Controllability of Intuitionistic Fuzzy Neutral Integro-Differential Equations with Nonlocal Conditions
This paper investigates the controllability of nonlocal intuitionistic fuzzy neutral integro-differential equations using intuitionistic fuzzy semigroups and the contraction mapping principle. By formulating a rigorous theoretical framework, we derive sufficient conditions for ensuring controllabili...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-12-01
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| Series: | Systems and Soft Computing |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S277294192500047X |
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| author | T. Gunasekar K. Nithyanandhan P. Raghavendran B. N Hanumagowda Jagadish V Tawade Nashwan Adnan OTHMAN Manish Gupta M. Ijaz Khan |
| author_facet | T. Gunasekar K. Nithyanandhan P. Raghavendran B. N Hanumagowda Jagadish V Tawade Nashwan Adnan OTHMAN Manish Gupta M. Ijaz Khan |
| author_sort | T. Gunasekar |
| collection | DOAJ |
| description | This paper investigates the controllability of nonlocal intuitionistic fuzzy neutral integro-differential equations using intuitionistic fuzzy semigroups and the contraction mapping principle. By formulating a rigorous theoretical framework, we derive sufficient conditions for ensuring controllability of these systems under nonlocal constraints. The study introduces a novel approach to handling uncertainties inherent in fuzzy systems, demonstrating that intuitionistic fuzzy control functions can effectively manage these complexities. Furthermore, the results provide a foundation for addressing significant challenges in controlling systems with nonlocal features, offering new perspectives for both theoretical advancements and practical implementations. This work paves the way for future research in applying intuitionistic fuzzy control to diverse scientific and engineering problems. |
| format | Article |
| id | doaj-art-0ea8a1c994c24d24b2c07481a3e1d423 |
| institution | DOAJ |
| issn | 2772-9419 |
| language | English |
| publishDate | 2025-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Systems and Soft Computing |
| spelling | doaj-art-0ea8a1c994c24d24b2c07481a3e1d4232025-08-20T03:08:06ZengElsevierSystems and Soft Computing2772-94192025-12-01720022910.1016/j.sasc.2025.200229Controllability of Intuitionistic Fuzzy Neutral Integro-Differential Equations with Nonlocal ConditionsT. Gunasekar0K. Nithyanandhan1P. Raghavendran2B. N Hanumagowda3Jagadish V Tawade4Nashwan Adnan OTHMAN5Manish Gupta6M. Ijaz Khan7Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai, Tamil Nadu, IndiaDepartment of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai, Tamil Nadu, IndiaDepartment of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai, Tamil Nadu, IndiaDepartment of Mathematics, REVA University, Bangalore, Karnataka, IndiaDepartment of Mathematics, Vishwakarma University, Pune, Maharashtra, IndiaDepartment of Computer Engineering, College of Engineering, Knowledge University, Erbil, 44001, Iraq; Department of Computer Engineering, Al-Kitab University, Altun, Kupri, IraqDivision of Research and Development, Lovely Professional University, Phagwara, IndiaCorresponding autnors.; Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai, Tamil Nadu, India; Department of Mathematics, REVA University, Bangalore, Karnataka, India; Department of Mathematics, Vishwakarma University, Pune, Maharashtra, India; Department of Computer Engineering, College of Engineering, Knowledge University, Erbil, 44001, Iraq; Department of Computer Engineering, Al-Kitab University, Altun, Kupri, Iraq; Division of Research and Development, Lovely Professional University, Phagwara, India; Department of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, Al-Khobar, Saudi ArabiaThis paper investigates the controllability of nonlocal intuitionistic fuzzy neutral integro-differential equations using intuitionistic fuzzy semigroups and the contraction mapping principle. By formulating a rigorous theoretical framework, we derive sufficient conditions for ensuring controllability of these systems under nonlocal constraints. The study introduces a novel approach to handling uncertainties inherent in fuzzy systems, demonstrating that intuitionistic fuzzy control functions can effectively manage these complexities. Furthermore, the results provide a foundation for addressing significant challenges in controlling systems with nonlocal features, offering new perspectives for both theoretical advancements and practical implementations. This work paves the way for future research in applying intuitionistic fuzzy control to diverse scientific and engineering problems.http://www.sciencedirect.com/science/article/pii/S277294192500047XIntuitionistic fuzzy Integro-Differential EquationsIntuitionistic fuzzy SolutionIntuitionistic fuzzy SemigroupIntuitionistic fuzzy NumberMean-Square Analysis |
| spellingShingle | T. Gunasekar K. Nithyanandhan P. Raghavendran B. N Hanumagowda Jagadish V Tawade Nashwan Adnan OTHMAN Manish Gupta M. Ijaz Khan Controllability of Intuitionistic Fuzzy Neutral Integro-Differential Equations with Nonlocal Conditions Systems and Soft Computing Intuitionistic fuzzy Integro-Differential Equations Intuitionistic fuzzy Solution Intuitionistic fuzzy Semigroup Intuitionistic fuzzy Number Mean-Square Analysis |
| title | Controllability of Intuitionistic Fuzzy Neutral Integro-Differential Equations with Nonlocal Conditions |
| title_full | Controllability of Intuitionistic Fuzzy Neutral Integro-Differential Equations with Nonlocal Conditions |
| title_fullStr | Controllability of Intuitionistic Fuzzy Neutral Integro-Differential Equations with Nonlocal Conditions |
| title_full_unstemmed | Controllability of Intuitionistic Fuzzy Neutral Integro-Differential Equations with Nonlocal Conditions |
| title_short | Controllability of Intuitionistic Fuzzy Neutral Integro-Differential Equations with Nonlocal Conditions |
| title_sort | controllability of intuitionistic fuzzy neutral integro differential equations with nonlocal conditions |
| topic | Intuitionistic fuzzy Integro-Differential Equations Intuitionistic fuzzy Solution Intuitionistic fuzzy Semigroup Intuitionistic fuzzy Number Mean-Square Analysis |
| url | http://www.sciencedirect.com/science/article/pii/S277294192500047X |
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