Abstract
In this paper, an efficient approximation of two common delay fractional-order differential equations is developed. The proposed method applies the collocation method with generalized Laguerre polynomials basis. Operational differential generalized Laguerre matrix with an optimization technique is developed to obtain the unknowns. The convergence of the approximation method is discussed. We present numerical results and comparisons of previous treatments to demonstrate the efficiency and applicability of the proposed method. The resulting solution is close to the exact one in the linear case, and the error is very small in the nonlinear one.
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