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.
引用
收藏
页数：13
相关论文
共 50 条
  • [31] On a terminal value problem for pseudoparabolic equations involving Riemann-Liouville fractional derivatives
    Tran Bao Ngoc
    Zhou, Yong
    O'Regan, Donal
    Nguyen Huy Tuan
    APPLIED MATHEMATICS LETTERS, 2020, 106
  • [32] On the "walking dead" derivatives: Riemann-Liouville and Caputo
    Ortigueira, Manuel D.
    2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA), 2014,
  • [33] THE DEFECT OF A CAUCHY TYPE PROBLEM FOR LINEAR EQUATIONS WITH SEVERAL RIEMANN-LIOUVILLE DERIVATIVES
    Fedorov, V. E.
    Turov, M. M.
    SIBERIAN MATHEMATICAL JOURNAL, 2021, 62 (05) : 925 - 942
  • [34] Stability analysis of nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives
    Khan, Aziz
    Syam, Muhammed I.
    Zada, Akbar
    Khan, Hasib
    EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (07):
  • [35] On coupled impulsive fractional integro-differential equations with Riemann-Liouville derivatives
    Wang, Xiaoming
    Alam, Mehboob
    Zada, Akbar
    AIMS MATHEMATICS, 2021, 6 (02): : 1561 - 1595
  • [36] Stability analysis of nonlinear fractional differential equations with Caputo and Riemann-Liouville derivatives
    Aziz Khan
    Muhammed I. Syam
    Akbar Zada
    Hasib Khan
    The European Physical Journal Plus, 133
  • [37] Regional Enlarged Observability of Fractional Differential Equations with Riemann-Liouville Time Derivatives
    Zouiten, Hayat
    Boutoulout, Ali
    Torres, Delfim F. M.
    AXIOMS, 2018, 7 (04):
  • [38] Convergence analysis of Riemann-Liouville fractional neural network
    Dong, Yumin
    Liao, Wei
    Wu, Mingqiu
    Hu, Wanbin
    Chen, Zhengquan
    Hou, Dong
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (10) : 6378 - 6390
  • [39] Impulsive Multiorders Riemann-Liouville Fractional Differential Equations
    Yukunthorn, Weera
    Ntouyas, Sotiris K.
    Tariboon, Jessada
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
  • [40] SOLVABILITY AND OPTIMAL CONTROL OF SEMILINEAR FRACTIONAL EVOLUTION EQUATIONS WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES
    Xiao, Yu
    Peng, Zijia
    FIXED POINT THEORY, 2022, 23 (02): : 741 - 762
12345