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The Scientific World Journal
Volume 2013, Article ID 454969, 11 pages
Research Article

Solving Fuzzy Fractional Differential Equations Using Zadeh's Extension Principle

1Institute of Engineering Mathematics, Universiti Malaysia Perlis, Kampus Tetap Pauh Putra, 02600 Arau, Perlis, Malaysia
2School of Information Technology, Faculty of Information Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia
3Department of Mathematics, Imam Khomeini International University, Ghazvin 34149-16818, Iran

Received 25 June 2013; Accepted 24 July 2013

Academic Editors: M. Bruzón and S. Momani

Copyright © 2013 M. Z. Ahmad et al. 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.


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.