Solution of Fuzzy Differential Equations Using Fuzzy Sumudu Transforms

Abstract

The uncertain nonlinear systems can be modeled with fuzzy differential equations (FDEs) and the solutions of these equations are applied to analyze many engineering problems. However, it is very difficult to obtain solutions of FDEs. In this paper, the solutions of FDEs are approximated by utilizing the fuzzy Sumudu transform (FST) method. Significant theorems are suggested in order to explain the properties of FST. The proposed method is validated with three real examples.

Metadata

Item Type:	Article
Authors/Creators:	Jafari, R https://orcid.org/0000-0001-7298-2363 Razvarz, S
Copyright, Publisher and Additional Information:	© 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
Keywords:	uncertain nonlinear system; modeling; fuzzy Sumudu transform
Dates:	Accepted: 16 January 2018 Published (online): 17 January 2018 Published: March 2018
Institution:	The University of Leeds
Academic Units:	The University of Leeds > Faculty of Arts, Humanities and Cultures (Leeds) > School of Design (Leeds)
Depositing User:	Symplectic Publications
Date Deposited:	27 Jan 2020 11:56
Last Modified:	27 Jan 2020 11:56
Status:	Published
Publisher:	MDPI
Identification Number:	10.3390/mca23010005
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:156069

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Solution of Fuzzy Differential Equations Using Fuzzy Sumudu Transforms

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