Solving differential equations with Z-numbers by utilizing fuzzy Sumudu transform

Raheleh Jafari, Sina Razvarz, Alexander Gegov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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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. Here, the uncertainties are in the sense of Z-numbers. Important theorems are laid down to illustrate the properties of FST. The theoretical analysis and simulation results show that this new technique is effective to estimate the solutions of FDEs.
Original languageEnglish
Title of host publicationIntelligent Systems and Applications
Subtitle of host publicationProceedings of the 2018 Intelligent Systems Conference (IntelliSys) Volume 2
EditorsKohei Arai, Supriya Kapoor, Rahul Bhatia
PublisherSpringer
Pages1125-1138
Number of pages6
ISBN (Electronic)978-3-030-01057-7
ISBN (Print)978-3-030-01056-0
DOIs
Publication statusPublished - Jan 2019
EventIntelliSys 2018 - London, United Kingdom
Duration: 6 Sep 20187 Sep 2018

Publication series

NameAdvances in Intelligent Systems and Computing
PublisherSpringer
Volume868
ISSN (Print)2194-5357
ISSN (Electronic)2194-5365

Conference

ConferenceIntelliSys 2018
CountryUnited Kingdom
CityLondon
Period6/09/187/09/18

Keywords

  • fuzzy Sumudu transform
  • fuzzy differential equations
  • z-numbers

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