An Operational Matrix Based on Legendre Polynomials for Solving Fuzzy Fractional-Order Differential Equations

This paper deals with the numerical solutions of fuzzy fractional differential equations under Caputo-type fuzzy fractionalderivatives of order . We derived the shifted Legendre operational matrix (LOM) of fuzzy fractional derivatives for the numerical solutions of fuzzy fractional differential equations (FFDEs). Our main purpose is to generalize the Legendre operational matrix to the fuzzy fractional calculus. The main characteristic behind this approach is that it reduces suchproblems to the degree of solving a system of algebraic equations which greatly simplifies the problem. Several illustrative examples areincluded to demonstrate the validity and applicability of the presented technique