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Unexpected behavior of Caputo fractional derivative
(2017-09-01)
This paper discusses the modeling via mathematical methods based on fractional calculus, using Caputo fractional derivative. From the fractional models associated with harmonic oscillator, logistic equation and Malthusian ...
On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator
(American Institute of Physics (AIP), 2009-12-01)
The fractional generalized Langevin equation (FGLE) is proposed to discuss the anomalous diffusive behavior of a harmonic oscillator driven by a two-parameter Mittag-Leffler noise. The solution of this FGLE is discussed ...
On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator
(Amer Inst PhysicsMelvilleEUA, 2009)
One-sided and two-sided Green's functions
(Springer International Publishing AgChamSuíça, 2013)
One-sided and two-sided Green's functions
(Springer, 2013-03-06)
We discuss the one-sided Green's function, associated with an initial value problem and the two-sided Green's function related to a boundary value problem. We present a specific calculation associated with a differential ...