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A Study of Fuzzy Methods for Solving System of Fuzzy Differential Equations Publisher



Keshavarz M1 ; Allahviranloo T1, 2 ; Abbasbandy S3 ; Modarressi MH4
Authors
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Authors Affiliations
  1. 1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
  2. 2. Department of Mathematics, Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey
  3. 3. Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, 34149-16818, Iran
  4. 4. Department of Medical Genetics and Molecular Medicine, Tehran University of Medical Sciences, Tehran, Iran

Source: New Mathematics and Natural Computation Published:2021


Abstract

This paper is devoted to obtain an analytical solution for first-order fuzzy differential equations and system of fuzzy differential equations by different methods by considering the type of generalized Hukuhara differentiability of a solution and without embedding them to crisp equations. Moreover, the fuzzy solutions of a second-order fuzzy differential equation by considering the type of differentiability are obtained using reduction to a system of fuzzy differential equations. The effectiveness and efficiency of the approaches are illustrated by solving several practical examples such as Newton's law of cooling, the mathematical models for the distribution of a drug in the human body and the fuzzy forced harmonic oscillator problem. © 2021 World Scientific Publishing Company.
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