Sumudu Decomposition Method for Solving Fuzzy Integro-Differential Equations

Sumudu Decomposition Method for Solving Fuzzy Integro-Differential Equations

Different results regarding different integro-differentials are usually not properly generalized, as they often do not satisfy some of the constraints. The field of fuzzy integro-differentials is very rich these days because of their different applications and functions in different physical phenome...

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Main Authors: Shin Min Kang, Zain Iqbal, Mustafa Habib, Waqas Nazeer
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Axioms
Subjects:
integro-differentials
Sumudu decomposition method
dynamical system
Online Access:https://www.mdpi.com/2075-1680/8/2/74
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spelling doaj-3eb0f1b16a104da4b3796126ccb3fe5f2020-11-25T01:58:52ZengMDPI AGAxioms2075-16802019-06-01827410.3390/axioms8020074axioms8020074Sumudu Decomposition Method for Solving Fuzzy Integro-Differential EquationsShin Min Kang0Zain Iqbal1Mustafa Habib2Waqas Nazeer3Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 52828, KoreaDepartment of Mathematics, University of Engineering and Technology, Lahore 54000, PakistanDepartment of Mathematics, University of Engineering and Technology, Lahore 54000, PakistanDivision of Science and Technology, University of Education, Lahore 54000, PakistanDifferent results regarding different integro-differentials are usually not properly generalized, as they often do not satisfy some of the constraints. The field of fuzzy integro-differentials is very rich these days because of their different applications and functions in different physical phenomena. Solutions of linear fuzzy Volterra integro-differential equations (FVIDEs) are more generalized and have better applications. In this report, the Sumudu decomposition method (SDM) was used to find the solution to some linear and nonlinear fuzzy integro-differential equations (FIDEs). Some examples are given to show the validity of the presented method.https://www.mdpi.com/2075-1680/8/2/74integro-differentialsSumudu decomposition methoddynamical system
collection DOAJ
language English
format Article
sources DOAJ
author Shin Min Kang
Zain Iqbal
Mustafa Habib
Waqas Nazeer
spellingShingle Shin Min Kang
Zain Iqbal
Mustafa Habib
Waqas Nazeer
Sumudu Decomposition Method for Solving Fuzzy Integro-Differential Equations
Axioms
integro-differentials
Sumudu decomposition method
dynamical system
author_facet Shin Min Kang
Zain Iqbal
Mustafa Habib
Waqas Nazeer
author_sort Shin Min Kang
title Sumudu Decomposition Method for Solving Fuzzy Integro-Differential Equations
title_short Sumudu Decomposition Method for Solving Fuzzy Integro-Differential Equations
title_full Sumudu Decomposition Method for Solving Fuzzy Integro-Differential Equations
title_fullStr Sumudu Decomposition Method for Solving Fuzzy Integro-Differential Equations
title_full_unstemmed Sumudu Decomposition Method for Solving Fuzzy Integro-Differential Equations
title_sort sumudu decomposition method for solving fuzzy integro-differential equations
publisher MDPI AG
series Axioms
issn 2075-1680
publishDate 2019-06-01
description Different results regarding different integro-differentials are usually not properly generalized, as they often do not satisfy some of the constraints. The field of fuzzy integro-differentials is very rich these days because of their different applications and functions in different physical phenomena. Solutions of linear fuzzy Volterra integro-differential equations (FVIDEs) are more generalized and have better applications. In this report, the Sumudu decomposition method (SDM) was used to find the solution to some linear and nonlinear fuzzy integro-differential equations (FIDEs). Some examples are given to show the validity of the presented method.
topic integro-differentials
Sumudu decomposition method
dynamical system
url https://www.mdpi.com/2075-1680/8/2/74
work_keys_str_mv AT shinminkang sumududecompositionmethodforsolvingfuzzyintegrodifferentialequations
AT zainiqbal sumududecompositionmethodforsolvingfuzzyintegrodifferentialequations
AT mustafahabib sumududecompositionmethodforsolvingfuzzyintegrodifferentialequations
AT waqasnazeer sumududecompositionmethodforsolvingfuzzyintegrodifferentialequations
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