Solving fuzzy fractional differential equations using Zadeh's extension principle

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Abstract

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. © 2013 M. Z. Ahmad et al.

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Ahmad, M. Z., Hasan, M. K., & Abbasbandy, S. (2013). Solving fuzzy fractional differential equations using Zadeh’s extension principle. The Scientific World Journal, 2013. https://doi.org/10.1155/2013/454969

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