메뉴 건너뛰기




Volumn 78, Issue 2, 2012, Pages 233-243

Analytical approximate solution to the time-space nonlinear partial fractional differential equations

Author keywords

Caputo derivative; Fractional cubic nonlinear equation; Homotopy analysis method

Indexed keywords


EID: 84863608050     PISSN: 13118080     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (24)

References (18)
  • 3
    • 0003548431 scopus 로고    scopus 로고
    • The initial-value problem for some fractional differential equations with Caputo derivative
    • Freie Universitat, Berlin
    • Y. Luchko, R. Gorenflo, The initial-value problem for some fractional differential equations with Caputo derivative, Preprint Series A08-98, Fachbereich Mathematik and Informatic, Freie Universitat, Berlin (1998).
    • (1998) Preprint Series A08-98, Fachbereich Mathematik and Informatic
    • Luchko, Y.1    Gorenflo, R.2
  • 5
    • 46749134732 scopus 로고    scopus 로고
    • Solving multi-term linear and non-linear diffusion wave equations of fractional order by Adomain decomposition method
    • V. Daftardar-Gejji, S. Bhalekar, Solving multi-term linear and non-linear diffusion wave equations of fractional order by Adomain decomposition method, App. Math. Comput., 202(2008), 113-120.
    • (2008) App. Math. Comput. , vol.202 , pp. 113-120
    • Daftardar-Gejji, V.1    Bhalekar, S.2
  • 6
    • 34248373867 scopus 로고    scopus 로고
    • Solving a multi-order fractional differential equation using adomian decomposition
    • DOI 10.1016/j.amc.2006.11.129, PII S0096300306016274
    • V. Daftardar-Gejji, H. Jafari, Solving a multi-order fractional differential equation using Adomain decomposition method, Appl. Math. Comput., 189(2007), 541-548. (Pubitemid 46734260)
    • (2007) Applied Mathematics and Computation , vol.189 , Issue.1 , pp. 541-548
    • Daftardar-Gejji, V.1    Jafari, H.2
  • 7
    • 35349007940 scopus 로고    scopus 로고
    • Numerical studies for a multiorder fractional differential equation
    • N. H. Sweilam, M. M. Khader, R. F. Al-Bar, Numerical studies for a multiorder fractional differential equation, Phys. Lett. A, 371(2007), 26-33.
    • (2007) Phys. Lett. A , vol.371 , pp. 26-33
    • Sweilam, N.H.1    Khader, M.M.2    Al-Bar, R.F.3
  • 8
    • 79953758205 scopus 로고    scopus 로고
    • Fractional calculus - A new approach to the analysis of generalized fourth-order diffusion-wave equations
    • In Press
    • A. Golbabai, K. Sayevand, Fractional calculus - A new approach to the analysis of generalized fourth-order diffusion-wave equations, Comput. Math. Appl. (2011), In Press.
    • (2011) Comput. Math. Appl.
    • Golbabai, A.1    Sayevand, K.2
  • 9
    • 77953205877 scopus 로고    scopus 로고
    • The homotopy perturbation method for multiorder time fractional differential equations
    • A. Golbabai, K. Sayevand, The homotopy perturbation method for multiorder time fractional differential equations, Nonlinear Sci. Lett. A (2010), 147-154.
    • (2010) Nonlinear Sci. Lett. A , pp. 147-154
    • Golbabai, A.1    Sayevand, K.2
  • 11
    • 0000615571 scopus 로고
    • An approximate solution technique which does not depend upon small parameters: A special example
    • S. J. Liao, An approximate solution technique which does not depend upon small parameters: A special example, Int. J. Nonlinear Mech., 30(1995), 371-380.
    • (1995) Int. J. Nonlinear Mech. , vol.30 , pp. 371-380
    • Liao, S.J.1
  • 12
    • 84863633692 scopus 로고    scopus 로고
    • Numerical simulation of the generalized Huxley equation by homotopy analysis method
    • K. Hemida, M. Saad, Numerical simulation of the generalized Huxley equation by homotopy analysis method, Journal of Applied Functional Analysis, 5, No. 4(2010), 344-350.
    • (2010) Journal of Applied Functional Analysis , vol.5 , Issue.4 , pp. 344-350
    • Hemida, K.1    Saad, M.2
  • 13
    • 84863622843 scopus 로고    scopus 로고
    • Application of homotopy analysis method to fractional order generalized Huxley equation
    • M. Saad, Application of homotopy analysis method to fractional order generalized Huxley equation, Journal of Applied Functional Analysis, 7, No. 4(2012), 367-373.
    • (2012) Journal of Applied Functional Analysis , vol.7 , Issue.4 , pp. 367-373
    • Saad, M.1
  • 14
    • 84863627474 scopus 로고    scopus 로고
    • Analytic approximations for fractional-order Newton-Leipnik system
    • M. Saad, Analytic approximations for fractional-order Newton-Leipnik system, Journal of Advanced Research in Scientific Computing, 3(2011), 56-69.
    • (2011) Journal of Advanced Research in Scientific Computing , vol.3 , pp. 56-69
    • Saad, M.1
  • 16
    • 84863629546 scopus 로고    scopus 로고
    • White noise functional solutions for the Wick-type stochastic fractional Kdv-Burgers-Kuramoto equations
    • To Appear
    • Hossam A. Ghany, Mohamed S. Mohamed, White noise functional solutions for the Wick-type stochastic fractional Kdv-Burgers-Kuramoto equations, Journal of the Chinese Journal of Physics, To Appear.
    • Journal of the Chinese Journal of Physics
    • Ghany, H.A.1    Mohamed, M.S.2
  • 17
    • 67649333430 scopus 로고    scopus 로고
    • Two-dimensional differential transform method for solving linear and non-linear Schrodinger equations
    • A. S. V. Kanth, K. Aruna, Two-dimensional differential transform method for solving linear and non-linear Schrodinger equations, Chaos, Solitons and Fractals, 41, No. 5(2009), 2277-2281.
    • (2009) Chaos, Solitons and Fractals , vol.41 , Issue.5 , pp. 2277-2281
    • Kanth, A.S.V.1    Aruna, K.2
  • 18
    • 84863627476 scopus 로고    scopus 로고
    • Approximate solution to the time-space fractional cubic nonlinear Schrodinger equation
    • In Press
    • Mohamed A. E. Herzallah, Khaled A. Gepreel, Approximate solution to the time-space fractional cubic nonlinear Schrodinger equation, Appl. Math. Modeling (2012), In Press.
    • (2012) Appl. Math. Modeling
    • Herzallah, M.A.E.1    Gepreel, K.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.