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ON FRACTIONAL RELAXATION

R. HilferICA-1, Universität Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany
2003en
ABI

Annotatsiya

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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