A Predictor-corrector Scheme for Solving Nonlinear Delay Differential Equations of Fractional Order

نویسندگان

  • SACHIN BHALEKAR
  • VARSHA DAFTARDAR-GEJJI
چکیده

Adams-Bashforth-Moulton algorithm has been extended to solve delay differential equations of fractional order. Numerical illustrations are presented to demonstrate utility of the method. Chaotic behaviour is observed in one dimensional delayed systems of fractional order. We further find the smallest fractional order for the chaotic behaviour. It is also observed that the phase portraits get stretched in some cases as the order of the derivative is reduced.

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تاریخ انتشار 2011