4. Mittag-Leffler exponential

4.1 Definition

For $θ \in ℂ$ and 0 < α < 1, the following function is called a Mittag-Leffler exponential and is denoted E _α (•) :

E_{α} (θ) = \sum_{k = 0}^{\infty} \frac{θ^{k}}{Γ (1 +}

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Mittag-Leffler exponential

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(1) - BAGLEY (R.L.), TORVIK (P.J.) - Fractional calculus – a different approach to the analysis of viscoelastically damped structures - AIAA Journal, 21 : 741-748 (1983).
(2) - BAGLEY (R.L.), TORVIK (P.J.) - On the fractional calculus model of viscoelastic...

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