A fractional order nonlinear dynamical model of interpersonal relationships

被引:24
|
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 50 条
  • [41] Analysis of Fractional-Order Nonlinear Dynamical Systems by Using Different Techniques
    Manoj Singh
    Mukesh Pal Singh
    Mohammad Tamsir
    Mohammad Asif
    International Journal of Applied and Computational Mathematics, 2025, 11 (2)
  • [42] On nonlinear classical and fractional order dynamical system addressing COVID-19
    Shah, Kamal
    Din, Rahim Ud
    Deebani, Wejdan
    Kumam, Poom
    Shah, Zahir
    RESULTS IN PHYSICS, 2021, 24
  • [43] Study of fractional order dynamics of nonlinear mathematical model
    Shah, Kamal
    Ali, Amjad
    Zeb, Salman
    Khan, Aziz
    Alqudah, Manar A.
    Abdeljawad, Thabet
    ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (12) : 11211 - 11224
  • [44] Approximate solution for the nonlinear fractional order mathematical model
    Mahreen, Kahkashan
    Ain, Qura Tul
    Rahman, Gauhar
    Abdalla, Bahaaeldin
    Shah, Kamal
    Abdeljawad, Thabet
    AIMS MATHEMATICS, 2022, 7 (10): : 19267 - 19286
  • [45] On nonlinear dynamics of a fractional order monkeypox virus model
    El-Mesady, A.
    Elsonbaty, Amr
    Adel, Waleed
    CHAOS SOLITONS & FRACTALS, 2022, 164
  • [46] Chaos in a Fractional-Order Dynamical Model of Love and Its Control
    Cu, Rencai
    Xu, Yong
    NONLINEAR MATHEMATICS FOR UNCERTAINTY AND ITS APPLICATIONS, 2011, 100 : 349 - 356
  • [47] Impact of quarantine on fractional order dynamical model of Covid-19
    Singh, Ram
    Tiwari, Prayag
    Band, Shahab S.
    Rehman, Attiq U.
    Mahajan, Shubham
    Ding, Yijie
    Liu, Xiaobin
    Pandit, Amit Kant
    COMPUTERS IN BIOLOGY AND MEDICINE, 2022, 151
  • [48] DYNAMICAL ANALYSIS OF THE CONFORMABLE FRACTIONAL ORDER HOST-PARASITE MODEL
    Sisman, Seyma
    Merdan, Mehmet
    PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2022, 23 (02): : 123 - 132
  • [49] Dynamical study of a time fractional nonlinear Schrodinger model in optical fibers
    Shakeel, Muhammad
    Bibi, Aysha
    Alqahtani, Salman A.
    Alawwad, Abdulaziz M.
    OPTICAL AND QUANTUM ELECTRONICS, 2023, 55 (11)
  • [50] A Numerical Study of the Fractional Order Dynamical Nonlinear Susceptible Infected and Quarantine Differential Model Using the Stochastic Numerical Approach
    Botmart, Thongchai
    Sabir, Zulqurnain
    Raja, Muhammad Asif Zahoor
    Weera, Wajaree
    Sadat, Rahma
    Ali, Mohamed R.
    FRACTAL AND FRACTIONAL, 2022, 6 (03)