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Solution of Fuzzy Differential Equations Using Fuzzy Sumudu Transforms

1
Department of Information and Communication Technology, University of Agder, 4879 Grimstad, Norway
2
Departamento de Control Automático, CINVESTAV-IPN (National Polytechnic Institute), 07360 Mexico City, Mexico
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2018, 23(1), 5; https://doi.org/10.3390/mca23010005
Received: 15 December 2017 / Revised: 16 January 2018 / Accepted: 16 January 2018 / Published: 17 January 2018
(This article belongs to the Special Issue Optimization in Control Applications)
The uncertain nonlinear systems can be modeled with fuzzy differential equations (FDEs) and the solutions of these equations are applied to analyze many engineering problems. However, it is very difficult to obtain solutions of FDEs. In this paper, the solutions of FDEs are approximated by utilizing the fuzzy Sumudu transform (FST) method. Significant theorems are suggested in order to explain the properties of FST. The proposed method is validated with three real examples. View Full-Text
Keywords: uncertain nonlinear system; modeling; fuzzy Sumudu transform uncertain nonlinear system; modeling; fuzzy Sumudu transform
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Jafari, R.; Razvarz, S. Solution of Fuzzy Differential Equations Using Fuzzy Sumudu Transforms. Math. Comput. Appl. 2018, 23, 5.

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