Introducing the Müntz-Kajani wavelet and its application in the numerical solution of an HIV infection of CD۴^+T cells model

In this paper, we introduce the Müntz--Kajani wavelet. We also study how to approximate a function using these wavelets and provide an error bound. We then use a collocation method based on the Müntz--Kajani wavelet to numerically solve a system of fractional differential equations. The accuracy of the numerical solution is also assessed. To show how well the method works in practice, we apply it to investigate how HIV infects CD۴^+T cells. Numerical results are also presented to demonstrate the efficiency and Cauchy convergence of the proposed method.

کلیدواژه ها:

Müntz-Kajani wavelet ، Fractional differential equations ، Collocation method ، Approximation of the solution ، Model of infected CD۴^+T cells by HIV