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math-ph2017
Complete Monotonicity of Fractional Kinetic Functions
Ester C. F. A. Rosa, Edmundo C. Oliveira
The introduction of a fractional differential operator defined in terms of the Riemann-Liouville derivative makes it possible to generalize the kinetic equations used to model rela…
math-ph2015★ 4 cited
Relaxation Equations: Fractional Models
Ester C. F. A. Rosa, E. Capelas de Oliveira
The relaxation functions introduced empirically by Debye, Cole-Cole, Cole-Davidson and Havriliak-Negami are, each of them, solutions to their respective kinetic equations. In this…