This paper presents a comprehensive review of finite element methods (FEMs) applied to a
diverse range of reaction-diffusion equations (RDEs). Beginning with a historical overview of …

The first-passage time probability plays an important role in the reliability assessment of
dynamic systems in random vibrations. To find the solution of the first-passage time …

Networks have become ubiquitous in the modern scientific literature, with recent work
directed at understanding 'temporal networks'—those networks having structure or topology …

Abstract Models of diffusive processes that occur on evolving domains are frequently
employed to describe biological and physical phenomena, such as diffusion within …

The expanding medium is very common in many different fields, such as biology and
cosmology. It brings a nonnegligible influence on particle's diffusion, which is quite different …

We consider the emerging dynamics of a separable continuous time random walk (CTRW)
in the case when the random walker is biased by a velocity field in a uniformly growing …

In this paper, the existence and uniqueness of a solution to a multi-order fractional nonlinear
evolution equations system are studied by applying Banach's Fixed Point Theorem and …

A standard reaction–diffusion equation consists of two additive terms, a diffusion term and a
reaction rate term. The latter term is obtained directly from a reaction rate equation which is …

In recent years, the epidemic model with anomalous diffusion has gained popularity in the
literature. However, when introducing anomalous diffusion into epidemic models, they …

Sequential sampling theory is the dominant theoretical framework for explaining human
decision making behavior. In this theory, the decision process is determined by a stochastic …