Fractional Calculus for Complex Orders: Applications and Theory

[dimension10]

Is there anyway to calculate successive derivatives of the form

$$\frac{{d}^{a+ib}}{d{x}^{a+ib}} [f(x)]$$

Thanks.

 

[pwsnafu]

If we are assuming $f:\mathbb{R}\rightarrow \mathbb{R}$ this is precisely the http://en.wikipedia.org/wiki/Riemann%E2%80%93Liouville_integral" derivative.

Find a book on fractional calculus and the most of the result transfer to complex orders directly.