کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1864889 | 1037763 | 2008 | 6 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Analysis of a time fractional wave-like equation with the homotopy analysis method Analysis of a time fractional wave-like equation with the homotopy analysis method](/preview/png/1864889.png)
The time fractional wave-like differential equation with a variable coefficient is studied analytically. By using a simple transformation, the governing equation is reduced to two fractional ordinary differential equations. Then the homotopy analysis method is employed to derive the solutions of these equations. The accurate series solutions are obtained. Especially, when ℏf=ℏg=−1ℏf=ℏg=−1, these solutions are exactly the same as those results given by the Adomian decomposition method. The present work shows the validity and great potential of the homotopy analysis method for solving nonlinear fractional differential equations. The basic idea described in this Letter is expected to be further employed to solve other similar nonlinear problems in fractional calculus.
Journal: Physics Letters A - Volume 372, Issue 8, 18 February 2008, Pages 1250–1255