Banach Fixed‐Point Theorem for Fuzzy Nonlinear Neutral Integrodifferential Equations in <i>n</i> ‐Dimensional Spaces

The Banach fixed‐point theorem, along with a fuzzy number characterized by normality, convexity, upper semicontinuity, and a compactly supported interval to look into the possibility of a solution equation to the fuzzy nonlinear neutral integrodifferential equation of the Sobolev‐type within a fuzzy vector space of n dimensions, is employed in this research. At the end, to demonstrate the practical application of the findings, an example is also presented.

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Publication Details

Journal
Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.1155/jom/6542401
Primary Topic
Fuzzy Systems and Optimization
Type
article
Field-Weighted Citation Impact
0.00

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article

Banach Fixed‐Point Theorem for Fuzzy Nonlinear Neutral Integrodifferential Equations in n ‐Dimensional Spaces

K. Karthik, Prasantha Bharathi Dhandapani, Parvathy O. Chandrasekaran, M. Tamilarasi et al.
Journal of Mathematics
Fuzzy Systems and Optimization
article

Banach Fixed‐Point Theorem for Fuzzy Nonlinear Neutral Integrodifferential Equations in n ‐Dimensional Spaces

K. Karthik, Prasantha Bharathi Dhandapani, Parvathy O. Chandrasekaran, M. Tamilarasi, Taha Radwan, M. Nagarajan
article en

Abstract

The Banach fixed‐point theorem, along with a fuzzy number characterized by normality, convexity, upper semicontinuity, and a compactly supported interval to look into the possibility of a solution equation to the fuzzy nonlinear neutral integrodifferential equation of the Sobolev‐type within a fuzzy vector space of n dimensions, is employed in this research. At the end, to demonstrate the practical application of the findings, an example is also presented.

Journal of MathematicsVol. 2025(1)
Government of Tamil Nadu (IN), Qassim University (SA), Orthopaedic Research Group (IN), KPR Institute of Engineering and Technology (IN)
Qassim University
Openalex Percentile: Top 88%
Fuzzy Systems and Optimization
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