共查询到20条相似文献,搜索用时 31 毫秒
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Based on a general isospectral problem of fractional order and the fractional quadratic-form identity by Yue and Xia, the new integrable coupling of fractional coupled Burgers hierarchy and its fractional bi-Hamiltonian structures are obtained. 相似文献
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In this article,we study isoperimetric problems of the calculus of variations with left and right Riemann-Liouville fractional derivatives. Both situations when the lower bound of the variational integ... 相似文献
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考虑终值数据条件下一维空间-时间分数阶变系数对流扩散方程中同时确定空间微分阶数与时间微分阶数的反问题.基于对空间-时间分数阶导数的离散,给出求解正问题的一个隐式差分格式,通过对系数矩阵谱半径的估计,证明差分格式的无条件稳定性和收敛性.联合最佳摄动量算法和同伦方法引入同伦正则化算法,应用一种单调下降的Sigmoid型传输函数作为同伦参数,对所提微分阶数反问题进行精确数据与扰动数据情形下的数值反演.结果表明同伦正则化算法对于空间-时问分数阶反常扩散的参数反演问题是有效的. 相似文献
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Zheng Dayi Lu Xuanzhu 《Annals of Differential Equations》2005,21(3):518-524
In this paper, a space fractional differential equation is considered. The equation is obtained from the parabolic equation containing advection, diffusion and reaction terms by replacing the second order derivative in space by a fractional derivative in space of order. An implicit finite difference approximation for this equation is presented. The stability and convergence of the finite difference approximation are proved. A fractional-order method of lines is also presented. Finally, some numerical results are given. 相似文献
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PROPERTIES OF FRACTIONAL k-FACTORS OF GRAPHS 总被引:1,自引:0,他引:1
In this paper the properties of some maximum fractional [0, k]-factors of graphs are presented. And consequently some results on fractional matchings and fractional 1-factors are generalized and a characterization of fractional k-factors is obtained. 相似文献
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In this paper the properties of some maximum fractional [0, κ]-factors of graphs are presented. And consequently some results on fractional matchings and fractional 1-factors are generalized and a characterization of fractional k-factors is obtained. 相似文献
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Jiang Huikun 《数学年刊B辑(英文版)》1993,14(4):515-526
This paper, the author studies fractional derivatives and integrals of fractional order \alpha > 0 for functions in L^r(G_\alpha) and Fourier transform for distributions. Under these definitions, the author obtains the formula $x_y^<\alhpa>(x)=|y|^\alpha X_y(x)$ for characters X_y and $(D^{(\alpha)}f)^{\Gamma}=|\cdot|^\alphaf^{\Gamma}$, discusses the existence of the fractional derivatives of test functions, gives relationships between some function spaces, and proves that the fractional derivatives and the fractional integrals are inverse operations one another. 相似文献
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关于图的孤立韧度与分数因子存在性的若干结果 总被引:3,自引:0,他引:3
本文讨论了图的孤立韧度I(G)以及与之相关的参数I^1(G)与图的分数因子存在性的关系,给出了I(G)及I^1(G)与图的分数点(边)消去性、分数L-可扩性及分数[1,b]-因子存在性之间关系的一系列结果. 相似文献
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In this paper the properties of some maximum fractional [0, κ]-factors of graphs are presented. And consequently some results on fractional matchings and fractional 1-factors are generalized and a characterization of fractional κ-factors is obtained. 相似文献
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关于一类Weierstrass函数的分数阶微积分函数 总被引:1,自引:0,他引:1
本文讨论了一类Weierstrass函数的分数阶积分函数与分数阶微分函数,并对这两类新函数的图像 及分形性质作了研究. 相似文献
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Based on fractional isospectral problems and general bilinear forms, the gener-alized fractional trace identity is presented. Then, a new explicit Lie algebra is introduced for which the new fractional integrable couplings of a fractional soliton hierarchy are derived from a fractional zero-curvature equation. Finally, we obtain the fractional Hamiltonian structures of the fractional integrable couplings of the soliton hierarchy. 相似文献
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论文首先证明了非线性随机分数阶微分方程解的存在唯一性,然后构造了数值求解该方程的Euler方法,并证明了当方程满足一定约束条件时,该方法是弱收敛的.特别地,当分数阶α=0时,该方程退化为非线性随机微分方程,所获结论与现有文献中的相关结论是一致的;当α≠0,且初值条件为齐次时,所获结论可视为现有文献中线性随机分数阶微分方... 相似文献
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图的孤立韧度与分数因子的存在性 总被引:10,自引:1,他引:9
设G是一个简单无向图,若G不是完全图,G的孤立韧度定义为I(G)=min{|S|/I(G-S):S包含于V(G),I(G-S)≥2}。否则,令I(G)=∞。本文引入一个与图的孤立韧度I(G)密切相关的新参数I‘(G),若G不是完全图时,I‘(G)=min{|S|/(I(G-S)-1):S包含于V(G),I(G-S)≥2}。否则,I‘(G)=∞;本文研究了参数I(G)和I‘(G)的性质以及两者与图的分数k-因子的关系。给出了具有某些约束条件的图的分数因子存在的一些充分条件。并提出进一步的可研究的问题。 相似文献
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We propose and analyze a spectral Jacobi-collocation approximation for fractional order integro-differential equations of Volterra type. The fractional derivative is described in the Caputo sense. We provide a rigorous error analysis for the collection method,which shows that the errors of the approximate solution decay exponentially in L∞norm and weighted L2-norm. The numerical examples are given to illustrate the theoretical results. 相似文献