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^(-ν) f(t) = 1/(Γ(ν)) integral_0^t (t - ξ)^(ν - 1) f(ξ) d ξ, where Γ(ν) is the gamma function. From this equation, fractional derivatives can also be defined.
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