Abstract
This paper presents the fractional order model of a nonlinear autonomous continuous-time difference-differential equation with only one variable. Numerical simulation results of the fractional order model demonstrate the existence of chaos when system order $$q\ge 0.2$$ . Values of the delay time $$\tau $$ in which chaotic behavior is observed at system order $$q$$ are quantitatively defined using the largest Lyapunov exponents obtained from the output time series.
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