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分数阶积分-微分方程的迭代解法 被引量：5

Iteration Method for Solving Fractional Order Integro-differential Equations
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摘要 介绍了分数阶积分-微分方程和变分迭代法,并利用变分迭代法求解Caputo型分数阶积分-微分方程,从而表明变分迭代法能很好的求解分数阶积分-微分方程. This paper introduces the fractional order integro-differential equations and the varitational iteration method,by means of varitational iteration method the solution of the fractional order integro-differential equations are exactly obtained.The fractional derivative is considered in the Caputo sense.It is observed that the method can be utilized as a powerful and reliable tool for the solution of fractional integro-differential equations.
作者 王文华 黄得建
机构地区 长沙理工大学数学与计算科学学院 琼州学院理工学院
出处 《琼州学院学报》 2010年第2期1-3,共3页 Journal of Qiongzhou University
关键词 分数阶积分-微分方程 Caputo微分 变分迭代法 拉格朗日乘子 fractional order integro-differential equation caputo derivative variational iteration method lagrange multiplier
分类号 O241 [理学—计算数学]
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参考文献7

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同被引文献33

  • 1傅建辉.高阶具非线性中立项时滞微分方程正解的存在性[J].华南师范大学学报（自然科学版）,2005,37(4):24-27. 被引量：2
  • 2葛美宝,徐定华,王泽文,张文.一类抛物型方程反问题的数值解法[J].东华理工学院学报,2006,29(3):283-288. 被引量：7
  • 3J.Xu,B.Han,L.Li.Frozen Landweber Iteration for Nonlinear Ill-Posed Problems[J].Acta Mathematicae Applicatae Sinica,2007,23(2):329-336. 被引量：8
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  • 5Cannon J R,Lin Y,Xu S.Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic defferential equations[J].Inverse Problem,1994(10):227-243.
  • 6S.Wang,Y.Lin.A finite difference solution to an inverse problem determining a control function in a parabolic partial differential equation[J].Inverse Problem,1989(5):631-640.
  • 7M.Tatari,M.Dehghan.He’s variational iteration method for computing a control parameter in a semi-linear parabolic equation[J].Chaos Solitons Fractals,2007,33(2):671-677.
  • 8Can Baran Emine.Numerical procedures for determining of an unknown parameter in parabolic equation[J].Applied Mathematics and Computation,2005,16(2):1219-1226.
  • 9J H.He.Variational iteration method-Some receant results and new interpretations[J].J Comput Appl Math,2007,207(1):3-17.
  • 10Yongxiang Zhao,Aiguo Xiao.Variational iteration method for singular perturbation initial value problems[J].Computer Physics Communications,2010,181:947-956.

引证文献5

二级引证文献8

琼州学院学报
2010年 第2期

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