Communications in Nonlinear Science and Numerical Simulation, ( ISI ), Volume (18), No (1), Year (2013-1) , Pages (12-21)

Title : ( Modified fractional Euler method for solving Fuzzy Fractional Initial Value Problem )

Authors: mehran mazandarani , Ali Vahidian Kamyad ,

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Abstract

In this paper, the solution to Fuzzy Fractional Initial Value Problem [FFIVP] under Caputotype fuzzy fractional derivatives by a modified fractional Euler method is presented. The Caputo-type fuzzy fractional derivatives are defined based on Hukuhara difference and strongly generalized fuzzy differentiability. The modified fractional Euler method based on a generalized Taylor’s formula and a modified trapezoidal rule is used for solving initial value problem under fuzzy fractional differential equation of order ...; . Solving two examples of linear and nonlinear FFIVP illustrates the method.

Keywords

, Fuzzy Fractional Differential Equations, Fractional Initial Value Problem, Caputo-type fuzzy fractional derivative, Fractional Euler method,