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An Analytical Study for the System of Nonlinear Fuzzy Differential Equations with a Consequent Application

Year: 2025

Type: article

Abstract: Realistic scenarios typically involve several interacting dependent variables, leading to nonlinearity in mathematical models. Nonlinear differential equations are a crucial mathematical phenomenon for describing real-world problems. On the other hand, fuzzy set theory is a valuable tool for modelling the uncertainty present in a system. So, nonlinear mathematical models under uncertainty need an explanatory study on a system of nonlinear fuzzy differential equations. In this paper, we analyse nonlinear fuzzy differential equations with possible applications. This paper advances the existing literature by introducing a definition of a fuzzy sequence and developing the existence and uniqueness theory for fuzzy solutions of nonlinear differential equations using the fixed-point theorem. The component-wise analysis of a fuzzy nonlinear system has been conducted. Furthermore, the analysed theory precedes an aptly fitted application of a fuzzy nonlinear dynamical system using a numerical scheme.

Source: DOAJ (DOAJ: Directory of Open Access Journals)

DOI: 10.71602/tfss.2026.1207662

Authors: Singh, Payal, Gazi, Kamal Hossain, Rabih, Mohammed, Rangarajan, K., Mondal, Sankar Prasad

Institutions: Parul University, Maulana Abul Kalam Azad University of Technology, West Bengal, Qassim University, Saveetha University

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W7105549844

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