On the solution of fuzzy differential equations by Fuzzy Sumudu Transform
In this paper, Sumudu transform is advanced and designed for the solution of linear differential models with uncertainty. For this purpose, Sumudu transform is coupled with fuzzy theory and all its fundamental properties are formalized in fuzzy sense. At last, to demonstrate the accuracy o...
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| Format: | Article |
| Language: | English |
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De Gruyter
2015-03-01
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| Series: | Nonlinear Engineering |
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| Online Access: | https://doi.org/10.1515/nleng-2015-0003 |
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doaj-811c537a5f974ce5963f0a49621d1c062021-09-06T19:21:06ZengDe GruyterNonlinear Engineering2192-80102192-80292015-03-0141496010.1515/nleng-2015-0003On the solution of fuzzy differential equations by Fuzzy Sumudu TransformKhan Najeeb Alam0Razzaq Oyoon Abdul1Ayyaz Muhammad2Department of Mathematical Sciences, University of Karachi, Karachi 75270, Pakistan Department of Mathematical Sciences, University of Karachi, Karachi 75270, Pakistan Department of Mathematical Sciences, University of Karachi, Karachi 75270, Pakistan In this paper, Sumudu transform is advanced and designed for the solution of linear differential models with uncertainty. For this purpose, Sumudu transform is coupled with fuzzy theory and all its fundamental properties are formalized in fuzzy sense. At last, to demonstrate the accuracy of this approach, fuzzy Sumudu transform is employed to some examples of fuzzy linear differential equations considered under generalized H-differentiability and analytical solutions are obtained efficiently.https://doi.org/10.1515/nleng-2015-0003fuzzy-valued functionh-differentiability fuzzy sumudu transform |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Khan Najeeb Alam Razzaq Oyoon Abdul Ayyaz Muhammad |
| spellingShingle |
Khan Najeeb Alam Razzaq Oyoon Abdul Ayyaz Muhammad On the solution of fuzzy differential equations by Fuzzy Sumudu Transform Nonlinear Engineering fuzzy-valued function h-differentiability fuzzy sumudu transform |
| author_facet |
Khan Najeeb Alam Razzaq Oyoon Abdul Ayyaz Muhammad |
| author_sort |
Khan Najeeb Alam |
| title |
On the solution of fuzzy differential equations by
Fuzzy Sumudu Transform |
| title_short |
On the solution of fuzzy differential equations by
Fuzzy Sumudu Transform |
| title_full |
On the solution of fuzzy differential equations by
Fuzzy Sumudu Transform |
| title_fullStr |
On the solution of fuzzy differential equations by
Fuzzy Sumudu Transform |
| title_full_unstemmed |
On the solution of fuzzy differential equations by
Fuzzy Sumudu Transform |
| title_sort |
on the solution of fuzzy differential equations by
fuzzy sumudu transform |
| publisher |
De Gruyter |
| series |
Nonlinear Engineering |
| issn |
2192-8010 2192-8029 |
| publishDate |
2015-03-01 |
| description |
In this paper, Sumudu transform is advanced
and designed for the solution of linear differential models
with uncertainty. For this purpose, Sumudu transform
is coupled with fuzzy theory and all its fundamental
properties are formalized in fuzzy sense. At last, to
demonstrate the accuracy of this approach, fuzzy Sumudu
transform is employed to some examples of fuzzy linear
differential equations considered under generalized H-differentiability and analytical solutions are obtained efficiently. |
| topic |
fuzzy-valued function h-differentiability fuzzy sumudu transform |
| url |
https://doi.org/10.1515/nleng-2015-0003 |
| work_keys_str_mv |
AT khannajeebalam onthesolutionoffuzzydifferentialequationsbyfuzzysumudutransform AT razzaqoyoonabdul onthesolutionoffuzzydifferentialequationsbyfuzzysumudutransform AT ayyazmuhammad onthesolutionoffuzzydifferentialequationsbyfuzzysumudutransform |
| _version_ |
1717775165606068224 |