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Caputo Fractional Derivative Pdf Free

 
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MessagePosté le: Jeu 29 Sep - 21:37 (2016)    Sujet du message: Caputo Fractional Derivative Pdf Free Répondre en citant




Caputo Fractional Derivative Pdf Free > shorl.com/jirimatomymo























































Caputo Fractional Derivative Pdf Free

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d,,,,a,,,,d,,,,x,,,,a,,,,x,,,,k,,,,=,,,,Γ,,,,(,,,,k,,,,+,,,,1,,,,),,,,Γ,,,,(,,,,k,,,,−,,,,a,,,,+,,,,1,,,,),,,,x,,,,k,,,,−,,,,a,,,,,,,,,k,,,,≥,,,,0,,,,{displaystyle,,,,{dfrac,,,,{d^{a}}{dx^{a}}}x^{k}={dfrac,,,,{Gamma,,,,(k+1)}{Gamma,,,,(k-a+1)}}x^{k-a},qquad,,,,kgeq,,,,0},,,,.,,,,Article,,regarding,,the,,history,,of,,fractional,,calculus[edit].,,John,,,Wiley,,,&,,,Sons.,,,Also,,,,,there,,,,is,,,,a,,,,Udita-type,,,,fractional,,,,derivative,,,,,which,,,,generalizes,,,,the,,,,Riemann-Liouville,,,,and,,,,the,,,,Hadamard,,,,fractional,,,,derivatives.[7],,,,As,,,,with,,,,the,,,,case,,,,of,,,,fractional,,,,integrals,,,,,the,,,,same,,,,is,,,,not,,,,true,,,,for,,,,the,,,,ErdlyiKober,,,,operator.[7].,,,,External,,,,links[edit].,,,,V.,,GigaHedron,,,-,,,Richard,,,Herrmann's,,,collection,,,of,,,books,,,,articles,,,,preprints,,,,etc.,,,Zhou,,,,,Y.,,,,(,,J,,2,,f,,),,(,,x,,),,=,,∫,,0,,x,,(,,J,,f,,),,(,,t,,),,d,,t,,=,,∫,,0,,x,,(,,∫,,0,,t,,f,,(,,s,,),,d,,s,,),,d,,t,,,,,{displaystyle,,(J^,,,,7f)(x)=int,,,,,,6^,,,,5(Jf)(t)dt=int,,,,,,4^,,,,3left(int,,,,,,2^,,,,1f(s);dsright);dt,},,.,,U.N.,,

Springer.,,,,leads,,,,in,,,,a,,,,straightforward,,,,way,,,,to,,,,a,,,,generalization,,,,for,,,,real,,,,n.,,,,In,,,,the,,,,referenced,,,,paper,,,,,the,,,,fractional,,,,conservation,,,,of,,,,mass,,,,equation,,,,for,,,,fluid,,,,flow,,,,is:.,,,,(,,J,,n,,f,,),,(,,x,,),,=,,1,,(,,n,,−,,1,,),,!,,∫,,0,,x,,(,,x,,−,,t,,),,n,,−,,1,,f,,(,,t,,),,d,,t,,,,,{displaystyle,,(J^,,,,3f)(x)=,,,,2int,,,,,,1^,,,,0(x-t)^,,Saved,,in,,parser,,cache,,with,,key,,enwiki:pcache:idhash:229939-0!*!0!!en!4!*!math=5,,and,,timestamp,,20160924212925,,and,,revision,,id,,737228447,,9f(t);dt,},,.,,Fractional,,derivative,,of,,a,,basic,,power,,function[edit].,,"A,,,brief,,,historical,,,introduction,,,to,,,fractional,,,calculus".,,,Vol.18.,,Tarasov,,"No,,violation,,of,,the,,Leibniz,,rule.,,Even,,,,though,,,,the,,,,integral,,,,operator,,,,in,,,,question,,,,is,,,,a,,,,close,,,,resemblance,,,,of,,,,the,,,,famous,,,,ErdlyiKober,,,,operator,,,,,it,,,,is,,,,not,,,,possible,,,,to,,,,obtain,,,,the,,,,Hadamard,,,,fractional,,,,integral,,,,as,,,,a,,,,direct,,,,consequence,,,,of,,,,the,,,,ErdlyiKober,,,,operator.,,,,Katugampola,,,Correction,,to,,What,,is,,a,,fractional,,derivative?,,by,,Ortigueira,,and,,Machado,,[Journal,,of,,Computational,,Physics,,,Volume,,293,,,15,,July,,2015,,,Pages,,413.,,

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