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Volume 6, Issue 4
On Controllability of Solution for Nonlinear Neutral Fuzzy Integro-Differential Equations

Najat H. M. Qumami, R. S. Jain & B. Surendranath Reddy

DOI: 10.12150/jnma.2024.1122

J. Nonl. Mod. Anal., 6 (2024), pp. 1122-1138.

Published online: 2024-12

[An open-access article; the PDF is free to any online user.]

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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 semi-continuous 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.

  • Keywords

Nonlinear neutral integro-differential equations, controllability, fuzzy solution, impulsive functional, nonlocal condition, fixed point.

  • AMS Subject Headings

93B05, 03E72, 45J05, 34K40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-6-1122, author = {Qumami , Najat H. M.Jain , R. S. and Reddy , B. Surendranath}, title = {On Controllability of Solution for Nonlinear Neutral Fuzzy Integro-Differential Equations}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2024}, volume = {6}, number = {4}, pages = {1122--1138}, 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 semi-continuous 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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.1122}, url = {http://global-sci.org/intro/article_detail/jnma/23675.html} }
TY - JOUR T1 - On Controllability of Solution for Nonlinear Neutral Fuzzy Integro-Differential Equations AU - Qumami , Najat H. M. AU - Jain , R. S. AU - Reddy , B. Surendranath JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 1122 EP - 1138 PY - 2024 DA - 2024/12 SN - 6 DO - http://doi.org/10.12150/jnma.2024.1122 UR - https://global-sci.org/intro/article_detail/jnma/23675.html KW - Nonlinear neutral integro-differential equations, controllability, fuzzy solution, impulsive functional, nonlocal condition, fixed point. AB -

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 semi-continuous 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.

Qumami , Najat H. M.Jain , R. S. and Reddy , B. Surendranath. (2024). On Controllability of Solution for Nonlinear Neutral Fuzzy Integro-Differential Equations. Journal of Nonlinear Modeling and Analysis. 6 (4). 1122-1138. doi:10.12150/jnma.2024.1122
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