Global Solutions of Coupled Nonlocal Parabolic Systems Arising from Reversible Chemical Reactions

TL;DR

This paper studies coupled fractional reaction-diffusion systems from reversible chemical reactions, proving the global existence of strong solutions using Lyapunov functionals and maximum principles.

Contribution

It introduces a method to establish global solutions for fractional reaction-diffusion systems derived from chemical reactions, expanding understanding of their mathematical behavior.

Findings

Global existence of strong solutions established

Effective use of Lyapunov functionals and maximum principles

Applicable to a class of coupled nonlocal parabolic systems

Abstract

A class of coupled time-space fractional reaction-diffusion systems derived from reversible chemical reactions over a bounded domain is investigated. Employing mainly an appropriate Lyapunov functional and an improved maximum principle, we demonstrate the global-in-time existence of strong solutions under some assumptions on the systems parameters.