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On Controllability of Solution for Nonlinear Neutral Fuzzy Integro-Differential Equations |
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KeyWord:Nonlinear neutral integro-differential equations, controllability, fuzzy solution, impulsive functional, nonlocal condition, fixed point |
Author Name | Affiliation | Najat H. M. Qumami | School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded-431606, India Department of Mathematics, Hodeidah University, P.O. 3114, Al-Hodeidah, Yemen | R. S. Jain | Department of Mathematics, Hodeidah University, P.O. 3114, Al-Hodeidah, Yemen | B. Surendranath Reddy | Department of Mathematics, Hodeidah University, P.O. 3114, Al-Hodeidah, Yemen |
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Abstract: |
This paper delves into an examination of the existence, uniqueness and controllability results concerning impulsive functional fuzzy nonlinear neutral integro-differential equations with non-local conditions. Additionally, we explore the fuzzy solution within the context of normal, convex, upper semicontinuous and compactly supported interval fuzzy numbers. Our findings are derived through the application of the Banach fixed point theorem. Also, we illustrate the result with an example. |
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