Solving Fuzzy Fractional Differential Equations Using Zadeh's Extension Principle

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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Veröffentlicht in:TheScientificWorld 2013-01, Vol.2013 (2013), p.1-11
Hauptverfasser: Ahmad, M. Z., Abbasbandy, Saeid, Hasan, M. K.
Format: Artikel
Sprache:eng
Schlagworte:
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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Beschreibung
Zusammenfassung: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.
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2013/454969