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

Authors :
Le Dinh, Long
Donal, O'regan
Source :
Mathematics (2227-7390). Nov2022, Vol. 10 Issue 21, p4026. 13p.
Publication Year :
2022

Abstract

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*EQUATIONS

Details

Language :
English
ISSN :
22277390
Volume :
10
Issue :
21
Database :
Academic Search Index
Journal :
Mathematics (2227-7390)
Publication Type :
Academic Journal
Accession number :
160207443
Full Text :
https://doi.org/10.3390/math10214026