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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 D
and of the integration operator J
and developing a calculus for such operators generalizing the classical one.
In this context, the term powers refers to iterative application of a linear operator D to a function f, that is, repeatedly composing D with itself, as in D n = = D ⋯ ] ] ] {\displaystyle D^{n}==\underbrace {D\cdots ]]]}.
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