STUDY OF GENERALIZED FRACTIONAL DRIFT-DIFFUSION SYSTEM IN BESOV-MORREY SPACES

Abstract

The main focus of this article is to investigate the generalized fractional drift-diffusion system with small initial data in Besov-Morrey spaces. Our goal is to establish the global well-posedness and asymptotic stability of mild solutions for this system. The results obtained in this study have broad applicability in the modeling of various types of fractional parabolic systems. In other words, the techniques developed here can be useful in studying similar types of systems in the future.