메뉴 건너뛰기




Volumn 62, Issue 3, 2011, Pages 996-1002

An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus i (HTLV-I) infection of CD 4 + T-cells

Author keywords

Differential transform method; Fractional differential equations; HTLV I infection; Numerical solution

Indexed keywords

APPROXIMATE SOLUTION; DIFFERENTIAL EQUATION MODEL; DIFFERENTIAL SYSTEMS; DIFFERENTIAL TRANSFORM METHOD; FRACTIONAL DIFFERENTIAL EQUATIONS; FRACTIONAL ORDER; HTLV-I INFECTION; HUMAN T CELLS; MULTI-STEP; NUMERICAL SOLUTION; SIMPLE MODIFICATIONS; T CELLS; TIME STEP;

EID: 79961010355     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2011.03.091     Document Type: Article
Times cited : (67)

References (24)
  • 1
    • 84977255207 scopus 로고
    • Linear models of dissipation whose Q is almost frequency independent-II
    • M. Caputo Linear models of dissipation whose Q is almost frequency independent-II Geophysical Journal of the Royal Astronomical Society 13 5 1967 529 539
    • (1967) Geophysical Journal of the Royal Astronomical Society , vol.13 , Issue.5 , pp. 529-539
    • Caputo, M.1
  • 4
    • 0020765202 scopus 로고
    • Theoretical basis for the application of fractional calculus
    • DOI 10.1122/1.549724
    • R.L. Bagley, and P.J. Torvik A theoretical basis for the application of fractional calculus Journal of Rheology 27 1983 201 210 (Pubitemid 13540406)
    • (1983) Journal of Rheology , vol.27 , Issue.3 , pp. 201-210
    • Bagley, R.L.1    Torvik, P.J.2
  • 6
    • 77955299166 scopus 로고    scopus 로고
    • A model of gear transmission: Fractional order system dynamics
    • Article ID 972873
    • K.S. Hedrih, and V.N. Stanojevi A model of gear transmission: fractional order system dynamics Mathematical Problems in Engineering 2010 Article ID 972873
    • (2010) Mathematical Problems in Engineering
    • Hedrih, K.S.1    Stanojevi, V.N.2
  • 7
    • 84922448705 scopus 로고    scopus 로고
    • Nonlinear dynamics of duffing system with fractional order damping
    • J. Cao, C. Ma, H. Xie, and Z. Jiang Nonlinear dynamics of duffing system with fractional order damping Computational and Nonlinear Dynamics 5 4 2010 041012 041018
    • (2010) Computational and Nonlinear Dynamics , vol.5 , Issue.4 , pp. 041012-041018
    • Cao, J.1    Ma, C.2    Xie, H.3    Jiang, Z.4
  • 9
    • 34247477202 scopus 로고    scopus 로고
    • On fractional order differential equations model for nonlocal epidemics
    • DOI 10.1016/j.physa.2007.01.010, PII S0378437107000623
    • E. Ahmed, and A.S. Elgazzar On fractional order differential equations model for nonlocal epidemics Physica A: Statistical Mechanics and its Applications 379 2 2007 607 614 (Pubitemid 46654665)
    • (2007) Physica A: Statistical Mechanics and its Applications , vol.379 , Issue.2 , pp. 607-614
    • Ahmed, E.1    Elgazzar, A.S.2
  • 10
    • 74149092289 scopus 로고    scopus 로고
    • On some qualitative properties for solutions of a certain two-dimensional fractional differential systems
    • Q.H. Ma, and J. Peari On some qualitative properties for solutions of a certain two-dimensional fractional differential systems Computers & Mathematics with Applications 59 3 2010 1294 1299
    • (2010) Computers & Mathematics with Applications , vol.59 , Issue.3 , pp. 1294-1299
    • Ma, Q.H.1    Peari, J.2
  • 12
    • 33748319683 scopus 로고    scopus 로고
    • Global stability and periodic solution of a model for HTLV-I infection and ATL progression
    • DOI 10.1016/j.amc.2005.12.022, PII S0096300305011355
    • X. Song, and Y. Li Global stability and periodic solution of a model for HTLV-I infection and ATL progression Applied Mathematics and Computation 180 2006 401 410 (Pubitemid 44331357)
