Solution of Linear Fuzzy Fractional Differential Equations Using Fuzzy Natural Transform
Keyword(s):
The purpose of this paper is to apply the fuzzy natural transform (FNT) for solving linear fuzzy fractional ordinary differential equations (FFODEs) involving fuzzy Caputo’s H-difference with Mittag-Leffler laws. It is followed by proposing new results on the property of FNT for fuzzy Caputo’s H-difference. An algorithm was then applied to find the solutions of linear FFODEs as fuzzy real functions. More specifically, we first obtained four forms of solutions when the FFODEs is of order α∈(0,1], then eight systems of solutions when the FFODEs is of order α∈(1,2] and finally, all of these solutions are plotted using MATLAB. In fact, the proposed approach is an effective and practical to solve a wide range of fractional models.
2016 ◽
Vol 5
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pp. 1636-1640
2019 ◽
Vol 36
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pp. 5821-5834
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2017 ◽
Vol 10
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pp. 2620-2632
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