Sentence examples for derivative orders from inspiring English sources

where,, and are the derivative orders.

Fractional-order system (5) involving derivative orders is a generalization of autonomous system (1).

In further simulations, we use the same set of parameters as in Fig. 4, but we change the initial values to ((x_{0},y_{0})=(28,40)) and ((100,120)) and the derivative orders to (alpha =0.9) and 0.99.

(a) Derivative order (alpha =0.79), (b) derivative order (alpha =0.80), (c) derivative order (alpha =0.83), and (d) derivative order (alpha =0.95).

(a) Derivative order (alpha =0.7) and (b) derivative order (alpha =0.9).

The two-dimensional array position is related to the derivative order.

In Section 2, we give a brief history and properties of the fractional derivative order definition.

This distribution offers access to highly concentrated representation of any phase derivative order of a signal.

Moreover, given a derivative order, the conditions for the existence of a Hopf bifurcation of the positive equilibrium are obtained.

However, the robustness analysis of the parameters, which is concerned with the fractional derivative order, is not considered.

But the components of the state decay towards 0 like, which is different from the case with Caputo derivative order.