fractional calculus

== English == === Noun === fractional calculus (countable and uncountable, plural fractional calculi) (mathematical analysis, uncountable) The branch of mathematics that studies generalisations of calculus to allow noninteger (i.e., real or complex) powers of the differentiation operator D and the integration operator J; (countable) any one of said generalisations of calculus. 2000, Carl F. Lorenzo, Tom T. Hartley, Initialized Fractional Calculus, NASA, NASA/TP—2000-209943, page 12, The paper presents the definition sets required for initialized fractional calculi. Two underlying bases have been used, the Riemann-Liouville based fractional calculus and the Grünwald based functional calculus (by reference). ==== Related terms ==== fractional derivative fractional differential equation fractional Fourier transform fractional quantum mechanics fractional trigonometry ==== Translations ==== === See also === fractional-order system === Further reading === Differintegral on Wikipedia.Wikipedia Erdelyi–Kober operator on Wikipedia.Wikipedia Riemann–Liouville integral on Wikipedia.Wikipedia Weyl integral on Wikipedia.Wikipedia Mittag-Leffler function on Wikipedia.Wikipedia Fractional Fourier transform on Wikipedia.Wikipedia Fractional-order system on Wikipedia.Wikipedia