Fractional dynamics has experienced a firm upswing during the past few years, having been
forged into a mature framework in the theory of stochastic processes. A large number of …

This research considers an inverse source problem for fractional diffusion equation that
containing fractional derivative with non-singular and non-local kernel, namely, Atangana …

A numerical method for solving the fractional diffusion equation, which could also be easily
extended to other fractional partial differential equations, is considered. In this paper we …

Книга содержит изложение метода дробных производных и состоит из трех частей,
раскрывающих физические основания метода, математический аппарат и примеры …

We study the reaction front for the process A+ B→ C in which the reagents move
subdiffusively. Our theoretical description is based on a fractional reaction-subdiffusion …

Anomalous diffusion processes occur in many physical systems for various reasons
including disorder in terms of energy or space or both. 1, 2 The anomalous diffusion …

Subdiffusive motion of tracer particles in complex crowded environments, such as biological
cells, has been shown to be widespread. This deviation from Brownian motion is usually …

In this paper, we consider a modified anomalous subdiffusion equation with a nonlinear
source term for describing processes that become less anomalous as time progresses by …

This paper is devoted to identifying a time-dependent source term in a multi-dimensional
time-fractional diffusion equation from boundary Cauchy data. The existence and …

This paper is concerned with unconditionally optimal error estimates of linearized Galerkin
finite element methods to numerically solve some multi-dimensional fractional reaction …