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...

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Detalles Bibliográficos
Autores principales: Ahmad, M. Z., Hasan, M. K., Abbasbandy, S.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3777132/
https://www.ncbi.nlm.nih.gov/pubmed/24082853
http://dx.doi.org/10.1155/2013/454969
Descripción
Sumario: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.

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