This article presents a numerical method based on the Adams–Bashforth–Moulton scheme to solve variable-order fractional delay differential equations (VFDDEs). In these equations, the variable-order (VO) fractional derivatives are described in the Caputo sense. The existence and uniqueness of the solutions are proved under Lipschitz condition. Numerical examples are presented showing the applicability and efficiency of the novel method.
An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received September 3, 2015; final manuscript received January 20, 2016; published online June 20, 2016. Assoc. Editor: Hiroshi Yabuno.
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Parsa Moghaddam, B., Yaghoobi, S., and Tenreiro Machado, J. A. (June 20, 2016). "An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations." ASME. J. Comput. Nonlinear Dynam. November 2016; 11(6): 061001. https://doi.org/10.1115/1.4032574
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