6533b7ddfe1ef96bd1273cf9

RESEARCH PRODUCT

ON FRACTIONAL RELAXATION

Rudolf HilferRudolf Hilfer

subject

PhysicsQuantum mechanicsRelaxation (physics)Regularization (mathematics)

description

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-Leer functions. The associated frequency dependent susceptibilities are related to symmetrically broadened ColeCole susceptibilities occurring as Johari Goldstein -relaxation in many glass formers. The generalized susceptibilities exhibit a high frequency wing and strong minimum enhancement.

https://doi.org/10.1142/9789812778109_0026