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But just as soon as the rush comes, it's gone, and you're back in the thick of an ordinary, derivative network drama.
provided that the ordinary derivative ({f'}) exists at (s_{0}).
The ordinary derivative is clearly, by definition, local [1].
The generalization is attained by changing the ordinary derivative with the fractional Caputo derivative.
provided that the ordinary derivative (f') exists at (t=s_{0}).
Note that, in particular, if (gamma=1, 2), then the derivative is the classical ordinary derivative.
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As with ordinary derivatives, a first partial derivative represents a rate of change or a slope of a tangent line.
Professor Ramamurti Shankar: Right, we know that for every function U the cross derivatives are equal but the ordinary derivatives are just the Fx and Fy; therefore, d2U over dydx is really d by dy of Fx.
The properties of the Caputo derivative are quite similar to those of ordinary derivatives.
If α is an integer, then these derivatives take the ordinary derivatives (2.5).
However, it is well known that the notion of a distributional derivative is very general, including ordinary derivatives and approximate derivatives.
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