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

被引：0
|
作者：
Le Dinh Long [1 ]
Donal, O'regan [2 ]
机构：
[1] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot City 75000, Binh Duong Prov, Vietnam
[2] Univ Galway, Sch Math & Stat Sci, Galway H91 TK33, Ireland
来源：
MATHEMATICS | 2022年 / 10卷 / 21期
关键词：
fractional diffusion equation; Riemman-Liouville; regularity; convergence rate; DIFFERENTIAL-EQUATIONS;
D O I：
10.3390/math10214026
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：13
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