Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations

In this paper, we study the classical Sumudu transform in fuzzy environment, referred to as the fuzzy Sumudu transform (FST). We also propose some results on the properties of the FST, such as linearity, preserving, fuzzy derivative, shifting and convolution theorem. In order to show the capability...

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Main Authors:	Norazrizal Aswad Abdul Rahman, Muhammad Zaini Ahmad
Format:	Article
Language:	English
Published:	MDPI AG 2015-07-01
Series:	Entropy
Subjects:	fuzzy number fuzzy Sumudu transform generalized differentiability fuzzy differential equation Sumudu transform integral transform
Online Access:	http://www.mdpi.com/1099-4300/17/7/4582

id	doaj-917c725c856446c5bbe1e4a081c9186a
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spelling	doaj-917c725c856446c5bbe1e4a081c9186a2020-11-24T20:47:25ZengMDPI AGEntropy1099-43002015-07-011774582460110.3390/e17074582e17074582Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential EquationsNorazrizal Aswad Abdul Rahman0Muhammad Zaini Ahmad1Institute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Main Campus, 02600 Arau, Perlis, MalaysiaInstitute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Main Campus, 02600 Arau, Perlis, MalaysiaIn this paper, we study the classical Sumudu transform in fuzzy environment, referred to as the fuzzy Sumudu transform (FST). We also propose some results on the properties of the FST, such as linearity, preserving, fuzzy derivative, shifting and convolution theorem. In order to show the capability of the FST, we provide a detailed procedure to solve fuzzy differential equations (FDEs). A numerical example is provided to illustrate the usage of the FST.http://www.mdpi.com/1099-4300/17/7/4582fuzzy numberfuzzy Sumudu transformgeneralized differentiabilityfuzzy differential equationSumudu transformintegral transform
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Norazrizal Aswad Abdul Rahman Muhammad Zaini Ahmad
spellingShingle	Norazrizal Aswad Abdul Rahman Muhammad Zaini Ahmad Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations Entropy fuzzy number fuzzy Sumudu transform generalized differentiability fuzzy differential equation Sumudu transform integral transform
author_facet	Norazrizal Aswad Abdul Rahman Muhammad Zaini Ahmad
author_sort	Norazrizal Aswad Abdul Rahman
title	Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations
title_short	Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations
title_full	Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations
title_fullStr	Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations
title_full_unstemmed	Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations
title_sort	applications of the fuzzy sumudu transform for the solution of first order fuzzy differential equations
publisher	MDPI AG
series	Entropy
issn	1099-4300
publishDate	2015-07-01
description	In this paper, we study the classical Sumudu transform in fuzzy environment, referred to as the fuzzy Sumudu transform (FST). We also propose some results on the properties of the FST, such as linearity, preserving, fuzzy derivative, shifting and convolution theorem. In order to show the capability of the FST, we provide a detailed procedure to solve fuzzy differential equations (FDEs). A numerical example is provided to illustrate the usage of the FST.
topic	fuzzy number fuzzy Sumudu transform generalized differentiability fuzzy differential equation Sumudu transform integral transform
url	http://www.mdpi.com/1099-4300/17/7/4582
work_keys_str_mv	AT norazrizalaswadabdulrahman applicationsofthefuzzysumudutransformforthesolutionoffirstorderfuzzydifferentialequations AT muhammadzainiahmad applicationsofthefuzzysumudutransformforthesolutionoffirstorderfuzzydifferentialequations
_version_	1716810093142474752

Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations

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