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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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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1724967553390870528 |