On Extended Tempered Fractional Calculus
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Keywords:
Fractional Calculus, Tempered Fractional Calculus, Mittag-Leffler function, Fourier TransformAbstract
In this paper we will introduce an extension of the Riemann-Liouville tempered fractional derivative (integral) replacing the exponential factor by the one parameter Mittag-Leffler function. We will calculate the Fourier Transform of this new tempered fractional operator.
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