    • (2006) Applied Mathematics and Computation , vol.180 , Issue.1 , pp. 401-410
    • Song, X.1    Li, Y.2
  • 13
    • 0041560126 scopus 로고    scopus 로고
    • Population dynamics of HTLV-I infection: A discrete-time mathematical, epidemic model approach
    • N. Eshima, M. Tabata, T. Okada, and S. Karukaya Population dynamics of HTLV-I infection: a discrete-time mathematical, epidemic model approach Mathematical Medicine and Biology 20 1 2003 29 45
    • (2003) Mathematical Medicine and Biology , vol.20 , Issue.1 , pp. 29-45
    • Eshima, N.1    Tabata, M.2    Okada, T.3    Karukaya, S.4
  • 15
    • 0032851132 scopus 로고    scopus 로고
    • Modeling the T-cell dynamics and pathogenesis of HTLV-I infection
    • DOI 10.1006/bulm.1999.0117
    • N.I. Stilianakis, and J. Seydel Modeling the T-cell dynamics and pathogenesis of HTLV-I Infection Bulletin of Mathematical Biology 61 5 1999 935 947 (Pubitemid 29480062)
    • (1999) Bulletin of Mathematical Biology , vol.61 , Issue.5 , pp. 935-947
    • Stilianakis, N.I.1    Seydel, J.2
  • 18
    • 8744256462 scopus 로고    scopus 로고
    • + T-cells
    • DOI 10.1016/j.crvi.2004.05.011, PII S163106910400191X
    • + T-cells Comptes Rendus Biologies 327 2004 1009 1016 (Pubitemid 39517684)
    • (2004) Comptes Rendus - Biologies , vol.327 , Issue.11 , pp. 1009-1016
    • Katri, P.1    Ruan, S.2
  • 19
    • 39449122795 scopus 로고    scopus 로고
    • Generalized differential transform method: Application to differential equations of fractional order
    • DOI 10.1016/j.amc.2007.07.068, PII S0096300307007916
    • Z. Odibat, S. Momani, and V.S. Ertrk Generalized differential transform method: application to differential equations of fractional order Applied Mathematics and Computation 197 2008 467 477 (Pubitemid 351273764)
    • (2008) Applied Mathematics and Computation , vol.197 , Issue.2 , pp. 467-477
    • Odibat, Z.1    Momani, S.2    Erturk, V.S.3
  • 20
    • 47849126401 scopus 로고    scopus 로고
    • A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula
    • S. Momani, and Z. Odibat A novel method for nonlinear fractional partial differential equations: combination of DTM and generalized Taylor's formula Journal of Computational and Applied Mathematics 220 2008 85 95
    • (2008) Journal of Computational and Applied Mathematics , vol.220 , pp. 85-95
    • Momani, S.1    Odibat, Z.2
  • 21
    • 36549063424 scopus 로고    scopus 로고
    • A generalized differential transform method for linear partial differential equations of fractional order
    • DOI 10.1016/j.aml.2007.02.022, PII S0893965907001279
    • Z. Odibat, and S. Momani A generalized differential transform method for linear partial differential equations of fractional order Applied Mathematics Letters 21 2008 194 199 (Pubitemid 350181314)
    • (2008) Applied Mathematics Letters , vol.21 , Issue.2 , pp. 194-199
    • Odibat, Z.1    Momani, S.2
  • 22
    • 39149140685 scopus 로고    scopus 로고
    • Application of generalized differential transform method to multi-order fractional differential equations
    • DOI 10.1016/j.cnsns.2007.02.006, PII S1007570407000329
    • V.S. Ertrk, S. Momani, and Z. Odibat Application of generalized differential transform method to multi-order fractional differential equations Communications in Nonlinear Science and Numerical Simulation 13 2008 1642 1654 (Pubitemid 351250728)
    • (2008) Communications in Nonlinear Science and Numerical Simulation , vol.13 , Issue.8 , pp. 1642-1654
    • Erturk, V.S.1    Momani, S.2    Odibat, Z.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.