178 citations
- Ss. Cyril and Methodius University in SkopjeMK37 papers
- University of PotsdamDE18 papers
- FZU ‒ Institute of Physics of the Academy of Sciences of the Czech RepublicCZ16 papers
- Fraunhofer Institute for Telecommunications, Heinrich Hertz InstituteDE9 papers
- Goce Delcev UniversityMK6 papers
- Technion – Israel Institute of TechnologyIL6 papers
- Institute of Nuclear Physics, Polish Academy of SciencesPL5 papers
- Radiation Safety DirectorateMK5 papers
- University of California San DiegoUS5 papers
- Homi Bhabha National InstituteIN3 papers
- Institute of Mathematical SciencesIN3 papers
- Korea UniversityKR3 papers
65 papers
Heterogeneous Cattaneo-Vernotte equation connection to the noisy voter model
K. Górska, A. Horzela, D. Jankov Maširević +3
We consider a heterogeneous diffusion equation and its corresponding generalization to the Cattaneo-Vernotte equation. It is derived by a combination of the continuity equation and…
Generalised fractional Rabi problem
Alexander Lopez, Sébastien Fumeron, Malte Henkel +2
Fractional quantum dynamics provides a natural framework to capture nonlocal temporal behavior and memory effects in quantum systems. In this work, we analyze the physical conseque…
Generalized diffusion process with nonlocal interactions: Continuous time random walk model and stochastic resetting
Pece Trajanovski, Irina Petreska, Katarzyna Gorska +2
A space fractional diffusion-like equation is introduced, which embodies the nonlocality in time, represented by the memory kernel and the non-locality in space. A specific example…
Random resetting in search problems
Arnab Pal, Viktor Stojkoski, Trifce Sandev
By periodically returning a search process to a known or random state, random resetting possesses the potential to unveil new trajectories, sidestep potential obstacles, and conseq…
Ornstein-Uhlenbeck process and generalizations: particle's dynamics under comb constraints and stochastic resetting
Pece Trajanovski, Petar Jolakoski, Kiril Zelenkovski +3
The Ornstein-Uhlenbeck process is interpreted as Brownian motion in a harmonic potential. This Gaussian Markov process has a bounded variance and admits a stationary probability di…
Volterra-Prabhakar derivative of distributed order and some applications
K. Górska, T. Pietrzak, T. Sandev +1
The paper studies the exact solution of two kinds of generalized Fokker-Planck equations in which the integral kernels are given either by the distributed order function $k_{1}(t)…