HYERS-ULAM STABILITY OF A CLASS OF FRACTIONAL LINEAR DIFFERENTIAL EQUATIONS

被引：9
|
作者：
Wang, Chun [1 ,2 ]
Xu, Tian-Zhou [1 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
[2] Changzhi Univ, Dept Math, Changzhi 046011, Shanxi, Peoples R China
来源：
KODAI MATHEMATICAL JOURNAL | 2015年 / 38卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Hyers-Ulam stability; Laplace transform method; fractional differential equations; Riemann-Liouville fractional derivatives; FUNCTIONAL-EQUATION; 1ST-ORDER;
D O I：
10.2996/kmj/1446210592
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the Hyers-Ulam stability of a class of fractional linear differential equations. Applying the Laplace transform method, we prove that a class of fractional linear differential equations with Riemann-Liouville fractional derivatives is Hyers-Ulam stable. The results improve and extend some recent results.
引用
收藏
页码：510 / 520
页数：11
相关论文
共 50 条
  • [21] ON HYERS-ULAM STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS
    Huang, Jinghao H
    Jung, Soon-Mo
    Li, Yongjin
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (02) : 685 - 697
  • [22] Hyers-Ulam stability of hypergeometric differential equations
    Abdollahpour, Mohammad Reza
    Rassias, Michael Th
    [J]. AEQUATIONES MATHEMATICAE, 2019, 93 (04) : 691 - 698
  • [23] ON THE HYERS-ULAM STABILITY OF DELAY DIFFERENTIAL EQUATIONS
    Ogrekci, Suleyman
    Basci, Yasemin
    Misir, Adil
    [J]. MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2022, 85 : 133 - 142
  • [24] On the Hyers-Ulam stability of the linear differential equation
    Popa, Dorian
    Rasa, Ioan
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) : 530 - 537
  • [25] Hyers-Ulam stability of linear partial differential equations of first order
    Jung, S. -M.
    [J]. APPLIED MATHEMATICS LETTERS, 2009, 22 (01) : 70 - 74
  • [26] Hyers-Ulam Stability of Linear Differential Equations of First Order, I
    Jung, Soon-Mo
    [J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2007, 7 (F07): : 96 - 100
  • [27] Invariance of Hyers-Ulam stability of linear differential equations and its applications
    Ginkyu Choi
    Soon-Mo Jung
    [J]. Advances in Difference Equations, 2015
  • [28] HYERS-ULAM STABILITY OF LINEAR QUATERNION-VALUED DIFFERENTIAL EQUATIONS
    Lv, Jiaojiao
    Wang, Jinrong
    Liu, Rui
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 2023 (21) : 1 - 15
  • [29] LAPLACE TRANSFORM AND GENERALIZED HYERS-ULAM STABILITY OF LINEAR DIFFERENTIAL EQUATIONS
    Alqifiary, Qusuay H.
    Jung, Soon-Mo
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
  • [30] Invariance of Hyers-Ulam stability of linear differential equations and its applications
    Choi, Ginkyu
    Jung, Soon-Mo
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015,
12345