Controllability results for multi-order impulsive neutral fuzzy functional integro-differential equations with finite delay
Tharmalingam GunasekarDepartment of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai, Tamil Nadu, IndiaJothivelu ThiravidaraniDepartment of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai, Tamil Nadu, IndiaPrabakaran RaghavendranDepartment of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai, Tamil Nadu, IndiaB. N. HanumagowdaSchool of Applied Sciences, REVA University, Bangalore, Karnataka, IndiaJagadish V. TawadeDepartment of Mathematics, Vishwakarma University, Pune, Maharashtra IndiaFarrukh YuldashevDepartment of Informatics and Its Teaching Methods, Tashkent State Pedagogical University, Tashkent, UzbekistanManish GuptaDivision of Research and Development, Lovely Professional University, Phagwara, IndiaM. Ijaz KhanDepartment of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, Al-Khobar, Saudi Arabia
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This manuscript focuses on examining the controllability of fuzzy mild solutions for nonlocal impulsive neutral functional integro-differential equations of the first and second order, including systems with finite delay. Furthermore, it explores the characteristics of fuzzy set-valued mappings over real variables, emphasizing important features such upper semi-continuity, convexity, normalcy, and compact support. The key conclusions are obtained by applying the Banach fixed-point theorem. The study makes extensive use of fundamental ideas from functional analysis, fuzzy set theory, and the Hausdorff metric. To demonstrate the practical application of the proposed method, a detailed example is provided.
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