Mathematical Oncology investigates cancer-related phenomena through mathematical
models as comprehensive as possible. Accordingly, an interdisciplinary approach involving …

The most dangerous disease of this decade novel coronavirus or COVID-19 is yet not over.
The whole world is facing this threat and trying to stand together to defeat this pandemic …

In this article, we provide numerical simulations to show the importance and the effects of
fractional order derivatives in psychological studies. As it is well-known, complex variables …

ODE-based population models remain viable tools to investigate tumor growth and support
clinical evidence. By following a fractional approach, this study derives analytical solutions …

We propose a two-component reaction-transport model for the migration-proliferation
dichotomy in the spreading of tumor cells. By using a continuous time random walk (CTRW) …

A novel distributed order time fractional model is constructed to solve heat conduction,
anomalous diffusion and viscoelastic flow problems. Solutions of the formulated governing …

Abstract An improved Cattaneo–Christov flux model is proposed which can be used to
capture the effects of the time and spatial relaxations, the time and spatial inhomogeneous …

The diffusion in comb structure is an important kind of anomalous diffusion with widespread
applications. The special structure corresponds to a novel characteristic of anomalous …

In this work, a generalized comb model which includes the memory kernels and linear
reactions with irreversible and reversible parts are introduced to describe complex …

The proliferation and migration dichotomy of the tumor cell invasion is examined within a two-
component continuous time random walk (CTRW) model. The balance equations for the …