Abstract
In this paper, we propose a novel algorithm for simultaneously identifying the time-delay parameter and fractional order in nonlinear fractional delay differential equations. Building upon the optimal perturbation method, we introduce an important perturbation function and develop a modified optimal perturbation method to identify the unknown parameters. Our proposed algorithm overcomes the issue of the optimal perturbation method being prone to local optimal values and requires relatively fewer iterations. Numerical examples are presented to confirm the validity of our algorithm.
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