fractional differentiation

[DrHuang.com]

mathHandbook.com computer algebra system updated 

new function is added, e.g. 

minus order differentiation d^(-1.5)/dx sin(x) = ? 

you can do in http://www.mathhandbook.com/input/?guess=d(sin(x),x,-1.5) 

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The Davison-Essex and the Riemann-Liouville definitions are different in the following aspect: in the D-E formula, differentiation is performed first, then integration; in the R-L formula it is the other way around. The D-E definition implemented, thus, maps constants to zero, imitating integer order differentiation, while the R-L definition does not. This property of the D-E definition makes it suitable to work with initial value problems for fractional differential equations.