Author/Authors :
Armand, A Department of Mathematics - Science and Research Branch Islamic Azad University, Tehran, Iran , Allahviranloo, T Faculty of engineering and natural science - Bahcesehir University, Istanbul, Turkey , Abbasbandy, S Department of Applied Mathematics - Imam Khomeini International University, Qazvin, Iran , Gouyandeh, Z Department of Mathematics - Najafabad Branch Islamic Azad University, Najafabad, Isfahan, Iran
Abstract :
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
dierential equations in the sense of Caputo dierentiability. The eectiveness of the proposed method is veried by
three examples.
Keywords :
Fuzzy fractional Euler's method , Fuzzy fractional differential equations , Generalized Taylor's expansion , Fuzzy mean value theorem for Riemann-Liouville integral , Caputo generalized Hukuhara derivative , Generalized Hukuhara derivative
