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作者:Yan Wang , Yu-Feng Zhang , Zhen-Jiang Liu
来源:[J].Thermal Science(IF 0.838), 2018, Vol.22 (1Part A_2018), pp.23-27塞尔维亚热力工程师协会
摘要:The variational iteration method was originally proposed to solve nonlinear problems of differential equations, this paper shows that it is also a powerful mathematical tool to local fractional differential equations. Two local fractional mKdV equations are used as examples to re...
作者:Xiao-Jun Yang , Dumitru Baleanu
来源:[J].Thermal Science(IF 0.838), 2013, Vol.17 (2), pp.625-628塞尔维亚热力工程师协会
摘要:This paper points out a novel local fractional variational iteration method for processing the local fractional heat conduction equation arising in fractal heat transfer.
作者:Dumitru Baleanu , Hassan Kamil Jassim , Hasib Khan
来源:[J].Thermal Science(IF 0.838), 2018, Vol.22 (Supplement 1 2037), pp.S165-S175塞尔维亚热力工程师协会
摘要:In this paper, we apply a new technique, namely local fractional variational iteration transform method on homogeneous/non-homogeneous non-linear gas dynamic and coupled KdV equations to obtain the analytical approximate solutions. The iteration procedure is based on local fractional...
作者:Ali H. Bhrawy , Dumitru Baleanu , Fouad Mallawi
来源:[J].Thermal Science(IF 0.838), 2015, Vol.19 (Supplement 1), pp.S25-S34塞尔维亚热力工程师协会
摘要:In this paper, we are concerned with the fractional sub-diffusion equation with a non-linear source term. The Legendre spectral collocation method is introduced together with the operational matrix of fractional derivatives (described in the Caputo sense) to solve the fractional ...
作者:Shu Xu , Xiang Ling , Yang Zhao ...
来源:[J].Thermal Science(IF 0.838), 2015, Vol.19 (Supplement 1), pp.S99-S103塞尔维亚热力工程师协会
摘要:In this work, the local fractional variational iteration method is employed to obtain approximate analytical solution of the two-dimensional diffusion equation in fractal heat transfer with help of local fractional derivative and integral operators.

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