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The fuzzy generalized Taylor’s expansion with application in fractional differential equations | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 6، دوره 16، شماره 2، خرداد و تیر 2019، صفحه 57-72 اصل مقاله (465.84 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2019.4542 | ||
| نویسندگان | ||
| Atefeh Armand* 1؛ Tofigh Allahviranloo1؛ Saeid Abbasbandy2؛ Zeinab Gouyandeh1 | ||
| 1Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran | ||
| 2Imam Khomeini Int. University | ||
| چکیده | ||
| In this paper, the generalized Taylor’s expansion is presented for fuzzy-valued functions. To achieve this aim, fuzzy fractional mean value theorem for integral, and some properties of Caputo generalized Hukuhara derivative are necessary that we prove them in details. In application, the fractional Euler’s method is derived for solving fuzzy fractional differential equations in the sense of Caputo differentiability. The effectiveness of the proposed method is verified by three examples. | ||
| کلیدواژهها | ||
| Generalized Hukuhara derivative؛ Caputo generalized Hukuhara derivative؛ Fuzzy mean value theorem for Riemann-Liouville integral؛ Generalized Taylor’s expansion؛ Fuzzy fractional differential equations؛ Fuzzy fractional Euler’s method | ||
| مراجع | ||
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