On the Convergence Result for Pseudo-Parabolic Equations with Fractional Time Derivatives

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 Equati...

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Published inElectronic Journal of Applied Mathematics Vol. 2; no. 2; pp. 32 - 38
Main Author O'Regan, Donal
Format Journal Article
LanguageEnglish
Published 17.06.2024
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Summary: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).
ISSN:2980-2474
2980-2474
DOI:10.61383/ejam.20242267