Modified fractional Euler method for solving Fuzzy sequential Fractional Initial Value Problem under H-differentiability

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 Taylor's 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.