Computational study of fractional order smoking model

被引:18
|
作者
Singh, Harendra [1 ]
Baleanu, Dumitru [2 ,3 ,6 ]
Singh, Jagdev [4 ]
Dutta, Hemen [5 ]
机构
[1] Postgrad Coll, Dept Math, Ghazipur 233001, Uttar Pradesh, India
[2] Cankaya Univ, Dept Math, Ankara, Turkey
[3] Inst Space Sci, Magurele, Romania
[4] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India
[5] Gauhati Univ, Dept Math, Gauhati 781014, India
[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
关键词
Fractional smoking model; Stability analysis; Fractional calculus; Numerical method;
D O I
10.1016/j.chaos.2020.110440
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Smoking is a very challenging problem the world is facing every day. It contributes to deaths and major health problems to millions of people every year around the world. A lot of work has been devoted to study how to minimize smoking in the society. Here we study non-integer order smoking model using an iterative scheme which is combination of discretization of domain and short memory principle. We will also discuss stability of the proposed model and used iterative scheme. CPU time is listed in tabular to show the efficiency and figures are used to show behaviour of solution in long time. The proposed technique has high accuracy and low computational cost. Using figures fractional time behaviour of solution is also plotted. (C) 2020 Published by Elsevier Ltd.
引用
收藏
页数:7
相关论文
共 50 条
  • [31] Numerical solution of fractional order smoking model via laplace Adomian decomposition method
    Haq, Fazal
    Shah, Kamal
    Rahman, Ghaus Ur
    Shahzad, Muhammad
    ALEXANDRIA ENGINEERING JOURNAL, 2018, 57 (02) : 1061 - 1069
  • [32] A numerical study of fractional order population dynamics model
    Jafari, H.
    Ganji, R. M.
    Nkomo, N. S.
    Lv, Y. P.
    RESULTS IN PHYSICS, 2021, 27
  • [33] 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
  • [34] Study on the stability of fractional order Ebola virus model
    Wei, Changcheng
    Fang, Juanyan
    INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2018, 9 (03) : 298 - 307
  • [35] An efficient computational approach for a fractional-order biological population model with carrying capacity
    Srivastava, H. M.
    Dubey, V. P.
    Kumar, R.
    Singh, J.
    Kumar, D.
    Baleanu, D.
    CHAOS SOLITONS & FRACTALS, 2020, 138
  • [36] A computational approach with residual error analysis for the fractional-order biological population model
    Gokmen, Elcin
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2021, 15 (01): : 218 - 225
  • [37] Computational analysis and chaos control of the fractional order syphilis disease model through modeling
    Farman, Muhammad
    Nisar, Kottakkaran Sooppy
    Shehzad, Aamir
    Baleanu, Dumitru
    Amjad, Ayesha
    Sultan, Faisal
    AIN SHAMS ENGINEERING JOURNAL, 2024, 15 (06)
  • [38] Using advanced analysis together with fractional order derivative to investigate a smoking tobacco cancer model
    Shah, Ismail
    Eiman
    Alrabaiah, Hussam
    Ozdemir, Burhanettin
    Irshad, Ateeq ur Rehman
    RESULTS IN PHYSICS, 2023, 51
  • [39] Solving smoking epidemic model of fractional order using a modified homotopy analysis transform method
    P. Veeresha
    D. G. Prakasha
    Haci Mehmet Baskonus
    Mathematical Sciences, 2019, 13 : 115 - 128
  • [40] Solving smoking epidemic model of fractional order using a modified homotopy analysis transform method
    Veeresha, P.
    Prakasha, D. G.
    Baskonus, Haci Mehmet
    MATHEMATICAL SCIENCES, 2019, 13 (02) : 115 - 128