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Armand, Atefeh, Allahviranloo, Tofigh, Abbasbandy, Saeid, Gouyandeh, Zeinab. (1397). The fuzzy generalized Taylor’s expansion with application in fractional differential equations. نشریه علمی دانشگاه سیستان و بلوچستان, 16(2), 57-72. doi: 10.22111/ijfs.2019.4542
Atefeh Armand; Tofigh Allahviranloo; Saeid Abbasbandy; Zeinab Gouyandeh. "The fuzzy generalized Taylor’s expansion with application in fractional differential equations". نشریه علمی دانشگاه سیستان و بلوچستان, 16, 2, 1397, 57-72. doi: 10.22111/ijfs.2019.4542
Armand, Atefeh, Allahviranloo, Tofigh, Abbasbandy, Saeid, Gouyandeh, Zeinab. (1397). 'The fuzzy generalized Taylor’s expansion with application in fractional differential equations', نشریه علمی دانشگاه سیستان و بلوچستان, 16(2), pp. 57-72. doi: 10.22111/ijfs.2019.4542
Armand, Atefeh, Allahviranloo, Tofigh, Abbasbandy, Saeid, Gouyandeh, Zeinab. The fuzzy generalized Taylor’s expansion with application in fractional differential equations. نشریه علمی دانشگاه سیستان و بلوچستان, 1397; 16(2): 57-72. doi: 10.22111/ijfs.2019.4542

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
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