Notes on Convergence Results for Parabolic Equations with Riemann–Liouville Derivatives

Long Le Dinh, O'regan Donal
2022 Mathematics  
Fractional diffusion equations have applications in various fields and in this paper we consider a fractional diffusion equation with a Riemann–Liouville derivative. The main objective is to investigate the convergence of solutions of the problem when the fractional order tends to 1−. Under some suitable conditions on the Cauchy data, we prove the convergence results in a reasonable sense.
doi:10.3390/math10214026 fatcat:frs53sksufc6tppryp74bu2kam