18 citations · 34 across the 5 of their papers we have counts for
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Fractional oscillators with fractional damping in the presence of external forces
Fernando Olivar-Romero, Oscar Rosas-Ortiz
We investigate how a fractional oscillator reacts to external forces when the dynamic law includes a damping term that is explicitly fractional. We show that the corresponding thre…
An Integro-Differential Equation of the Fractional Form: Cauchy Problem and Solution
Fernando Olivar-Romero, Oscar Rosas-Ortiz
We solve the Cauchy problem defined by the fractional partial differential equation , with the pseudo-differential Riesz operator of fi…
Transition from the wave equation to either the heat or the transport equations through fractional differential expressions
Fernando Olivar-Romero, Oscar Rosas-Ortiz
We study a model that intermediates among the wave, heat, and transport equations. The approach considers the propagation of initial disturbances in a one-dimensional medium that c…
Factorization of the Quantum Fractional Oscillator
Fernando Olivar-Romero, Oscar Rosas-Ortiz
The applicability of the factorization method is extended to the case of quantum fractional-differential Hamiltonians. In contrast with the conventional factorization, it is shown…