Jisho

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分数階微積分学
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Wikipedia definition
1. Fractional calculus​Fractional calculus is a branch of mathematical analysis that studies the possibility of taking real number powers or complex number powers of the differentiation operator. and the integration operator J. (Usually J is used instead of I to avoid confusion with other I-like glyphs and identities. ) In this context the term powers refers to iterative application or composition, in the same sense that f (x) = f(f).
Read “Fractional calculus” on English Wikipedia
Read “分数階微積分学” on Japanese Wikipedia
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