Positivity and Stability of the Solutions of Caputo Fractional Linear Time-Invariant Systems of Any Order with Internal Point Delays

被引：25

作者：

De la Sen, M. ^{[1
]}

机构：

[1] Univ Basque Country, Inst Res & Dev Proc, Fac Sci & Technol, Campus Leioa,Aptdo 544, Bilbao 48080, Spain

来源：

ABSTRACT AND APPLIED ANALYSIS | 2011年

关键词：

DIFFERENTIAL-EQUATIONS; DYNAMIC-SYSTEMS; DERIVATIVES; OPERATORS; CALCULUS; SPACE;

D O I：

10.1155/2011/161246

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the investigation of the nonnegative solutions and the stability and asymptotic properties of the solutions of fractional differential dynamic systems involving delayed dynamics with point delays. The obtained results are independent of the sizes of the delays.

引用

页数：25

共 35 条

[1] EXISTENCE OF POSITIVE PERIODIC SOLUTIONS OF PERIODIC BOUNDARY VALUE PROBLEM FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS
Agarwal, R. P.
Sun, Y.
Wong, P. J. Y.
[J]. ACTA MATHEMATICA HUNGARICA, 2010, 129 (1-2) : 166 - 181
[2] On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
Ahmad, Bashir
Sivasundaram, S.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) : 480 - 487
[3] A fractional calculus of variations for multiple integrals with application to vibrating string
Almeida, Ricardo
Malinowska, Agnieszka B.
Torres, Delfim F. M.
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (03)
[4] [Anonymous], 2006, Journal of the Electrochemical Society
[5] A note on fractional derivatives and fractional powers of operators
Ashyralyev, A.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 357 (01) : 232 - 236
[6] On calculus of local fractional derivatives
Babakhani, A
Daftardar-Gejji, V
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 270 (01) : 66 - 79
[7] Space-time fractional derivative operators
Baeumer, B
Meerschaert, MM
Mortensen, J
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (08) : 2273 - 2282
[8] ON SUFFICIENT CONDITIONS FOR STABILITY INDEPENDENT OF DELAY
CHEN, J
XU, DM
SHAFAI, B
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (09) : 1675 - 1680
[9] Das S., 2008, Functional Fractional Calculus for System Identification and Controls
[10] On the uniform exponential stability of a wide class of linear time-delay systems
De la Sen, M
Luo, NS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 289 (02) : 456 - 476

← 1 2 3 4 →