A fractional order nonlinear dynamical model of interpersonal relationships

被引：25
作者：
Ozalp, N. [1 ]
Koca, I. [2 ]
机构：
[1] Ankara Univ, Dept Math, Fac Sci, TR-06100 Ankara, Turkey
[2] Gaziantep Univ, Fac Sci, Dept Math, Gaziantep, Turkey
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
关键词：
fractional model; fractional differential equations; stability; numerical solution;
D O I：
10.1186/1687-1847-2012-189
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a fractional order nonlinear dynamical model of interpersonal relationships has been introduced. The stability of equilibrium points is studied. Numerical simulations are also presented to verify the obtained results.
引用
收藏
页数：7
相关论文
共 8 条
[1]   Fractional-order dynamical models of love [J].
Ahmad, Wajdi M. ;
El-Khazali, Reyad .
CHAOS SOLITONS & FRACTALS, 2007, 33 (04) :1367-1375
[2]   Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models [J].
Ahmed, E. ;
El-Sayed, A. M. A. ;
El-Saka, H. A. A. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) :542-553
[3]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[4]   Stochastic nonlinear dynamics of interpersonal and romantic relationships [J].
Barley, Kamal ;
Cherif, Alhaji .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (13) :6273-6281
[5]  
Cherif A., 2009, STOCHASTIC NONLINEAR
[6]   A method for solving differential equations of fractional order [J].
Demirci, Elif ;
Ozalp, Nuri .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (11) :2754-2762
[7]  
Lakshmikantham V., 2007, Commun. Appl. Anal, V11, P395
[8]  
Matignon D., 1996, Symposium on Control, Optimization and Supervision. CESA '96 IMACS Multiconference. Computational Engineering in Systems Applications, P963
1