Integral inequalities of systems and the estimate for solutions of certain nonlinear two-dimensional fractional differential systems

被引：18

作者：

Ma, Qing-Hua ^{[1
]}

Pecaric, Josip ^{[2
]}

Zhang, Jian-Mei ^{[1
]}

机构：

[1] Guangdong Univ Foreign Studies, Fac Informat Sci & Technol, Guangzhou 510420, Guangdong, Peoples R China

[2] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 11期

关键词：

Fractional order differential systems; Integral inequality; Component-wise priori bounds; Uniqueness; Continuous dependence; EQUATIONS; UNIQUENESS; EXISTENCE; FAMILIES;

D O I：

10.1016/j.camwa.2011.04.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper generalizes the results for the constructions of explicit bounds and the qualitative properties for the solutions of certain two-dimensional fractional differential systems established in a recent paper of the authors. The main generalizations come from an elementary inequality and by means of the modification of Medved's de-singular approach. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：3258 / 3267

页数：10

共 23 条

[1]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[2]

[Anonymous], 2006, Journal of the Electrochemical Society

[3]

[Anonymous], 1919, ANN MATH

[4]

[Anonymous], 1981, INTEGRAL SERIES ELEM

[5]

Bellman R., 1943, Duke Math. J, V10, P643, DOI [DOI 10.1215/S0012-7094-43-01059-2, 10.1215/S0012-7094-43-01059-2]

[6] Analysis of a system of nonautonomous fractional differential equations involving Caputo derivatives [J].

Daftardar-Gejji, Varsha ;

Jafari, Hossein .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (02) :1026-1033

[7] Analysis of fractional differential equations [J].

Diethelm, K ;

Ford, NJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 265 (02) :229-248

[8]

Hsieh TM, 2003, COMPUT MATH APPL, V46, P1483, DOI 10.1016/S0898-1221(03)00377-8

[9] Theory of fractional functional differential equations [J].

Lakshmikantham, V. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) :3337-3343

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

Lakshmikantham, V. ;

Vatsala, A. S. .

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

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