Nanoporous solids are ubiquitous in chemical, energy, and environmental processes, where
controlled transport of molecules through the pores plays a crucial role. They are used as …

In this paper, we propose accurate and efficient finite difference methods to discretize the
two-and three-dimensional fractional Laplacian (− Δ) α 2 (0< α< 2) in hypersingular integral …

Anomalous heat diffusion, which is commonly characterized by the nonlinear growth of
mean square of displacement (MSD),| Δ x| 2∼ t β (0< β≤ 2), is usually paired with a length …

The main aim of this paper is to develop a class of high-order finite difference method for the
numerical solution of Caputo type time-fractional sub-diffusion equation. In the time …

We present an analysis of existence, uniqueness, and smoothness of the solution to a class
of fractional ordinary differential equations posed on the whole real line that models a steady …

This paper presents, a novel semi-analytical algorithm, based on the Chebyshev collocation
method, for the solution of space-fractional diffusion equations. The original fractional …

The abstract Cauchy problem for the fractional evolution equation with the Caputo derivative
of order β∈(0, 1) and operator− A α, α∈(0, 1), is considered, where− A generates a strongly …

Internal effects of the dynamic behaviors and nonlinear characteristics of a coupled
fractional order hydropower generation system (HGS) are analyzed. A mathematical model …