Year: 2024
Type: article
Abstract: This paper discusses a space-fractional version of the conventional Lengyel–Epstein CIMA reaction model. First, we prove the global existence, uniqueness, and boundedness of a unique solution. We next investigate the system fundamental analytic properties. Following this, we establish the conditions on the reactor size and diffusion coefficient such that the system does not allow positive steady-state solutions that are not constant. Finally, the stability of constant steady-state solutions for ODE and PDE models is studied.
Source: Boundary Value Problems
Author: Salim Zidi
Institution: Université Larbi Tébessi
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,790
OpenAlex ID: W4405546174