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

Moghaddam, B. Parsa; Yaghoobi, Sh.; Tenreiro Machado, J. A.

http://hdl.handle.net/10400.22/9408

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Authors

Moghaddam, B. Parsa

Yaghoobi, Sh.

Tenreiro Machado, J. A.

Abstract(s)

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.

Keywords

Variable-order fractional calculus Variable-order fractional delay differential equations Adams method New iterative method Predictor–corrector method