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I have located a paper claiming that it is possible to fractionally differentiate, called 'Fractional Calculus I'

Orion1 derivative integer factorial theorem:

[tex]\frac{d^n}{dx^n} (x^n) = n![/tex]

Is this paper correct? is 'Fractional Calculus' really possible?

http://nrich.maths.org/public/viewer.php?obj_id=1365&refpage=monthindex.php&part=index&nomenu=1

Fractional Integration?

Reference:

https://www.physicsforums.com/showpost.php?p=672326&postcount=1

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