--208

AMA Style

Abdulmaged R. B., Abdulqader A. J., Some new results on controllability for nonlocal impulsive fractional Volterra-Fredholm model. J Math Comput SCI-JM. (2026); 40(2):196--208

Chicago/Turabian Style

Abdulmaged, R. B., Abdulqader, A. J.. "Some new results on controllability for nonlocal impulsive fractional Volterra-Fredholm model." Journal of Mathematics and Computer Science, 40, no. 2 (2026): 196--208


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