[tex]{H}^{2}x=\frac{dy}{dx}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

Where

His the Half-derivative operator.

My question is:

Is there a general solution for:

[tex]\frac{{d}^{\frac{1}{2}}}{{d}^{\frac{1}{2}}x}f(x)[/tex]

or alternatively

[tex]H\; f(x)[/tex]

I have another question. What is the meaning of the symbol:

[tex]\oint_{\alpha}^{\Omega}f'(x)\; dx[/tex]

or

[tex]\oint f'(x)\; dx[/tex]

I don't get what it means when you have that circle in the centre.

Thanks.

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# A general formula for the half-derivative?

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