Solving fuzzy fractional differential equations using Zadeh's extension principle
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2014
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my.unimap-324782014-03-10T04:53:48Z Solving fuzzy fractional differential equations using Zadeh's extension principle Muhammad Zaini, Ahmad, Dr. Mohammad Khatim, Hasan, Assoc. Prof. Dr. Saeid, Abbasbandy, Dr. mzaini@unimap.edu.my khatim@ftsm.ukm.my abbasbandy@yahoo.com Algorithm Fuzzy fractional differential equation Mathematical analysis Physical phenomena Process optimization Zadeh's extension principle. Link to publisher's homepage at http://www.hindawi.com/ We study a fuzzy fractional differential equation (FFDE) and present its solution using Zadeh's extension principle. The proposed study extends the case of fuzzy differential equations of integer order. We also propose a numerical method to approximate the solution of FFDEs. To solve nonlinear problems, the proposed numerical method is then incorporated into an unconstrained optimisation technique. Several numerical examples are provided. 2014-03-10T04:53:48Z 2014-03-10T04:53:48Z 2013 Article The Scientific World Journal, vol. 2013, 2013, pages 1-11 1537-744X http://www.hindawi.com/journals/tswj/2013/454969/ http://dspace.unimap.edu.my:80/dspace/handle/123456789/32478 en Hindawi Publishing Corporation |
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English |
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Algorithm Fuzzy fractional differential equation Mathematical analysis Physical phenomena Process optimization Zadeh's extension principle. |
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Algorithm Fuzzy fractional differential equation Mathematical analysis Physical phenomena Process optimization Zadeh's extension principle. Muhammad Zaini, Ahmad, Dr. Mohammad Khatim, Hasan, Assoc. Prof. Dr. Saeid, Abbasbandy, Dr. Solving fuzzy fractional differential equations using Zadeh's extension principle |
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Link to publisher's homepage at http://www.hindawi.com/ |
| author2 |
mzaini@unimap.edu.my |
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mzaini@unimap.edu.my Muhammad Zaini, Ahmad, Dr. Mohammad Khatim, Hasan, Assoc. Prof. Dr. Saeid, Abbasbandy, Dr. |
| format |
Article |
| author |
Muhammad Zaini, Ahmad, Dr. Mohammad Khatim, Hasan, Assoc. Prof. Dr. Saeid, Abbasbandy, Dr. |
| author_sort |
Muhammad Zaini, Ahmad, Dr. |
| title |
Solving fuzzy fractional differential equations using Zadeh's extension principle |
| title_short |
Solving fuzzy fractional differential equations using Zadeh's extension principle |
| title_full |
Solving fuzzy fractional differential equations using Zadeh's extension principle |
| title_fullStr |
Solving fuzzy fractional differential equations using Zadeh's extension principle |
| title_full_unstemmed |
Solving fuzzy fractional differential equations using Zadeh's extension principle |
| title_sort |
solving fuzzy fractional differential equations using zadeh's extension principle |
| publisher |
Hindawi Publishing Corporation |
| publishDate |
2014 |
| url |
http://dspace.unimap.edu.my:80/dspace/handle/123456789/32478 |
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1643796911892725760 |
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13.214268 |