شماره ركورد كنفرانس :
4091
عنوان مقاله :
Application of fractional differential transform method and Adomian polynomials to fractional order Riccati differential equations
پديدآورندگان :
Hesameddini Esmail Department of Mathematics, Shiraz University of Technology, Shiraz, Iran , Naeimi jahromi Farshid farshidnaimi@gmail.com Department of Mathematics, Shiraz University of Technology, Shiraz, Iran , Shahbazi Mehdi Department of Mathematics, Shiraz University of Technology, Shiraz, Iran
كليدواژه :
Fractional differential transform method , nonlinear equations , Adomian polynomials , Riccati differential equation
عنوان كنفرانس :
ششمين سمينار آناليز عددي و كاربردهاي آن
چكيده فارسي :
In this paper, fractional differential transform method (FDTM) is proposed for the closed
form solutions of linear and nonlinear fractional Riccati differential equation. In this technique,
the nonlinear term is replaced by its Adomian polynomial of index k. Then the dependent
variable components are replaced in a recurrence relation by their corresponding differential
transform of the same index. Finally, the numerical experiment is presented to show the
excellent behavior and high accuracy of the proposed method in comparison with some other
well-known methods.
