Loterre: Mathematics: fractional calculus

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fractional calculus

Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number powers of the differentiation operator ${\\displaystyle D}$
${\\displaystyle Df(x)={\ rac {d}{dx}}f(x)\\,,}$
and of the integration operator ${\\displaystyle J}$
${\\displaystyle Jf(x)=\\int _{0}^{x}f(s)\\,ds\\,,}$
and developing a calculus for such operators generalizing the classical one.

(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Fractional_calculus)

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