Fractional Calculus :New Tools for Physics

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loveam_scmu
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The fractional dynamics has been appearing in many phenomena such as the movement of protein in the cytoplasm. The Fractional calculus used to describe it.

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Introductory Notes on Fractional Calculus

http://www.xuru.org/fc/toc.asp

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Fractional Calculus by Oldham and Spanier (I believe a mathematician and a chemist) has recently just been made a Dover, it seems like a pretty solid text. I picked it up about a year ago.