An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations

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A hybrid functions numerical scheme for fractional optimal control problems: Application to nonanalytic dynamic systems (2017, methodology): “Fractional calculus, as an extension of derivatives and integrals to noninteger orders, has been recently used to model many fundamental problems in science and engineering (Oldham and Spanier, 1974; Moghaddam et al., 2016; Yaghoobi et al., 2016; Machado and Lopes, 2017; Moghaddam et al., 2017).”
Analysis of the compact difference scheme for the semilinear fractional partial differential equation with time delay (2017, methodology): “[19] presents a numerical method based on the Adams–Bashforth–Moulton scheme to solve variable-order fractional delay differential equations and they also proved the existence and uniqueness of the solutions under the Lipschitz condition.”