Solving Fuzzy Fractional Differential Equations Using Zadeh's Extension Principle

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 probl...

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Bibliographic Details
Published inTheScientificWorld Vol. 2013; no. 2013; pp. 1 - 11
Main Authors Ahmad, M. Z., Abbasbandy, Saeid, Hasan, M. K.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2013
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Algorithms
Analysis
Applied mathematics
Calculus
Differential equations
Fractals
Fuzzy algorithms
Fuzzy Logic
Fuzzy sets
Fuzzy systems
Informatics
Information science
Mathematical analysis
Mathematical problems
Mathematical research
Models, Theoretical
Set theory
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Academic Editors: M. Bruzón and S. Momani
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2013/454969