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- MakaleAçık Erişim2013Scopus SJRQ2On numerical solution to fractional non-linear oscillatory equations
Merdan, Mehmet; Gökdoǧan, Ahmet; Yildirim, Ahmet
In this article, the multi-step differential transform method (MsDTM) is applied to give approximate solutions of nonlinear ordinary differential equation such as fractional-non-linear oscillatory and vibration equations. The results indicate that the method is very effective and sufficient for solving non-linear differential equations of fractional order.
AtıfScopus14WoS11OpenAlex11İncele - MakaleAçık Erişim2011Solving a fractional order model of HIV infection of CD4+ T cells
Gokdogan, Ahmet; Yildirim, Ahmet; Merdan, Mehmet
In this paper, a multi-step differential transform method (MsDTM) is performed to give approximate and analytical solutions of nonlinear fractional order ordinary differential equation systems such as a model for HIV infection of CD4+ T cells. The numerical solutions obtained from the proposed method indicate that the approach is easy to implement and accurate when applied to systems of fractional differential equations. Some figures are presented to show the reliability and simplicity of the methods.
AtıfScopus79WoS59OpenAlex71İncele
