THE EXISTENCE OF GLOBAL ATTRACTIVE SOLUTIONS FOR A CLASS OF TEMPERED FRACTIONAL DIFFUSION EQUATIONS

This paper is devoted to the existence and attractiveness of solutions for a class of fractional diffusion equations with slow growth characteristics. The existence of global attractive solutions for this equation is established by the generalized Ascoli-Arzelà theorem. Our results reveal some characteristics of the solutions of the fractional diffusion equations with tempered fractional derivative, and extend the relevant results in existing literature.