A Predictor-Corrector Method for Fractional Delay-Differential System with Multiple Lags

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  • Salem Abdelmalek1,
  • Redouane Douaifia2,
  1. Department of mathematics, University of Tebessa 12002 Algeria.
  2. Laboratory of Mathematics, Informatics and Systems (LAMIS), Larbi Tebessi University – Tebessa

Published in Issue 2025-11-09

How to Cite

A Predictor-Corrector Method for Fractional Delay-Differential System with Multiple Lags. (2025). Communications in Nonlinear Analysis, 6(1). https://oiccpress.com/cna/article/view/17921

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Abstract

The purpose of this work is to present numerical solutions of variable-order fractional delay differential equations with multiple lags based on the Adams-Bashforth-Moulton method, where the derivative is defined in the Caputo variable-order fractional sense. Since the variable-order fractional derivatives contain classical and fractional derivatives as special cases and also single delay is a special case of multiple delays, several results of references are significantly generalized. The error analysis for this method is given and the effectiveness of the algorithm is highlighted with numerical examples.

Keywords

  • variable-order fractional calculus,
  • delay differential equations,
  • Adams Bashforth-Moulton method
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References

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