Controllability of Intuitionistic Fuzzy Impulsive Neutral Integro-Differential Equations with Nonlocal Conditions

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DOI: https://doi.org/10.28924/2291-8639-23-2025-47
Published: Feb 21, 2025
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T. Gunasekar, J. Thiravidarani, Rania Saadeh, Ahmad Qazza, Junaid Ahmad, Ghassan Abufoudeh, Controllability of Intuitionistic Fuzzy Impulsive Neutral Integro-Differential Equations with Nonlocal Conditions, Int. J. Anal. Appl., 23 (2025), 47.

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T. Gunasekar, J. Thiravidarani, Rania Saadeh, Ahmad Qazza, Junaid Ahmad, Ghassan Abufoudeh

Abstract

This paper explores the controllability of nonlocal intuitionistic fuzzy integro-differential equations using intuitionistic fuzzy semigroups and the contraction mapping principle. By establishing a clear theoretical approach, we show that it is possible to achieve controllability under specific conditions. This study offers new methods and significant insights into the analysis of fuzzy systems. The results demonstrate that, given the right conditions, controlling systems with nonlocal features is feasible, addressing important challenges in this area.

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