An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4(+) T-cells

Ertürk V. S., Odibat Z. M., Momani S.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.62, sa.3, ss.996-1002, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 62 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.camwa.2011.03.091
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.996-1002
  • Anahtar Kelimeler: HTLV-I infection, Fractional differential equations, Differential transform method, Numerical solution, TRANSFORM METHOD, DYNAMICS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, a fractional order differential system for modeling human T-cell lymphotropic virus I (HTLV-I) infection of CD4(+) T-cells is studied and its approximate solution is presented using a multi-step generalized differential transform method. The method is only a simple modification of the generalized differential transform method, in which it is treated as an algorithm in a sequence of small intervals (i.e. time step) for finding accurate approximate solutions to the corresponding systems. The solutions obtained are also presented graphically. (C) 2011 Elsevier Ltd. All rights reserved.