全部文献期刊学位论文会议报纸专利标准年鉴图书|学者科研项目
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作者:Wei-Hua Su , Dumitru Baleanu , Xiao-Jun Yang ...
来源:[J].Fixed Point Theory and Applications(IF 1.866), 2013, Vol.2013 (1), pp.1-11Springer
摘要:Abstract(#br)In this paper, the local fractional variational iteration method is given to handle the damped wave equation and dissipative wave equation in fractal strings. The approximation solutions show that the methodology of local fractional variational iteration method is an...
作者:Wang Yan , Zhang Yu-Feng , Liu Zhen-Jiang
来源:[J].Thermal Science(IF 0.838), 2018, Vol.22 (1 Part A), pp.23-27DOAJ
摘要:The variational iteration method was originally proposed to solve non-linear problems of differential equations, this paper shows that it is also a powerful mathematical tool to local fractional differential equations. Two local fractional modified Korteweg-de Vries equations are...
作者:Baojian Hong , Dianchen Lu , Wei Chen
来源:[J].Advances in Difference Equations(IF 0.76), 2019, Vol.2019 (1), pp.1-10Springer
摘要:Abstract(#br)In this paper, by introducing the fractional derivatives in the sense of Caputo, the modified general mapping deformation method (MGMDM) and the modified fractional variational iteration method (MFVIM) are applied to obtain some exact and approximate solutions of...
作者:Jie Ji , Jianbing Zhang , Yajuan Dong
来源:[J].Applied Mathematics Letters(IF 1.501), 2012, Vol.25 (12), pp.2223-2226Elsevier
摘要:Abstract(#br)In this work, an improved version of the fractional variational iteration method is presented, for solving fractional initial value problems. The nonlinear terms of fractional differential equations are linearized via the famous Adomian series. The fractional differe...
作者:Guo-cheng Wu
来源:[J].Computers and Mathematics with Applications(IF 2.069), 2010, Vol.61 (8), pp.2186-2190Elsevier
摘要:Abstract(#br)Recently, fractional differential equations have been investigated by employing the famous variational iteration method. However, all the previous works avoid the fractional order term and only handle it as a restricted variation. A fractional variational iteration method...
作者:Guo-cheng Wu , E.W.M. Lee
来源:[J].Physics Letters A(IF 1.766), 2010, Vol.374 (25), pp.2506-2509Elsevier
摘要:Abstract(#br)Fractional differential equations have been investigated by variational iteration method. However, the previous works avoid the term of fractional derivative and handle them as a restricted variation. We propose herein a fractional variational iteration method with m...
作者:Shimin Guo , Liquan Mei
来源:[J].Physics Letters A(IF 1.766), 2011, Vol.375 (3), pp.309-313Elsevier
摘要:Abstract(#br)In this Letter, by introducing He's polynomials in the correct functional, we propose a new fractional variational iteration method to solve nonlinear time-fractional partial differential equations involving Jumarie's modified Riemann–Liouville derivative. Seve...
作者:Derya Doğan Durgun , Ali Konuralp
来源:[J].Thermal Science(IF 0.838), 2018, Vol.22 (Supplement), pp.S33-S46塞尔维亚热力工程师协会
摘要:In this paper, time-fractional non-linear partial differential equation with proportional delays are solved by fractional variational iteration method taking into account modified Riemann-Liouville fractional derivative. The numerical solutions which are calculated by using this ...
作者:Yasir Khan , Naeem Faraz , Ahmet Yildirim ...
来源:[J].Computers and Mathematics with Applications(IF 2.069), 2011, Vol.62 (5), pp.2273-2278Elsevier
摘要:Abstract(#br)In this paper, we suggest a fractional functional for the variational iteration method to solve the linear and nonlinear fractional order partial differential equations with fractional order initial and boundary conditions by using the modified Riemann–Liouville fractional...
作者:Li Chen , Yang Zhao , Hossein Jafari ...
来源:[J].Abstract and Applied Analysis(IF 1.102), 2014, Vol.2014DOAJ
摘要:The local fractional Poisson equations in two independent variables that appear in mathematical physics involving the local fractional derivatives are investigated in this paper. The approximate solutions with the nondifferentiable functions are obtained by using the local fractional variational iteration method...

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