The description of the behaviour of test particles in a gas through Markovian and non-
Markovian Langevin dynamics is critically examined. In the Markovian case, in the Maxwell …

Applications of Fractional Calculus to Modeling in Dynamics and Chaos aims to present
novel developments, trends, and applications of fractional-order derivatives with power law …

We study the non-Markovian Brownian motion of an electrically charged harmonic oscillator
through the action of both a constant magnetic field and time-dependent force fields. The …

In the present study, we have proposed the Fokker-Planck equation in a simple way for a
Langevin equation of motion having ordinary derivative (OD), the Gaussian random force …

This work focuses on the derivation of the velocity and phase-space generalized Fokker–
Planck equations for a Brownian charged particle embedded in a memory thermal bath and …

Analytical solutions of the generalized Langevin equation have been found for the time
correlation functions describing the motion of a charged Brownian particle in an external …

We investigate the influence of an additional torque on the motion of Brownian particles
confined in a channel geometry with varying width. The particles are driven by random …

This paper applies Langevin idea to describe the Brownian motion of a particle
characterized by an Ornstein–Uhlenbeck-type process. The original and clever method …

We consider an inertial active Ornstein-Uhlenbeck particle in an athermal bath. The particle
is charged, constrained to move in a two-dimensional harmonic trap, and a magnetic field is …

The dynamics of a charged inertial active Ornstein–Uhlenbeck particle in viscoelastic
suspension is studied by introducing a time dependent memory kernel in the viscous drag …