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Linear fractional fuzzy differential equations with Caputo derivative | ||
| Computational Methods for Differential Equations | ||
| مقاله 8، دوره 7، شماره 2، تیر 2019، صفحه 252-265 اصل مقاله (354.31 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Rahman Abdollahi1؛ Mohammad Bagher Farshbaf Moghimi* 1؛ Alireza Khastan2؛ Mohammad Reza Hooshmandasl3 | ||
| 1Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran | ||
| 2Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran | ||
| 3Department of Computer Science, Yazd University, Yazd, Iran | ||
| 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 | ||
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