In this paper, we propose a revised fractional Brownian motion run with a nonlinear clock
(fBm-nlc) model and utilize it to illustrate the microscopic mechanism analysis of the fractal …

This paper focuses on the usage of the homotopy analysis method (HAM) to solve the
fractional heat conduction equation. In the presented mathematical model, Caputo-type …

The aim of this paper is the adaptation of the alternating phase truncation (APT) method for
solving the two-phase time-fractional Stefan problem. The aim was to determine the …

This paper presents an iterative procedure based on an implicit finite difference method to
solve a mathematical model of drug delivery from a planar matrix with a moving boundary …

In this article, a time‐fractional nonlinear moving boundary problem is considered to express
the mathematical model of diffusion of a solvent into a glassy polymeric device. A numerical …

This paper presents an algorithm for solving the inverse fractional Stefan problem. The
considered inverse problem consists of determining the heat transfer coefficient at one of the …

This paper studies a parabolic-type system of time-dependent partial differential equations
coupled with Robin boundary conditions to model the solvent penetration and subsequently …

This paper considers a drug delivery polymeric device in contact with a solvent as a
nonlinear moving boundary problem. In this problem, the drug concentration and unknown …

This paper is associated with a nonlinear parabolic moving boundary problem raised from
the mathematical modeling of the behavior of the breast avascular cancer tumors at their first …