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Title: | Solving fuzzy fractional differential equations using Zadeh's extension principle |
Authors: | Muhammad Zaini, Ahmad, Dr. Mohammad Khatim, Hasan, Assoc. Prof. Dr. Saeid, Abbasbandy, Dr. mzaini@unimap.edu.my khatim@ftsm.ukm.my abbasbandy@yahoo.com |
Keywords: | Algorithm Fuzzy fractional differential equation Mathematical analysis Physical phenomena Process optimization Zadeh's extension principle. |
Issue Date: | 2013 |
Publisher: | Hindawi Publishing Corporation |
Citation: | The Scientific World Journal, vol. 2013, 2013, pages 1-11 |
Abstract: | 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. |
Description: | Link to publisher's homepage at http://www.hindawi.com/ |
URI: | http://www.hindawi.com/journals/tswj/2013/454969/ http://dspace.unimap.edu.my:80/dspace/handle/123456789/32478 |
ISSN: | 1537-744X |
Appears in Collections: | Institute of Engineering Mathematics (Articles) |
Files in This Item:
File | Description | Size | Format | |
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Solving fuzzy fractional differential equations using Zadeh's extension principle.pdf | 554.1 kB | Adobe PDF | View/Open |
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