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Modified fractional Euler method for solving fuzzy fractional initial value problem. (English) Zbl 1253.35208
Summary: In this paper, the solution to fuzzy 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 fractional differential equation of order β(0,1). Solving two examples of linear and nonlinear FFIVP illustrates the method.
MSC:
35R13Fuzzy partial differential equations
35R11Fractional partial differential equations