This article investigates the implicit Euler–Galerkin finite element method applied to a cancer
invasion model with nonlocal diffusion. This model describes the normal cell density, tumor …

This paper is devoted to study the nonlinear diffusion parabolic partial differential equations,
which describes the invasion of cancer cells into the normal tissues. We prove the existence …

This work illustrate the solvability of the system consist of tumor cells of two types along with
epithelial cells and mesenchymal densities. The role of proteins matrix metalloproteinases …

The main goal of the paper is to establish the solvability of the 3D acid-mediated tumor
growth model combined with the Dirichlet and Neuman boundary conditions in the fractional …

We illustrate the solvability through weak-renormalized solutions for an invasion system of
healthy tissue by a solid tumor under the Dirichlet boundary conditions and the assumptions …

This work deals with the existence of the system consists of coupling dynamics of the two
types of tumor cells among the density of epithelial cells (ECs) and the mesenchymal cells …