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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/454969 |
| Summary: | 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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| ISSN: | 1537-744X |