Fractional Calculus

The study of an extension of derivatives and integrals to noninteger orders. Fractional calculus is based on the definition of the fractional integral as

 D^(-nu)f(t)=1/(Gamma(nu))int_0^t(t-xi)^(nu-1)f(xi)dxi,

where Gamma(nu) is the gamma function. From this equation, fractional derivatives can also be defined.

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