Haman Deilami Azodi
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
[ 1 ] - A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells
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 integrati...
[ 2 ] - Using shifted Legendre scaling functions for solving fractional biochemical reaction problem
In this paper, biochemical reaction problem is given in the form of a system of non-linear differential equations involving Caputo fractional derivative. The aim is to suggest an instrumental scheme to approximate the solution of this problem. To achieve this goal, the fractional derivation terms are expanded as the elements of shifted Legendre scaling functions. Then, applying operational matr...
[ 3 ] - Application of DJ method to Ito stochastic differential equations
This paper develops iterative method described by [V. Daftardar-Gejji, H. Jafari, An iterative method for solving nonlinear functional equations, J. Math. Anal. Appl. 316 (2006) 753-763] to solve Ito stochastic differential equations. The convergence of the method for Ito stochastic differential equations is assessed. To verify efficiency of method, some examples are ex...
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