R. Hilfer
Fractals 11, 251 (2003)
https://doi.org/10.1142/S0218348X03001914
submitted on
Monday, April 2, 2001
Generalized fractional relaxation equations based on generalized Riemann-Liouville derivatives are combined with a simple short time regularization and solved exactly. The solution involves generalized Mittag-Leffler functions. The associated frequency dependent susceptibilities are related to symmetrically broadened Cole-Cole susceptibilities occurring as Johari Goldstein β -relaxation in many glass formers. The generalized susceptibilities exhibit a high frequency wing and strong minimum enhancement.
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