A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells

Document Type : Research Paper


Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran


This paper deals with the application of fourth kind Chebyshev wavelets (FKCW) in solving numerically a model of HIV infection of CD4+T cells involving Caputo fractional derivative. The present problem is a system of nonlinear fractional differential equations. The goal is to approximate the solution in the form of FKCW truncated series. To do this, an operational matrix of fractional integration is constructed for these wavelets. This matrix transforms the problem to a nonlinear system of algebraic equations. Solving the new system, enables one to identify the unknown coeffcients of expansion. Numerical results are compared with other existing methods to illustrate the applicability of the method.


Volume 6, Issue 3
July 2018
Pages 353-371
  • Receive Date: 11 July 2017
  • Revise Date: 16 October 2017
  • Accept Date: 09 May 2018
  • First Publish Date: 01 July 2018