5 papers
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. The corresponding three-parametric…
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…
Fractional Driven Damped Oscillator
Fernando Olivar-Romero, Oscar Rosas-Ortiz
The resonances associated with a fractional damped oscillator which is driven by an oscillatory external force are studied. It is shown that such resonances can be manipulated by t…
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…