Linear fractional fuzzy differential equations with Caputo derivative

نویسندگان
Abdollahi, Rahman ID 1
Farshbaf Moghimi, Mohammad Bagher ID 2
Khastan, Alireza ID 3
Hooshmandasl, Mohammad Reza ID 4

1 Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran

2 Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran

3 Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran

4 Department of Computer Science, Yazd University, Yazd, Iran

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چکیده

In this paper, we study linear fractional fuzzy differential equations involving the Caputo generalized Hukuhara derivative. Using the fuzzy Laplace transform, we present the general form of solutions in terms of Mittag-Leffler functions. Finally, some examples are provided to illustrate our results.

کلیدواژه‌ها
Caputo fractional derivative, Fuzzy fractional differential equation, Fuzzy initial value problem, Fuzzy Laplace transform, Generalized Hukuhara differentiability