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	(m,q)阶序列分数差分方程的解; The Solution of Sequence Fractional Difference Equations of Order(m,q)
	程金发
	2014-11-28
关键词	分数阶差分 序列分数阶差分方程 分数Green函数 fractional difference sequence fractional difference equations discrete fractional Green function.
英文摘要	通过构造一个特殊函数λα(n),揭示该函数的重要性质;利用特殊函数λα(n),得到线性常系数齐次(M,Q)阶序列分数差分方程的特征方程.然后利用有理(M,Q)阶算子分解法,结合z变换方法求出齐次(M,Q)阶序列分数差分方程的显示解;以及结合利用分数grEEn函数求出解非齐次(M,Q)阶序列分数差分方程,得到了一般线性常系数非齐次(M,Q)阶序列分数差分方程解的通解结构和基本定理.; In this paper,by constructing a special functionλα(n),some properties of the function were revealed;By using theλα(n),the characteristic equation was obtained for the linear homogeneous sequence fractional difference equations of order(m,q)with constant coefficient;Then making use of the operator decomposition method,and combining with the Z transform method,the explicit solution of the linear homogeneous sequence fractional difference equations of order(m,q)was obtained;By using discrete fractional Green′s function,the general structure and basic theorem of solutions for inhomogeneous sequence difference equation of order(m,q)with constant coefficient were established.; 福建省自然科学基金(2011J01021)
语种	zh_CN
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/119879]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	程金发. (m,q)阶序列分数差分方程的解, The Solution of Sequence Fractional Difference Equations of Order(m,q)[J],2014.
APA	程金发.(2014).(m,q)阶序列分数差分方程的解..
MLA	程金发."(m,q)阶序列分数差分方程的解".(2014).

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