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

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).

References

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Published

2024 Jun 17

Issue

Vol. 2 No. 2 (2024)

Section

Research Article

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This work is licensed under a Creative Commons Attribution 4.0 International License.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

How to Cite

[1]

“On the convergence result for pseudo-parabolic equations with fractional time derivatives”, Electron. J. Appl. Math., vol. 2, no. 2, pp. 32–38, Jun. 2024, doi: 10.61383/ejam.20242267.

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