Modified fractional Euler method for solving Fuzzy sequential Fractional Initial Value Problem under H-differentiability
نویسنده
چکیده
In this paper, the solution to Fuzzy sequential Fractional Initial Value Problem [FFIVP] under Caputo type 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 Taylors formula and a modified trapezoidal rule is used for solving initial value problem under fuzzy sequential fractional differential equation of order 0 < β < 1. Solving two examples of linear and nonlinear FFIVP illustrates the method.
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