This article reveals a specific category of solutions for the 1+ 1 variable order (VO) nonlinear
fractional Fokker-Planck equations. These solutions are formulated using VO q-Gaussian …

We investigate a bi-parametric family of nonlinear diffusion equations that includes, as
special members, the power-law nonlinear diffusion equation, and an evolution equation …

In this article, we propose an approach to create a high-quality quantum tent map by utilizing
the generalized quantum dot system. Our objective is to determine if its chaos surpasses that …

This paper analyses the high-frequency intraday Bitcoin dataset from 2019 to 2022. During
this time frame, the Bitcoin market index exhibited two distinct periods characterized by …

This paper presents a fractional Newton explicit group method to solve time-fractional
nonlinear porous medium equations. The presented method utilizes implicit finite difference …

Systems consisting of confined, interacting particles doing overdamped motion admit an
effective description in terms of nonlinear Fokker–Planck equations. The behavior of these …

This paper considers a sandpile model subjected to a sinusoidal external drive with the
period T. We develop a theoretical model for the Green's function in a large T limit, which …

We propose integral representations and analytical solutions for the propagator of the $1+
1$ dimensional Salpeter Hamiltonian, describing a relativistic quantum particle with no spin …

Time-fractional porous medium equation is a fractional differential equation that exists in the
nonlinear diffusion of matter subjects to a porous medium setting. Exact solutions to such …