On the convergence result for pseudo-parabolic equations with fractional time derivatives

Donal O'Regan

doi:10.61383/ejam.20242267

Authors

Donal O'Regan School of Mathematical and Statistical Sciences, University of Galway, H91 TK33 Galway, Ireland https://orcid.org/0000-0002-4096-1469

DOI:

https://doi.org/10.61383/ejam.20242267

Keywords:

Fractional diffusion equation, Riemman--Liouville, convergence rate

Abstract

The main goal of this note is to investigate the convergence of solutions of the pseudo-parabolic equation with the Riemann--Liouville derivative when the order tends to \(1^-\). This paper is a continuation of the paper [L.D. Long, D. O'Regan, {Notes on Convergence Results for Parabolic Equations with Riemann-Liouville Derivatives}, Mathematics, 2022] where a special case of the theory below is presented (see Section 1 for a discussion).

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