期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Exact Solutions of Fractional-Order Biological Population Model 被引量：13

Exact Solutions of Fractional-Order Biological Population Model
下载PDF
导出
摘要 In this paper, the Adomian＇s decomposition method （ADM） is presented for finding the exact solutions of a more general biological population models. A new solution is constructed in power series. The fractional derivatives are described in the Caputo sense. To illustrate the reliability of the method, some examples are provided.
作者 A.M.A.El-Sayed S.Z.Rida A.A.M.Arafa
机构地区 Department of Mathematics Department of Mathematics
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第12期992-996,共5页 理论物理通讯（英文版）
关键词 biological populations model fractional Calculus decomposition method Mittag-Leffier function 生物种群模型 分数阶 精确解 ADM 分解法 幂级数 可靠性
分类号 O242.1 [理学—计算数学]
  • 相关文献

参考文献21

  • 1F. Shakeri and M. Dehghan, Comput. Math. Appl. 54 (2007) 1197.
  • 2M.J. Ablowitz and H. Segur, Solitons and the Inverse Scattering Transformation, SIAM, Philadelphia (1981).
  • 3G.B. Whitham, Linear and Nonlinear Waves, John Wiley, New York (1974).
  • 4M. Tajiri and Y. Murakami, Phys. Lett. A 134 (1990) 217.
  • 5G. Adomian, Solving Frontier Problems of Physics: The Decomposition Method, Kluwer, Academic, Dordrecht (1994).
  • 6G. Adomain, Math. Anal. Appl. 135 (1988) 501.
  • 7Y.G. Lu, Appl: Math. Lett. 13 (2000) 123.
  • 8M.E. Gurtin and R.C. MacCamy, Math. Biosc. 33 (1977) 35.
  • 9J. Bear, Dynamics of Fluids in Porous Media, American Elsevier, New York (1972).
  • 10A. Okubo, Diffusion and Ecological Problem, Mathematical Models, Biomathematics 10, Springer, Berlin (1980).

同被引文献31

  • 1HongGuang Sun,Wen Chen.Fractal derivative multi-scale model of fluid particle transverse accelerations in fully developed turbulence[J].Science China(Technological Sciences),2009,52(3):680-683. 被引量：5
  • 2潘军廷,范梦慧,龚伦训.非线性单摆的Jacobi椭圆函数解[J].大学物理,2006,25(11):23-26. 被引量：8
  • 3Sabatier J,Agrawal O P,Tenreiro Machado J A.Advances in fractional calculus:theoretical developments and applications in physics and engineering[M].[S.l.]:Springer,2007.
  • 4Baleanu D,Diethelm K,Scalas E,et al.Fractional calculus models and numerical methods in series on complexity,nonlinearity and chaos[C].World Scientific,Singapore,2012.
  • 5Liu Y Q,Xin B G.Numerical solutions of a fractional predator-prey system[J].Advances in Difference Equations,2011,190475.
  • 6Ma J H,Liu Y Q.Exact solutions for a generalized nonlinear fractional Fokker-Planck equation[J].Nonlinear Analysis:Real World Applications,2010,11(1):515-521.
  • 7Liu J C,Hou G L.Numerical solutions of the space-and time-fractional coupled Burgers equations by generalized differential transform method[J].Applied Mathematics and Computation,2011,217(16):7001-7008.
  • 8Erturk V S,Yildirim A,Momanic S.The differential transform method and Pade approximants for a fractional population growth model[J].International Journal of Numerical Methods for Heat&Fluid Flow,2012,22(6/7):791-802.
  • 9He J H.Homotopy perturbation method:a new nonlinear analytical technique[J].Applied Mathematics and Computation,2003,135(1):73-79.
  • 10Yildirim A.Application of the homotopy perturbation method for the Fokker-Planck equation[J].International Journal for Numerical Methods in Biomedical Engineering,2010,26(9):1144-1154.

引证文献13

二级引证文献28

Communications in Theoretical Physics
2009年 第12期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部