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
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author Ahmad, M. Z.
Hasan, M. K.
Abbasbandy, S.
author_facet Ahmad, M. Z.
Hasan, M. K.
Abbasbandy, S.
author_sort Ahmad, M. Z.
collection PubMed
description 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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spelling pubmed-37771322013-09-30 Solving Fuzzy Fractional Differential Equations Using Zadeh's Extension Principle Ahmad, M. Z. Hasan, M. K. Abbasbandy, S. ScientificWorldJournal Research Article 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. Hindawi Publishing Corporation 2013-09-04 /pmc/articles/PMC3777132/ /pubmed/24082853 http://dx.doi.org/10.1155/2013/454969 Text en Copyright © 2013 M. Z. Ahmad et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Ahmad, M. Z.
Hasan, M. K.
Abbasbandy, S.
Solving Fuzzy Fractional Differential Equations Using Zadeh's Extension Principle
title 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_short Solving Fuzzy Fractional Differential Equations Using Zadeh's Extension Principle
title_sort solving fuzzy fractional differential equations using zadeh's extension principle
topic Research Article
url 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
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