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《微分方程年刊(英文版)》 2014-01
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SOME PROBLEMS OF FRACTIONAL PARTIAL DIFFERENCE DIFFUSION EQUATIONS

Jinfa Cheng;Dept.of Math.,Xiamen University;  
This paper mainly discusses the problems of fractional variational problems and fractional diffusion problems using fractional difference and summation.Through the Euler finite difference method we get a variational formulation of the variation problem and the discrete solution to the time-fractional and space-fractional difference equation using separating variables method and two-side Z-transform method.
【CateGory Index】: O175
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【Co-citations】
Chinese Journal Full-text Database 9 Hits
1 LI Xiao-Yan;LIU Song;JIANG Wei;School of Mathematical Sciences,Anhui University;;Initial Value Problem of a Class of Fractional Difference Equations[J];Chinese Journal of Engineering Mathematics;2013-06
2 Zhou Yan;Zhang Yi;College of Mathematics and Physics,Suzhou University of Science and Technology;College of Civil Engineering,Suzhou University of Science and Technology;;Fractional Pfaff-Birkhoff Principle and Birkhoff′s Equations in Terms of Riesz Fractional Derivatives[J];南京航空航天大学学报(英文版);2014-01
3 ZHAO Xiao-hong;KANG Shu-gui;GAO Ying;School of Mathematical and Computer Sciences,Shanxi Normal University;School of Mathematical and Computer Sciences,Shanxi Datong University;;Existence and Uniqueness of Solution to A Coupled System of Fractional Difference Equations with Nonlocal Conditions[J];Journal of Biomathematics;2013-02
4 Yansheng HE;Chengmin HOU;Department of Mathematics,Yanbian University;;Existence of Solutions for Discrete Fractional Boundary Value Problems with p-Laplacian Operator[J];数学研究及应用(英文版);2014-02
5 ZHANG Yi(College of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215009,China);Noether Symmetry and Conserved Quantity for a Fractional Action-like Variational Problem in Phase Space[J];Acta Scientiarum Naturalium Universitatis Sunyatseni;2013-04
6 GUO Caixia;GUO Jianmin;KANG Shugui;LI Huapeng;School of Mathematics and Computer Sciences,Shanxi Datong University;;On a Caputo fractional boundary value problem for fractional boundary conditions[J];Journal of Yanbian University(Natural Science Edition);2013-03
7 Yu Zhang;Chengmin Hou;Dept.of Math.,Yanbian University;;ON DISCRETE SEQUENTIAL FRACTIONAL BOUNDARY VALUE PROBLEM WITH FRACTIONAL BOUNDARY CONDITIONS[J];微分方程年刊(英文版);2013-03
8 MENG Xian-qing;CHEN Hui-qin;School of Mathematics and Computer Sciences,Shanxi Datong University;;Existence and Uniqueness of Solutions about Caputo Fractional Difference Equation with Nonlocal Conditions[J];Journal of Shanxi Datong University(Natural Science Edition);2013-05
9 LONG Zixuan;ZHANG Yi;College of Mathematics and Physics,Suzhou University of Science and Technology;College of Civil Engineering,Suzhou University of Science and Technology;;Noether's Theorem for Variational Problem Based on Fractional Integral Extended by Sine Periodic Law[J];Acta Scientiarum Naturalium Universitatis Sunyatseni;2013-05
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