In this paper, we have researched fractional Jacobi operational matrix for solving Fuzzy Linear Fractional Differential Equation of order 0 < ν < 1. By using fractional Jacobi operational matrix, it is to reduce the problem which obtain the approximative solution of Fuzzy Linear Fractional Differential Equation to solving of a system of Fuzzy Linear Algebraic Equation. We improved the accuracy of the numerical approximation of the solution by using fractional-order Jacobi functions and are verified by some examples.
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