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...
| Published in: | Entropy |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2015-07-01
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| Online Access: | http://www.mdpi.com/1099-4300/17/7/4582 |
| _version_ | 1852766776676319232 |
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| author | Norazrizal Aswad Abdul Rahman Muhammad Zaini Ahmad |
| author_facet | Norazrizal Aswad Abdul Rahman Muhammad Zaini Ahmad |
| author_sort | Norazrizal Aswad Abdul Rahman |
| collection | DOAJ |
| container_title | Entropy |
| 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. |
| format | Article |
| id | doaj-art-917c725c856446c5bbe1e4a081c9186a |
| institution | Directory of Open Access Journals |
| issn | 1099-4300 |
| language | English |
| publishDate | 2015-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| spelling | doaj-art-917c725c856446c5bbe1e4a081c9186a2025-08-19T20:53:28ZengMDPI 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 |
| spellingShingle | Norazrizal Aswad Abdul Rahman Muhammad Zaini Ahmad Applications of the Fuzzy Sumudu Transform for the Solution of First Order Fuzzy Differential Equations fuzzy number fuzzy Sumudu transform generalized differentiability fuzzy differential equation Sumudu transform integral transform |
| title | 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_short | 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 |
| 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 |
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