On the Hyers-Ulam stability of Riemann-Liouville multi-order fractional differential equations

被引：6

作者：

Cuong, D. X. ^{[1
]}

机构：

[1] Vietnam Maritime Univ, Dept Math, 484 Lach Tray, Hai Phong, Vietnam

来源：

AFRIKA MATEMATIKA | 2019年 / 30卷 / 7-8期

关键词：

Fractional multi-order systems; Existence and uniqueness solutions; Weighted norm; Fixed point theorem; EXISTENCE;

D O I：

10.1007/s13370-019-00701-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by using a Bielecki's type norm and Banach fixed point theorem, we obtain a result on the Hyers-Ulam stability of Riemann-Liouville multi-order fractional differential equations.

引用

页码：1041 / 1047

页数：7

共 17 条

[1]

Ali Z, 2018, B MALAYS MATH SCI SO

[2]

[Anonymous], 2010, LECT NOTES MATH

[3]

[Anonymous], N HOLLAND MATH STUDI

[4] On the global existence of solutions to a class of fractional differential equations [J].

Baleanu, Dumitru ;

Mustafa, Octavian G. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (05) :1835-1841

[5] Existence, Uniqueness, and Exponential Boundedness of Global Solutions to Delay Fractional Differential Equations [J].

Cong, N. D. ;

Tuan, H. T. .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (05)

[6] ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF LINEAR MULTI-ORDER FRACTIONAL DIFFERENTIAL SYSTEMS [J].

Diethelm, Kai ;

Siegmund, Stefan ;

Tuan, H. T. .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2017, 20 (05) :1165-1195

[7] ON THE EXISTENCE AND UNIQUENESS AND FORMULA FOR THE SOLUTION OF R-L FRACTIONAL CAUCHY PROBLEM IN Rn [J].

Idczak, Dariusz ;

Kamocki, Rafal .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2011, 14 (04) :538-553

[8] Basic theory of fractional differential equations [J].

Lakshmikantham, V. ;

Vatsala, A. S. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) :2677-2682

[9]

Miller K.S., 1993, INTRO FRACTIONAL CAL

[10]

Oldham K. B., 1974, FRACTIONAL CALCULUS, DOI DOI 10.1016/S0076-5392(09)60219-8

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