A5004044483- Fractional Differential Equations Solutions
- Nonlinear Differential Equations Analysis
- stochastic dynamics and bifurcation
- Iterative Methods for Nonlinear Equations
- Advanced Thermodynamics and Statistical Mechanics
- Theoretical and Computational Physics
- Functional Equations Stability Results
Istituto Nazionale di Fisica Nucleare, Sezione di Padova
2024
University of Padua
2024
Istituto Nazionale di Fisica Nucleare, Sezione di Bari
2024
We study the behaviour of a Brownian particle in overdamped regime presence harmonic potential, assuming its diffusion coefficient to randomly jump between two distinct values.In particular, we characterize probability distribution position and provide detailed expressions for mean square displacement kurtosis.We highlight non-Gaussian behavior even within long-term limit carried over with an excess both central part distribution's tails.Moreover, when one coefficients assumes value zero,...
A physical-mathematical approach to anomalous diffusion may be based on generalized equations (containing derivatives of fractional order in space or/and time) and related random walk models. The fundamental solution (for the {Cauchy} problem) can interpreted as a probability density evolving time peculiar self-similar stochastic process that we view process. By adopting appropriate finite-difference schemes solution, generate models discrete suitable for simulating variables whose spatial...