(2,q)阶分数差分方程的解

程金发, 吴国春

数学学报 ›› 2012, Vol. 55 ›› Issue (3) : 469-480.

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数学学报 ›› 2012, Vol. 55 ›› Issue (3) : 469-480. DOI: 10.12386/A2012sxxb0044
论文

(2,q)阶分数差分方程的解

    程金发, 吴国春
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The Solution of Fractional Difference Equations of Order (2, q)

    Jin Fa CHENG, Guo Chun WU
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摘要

首次提出了一种分数阶差分,分数阶和分以及分数阶差分方程的定义,并给出(2,q)阶常系数分数阶差分方程的具体解法.

Abstract

We first present a kind of new definition of fractional difference, fractional summation, and fractional equations, give methods for explicitly solving fractional difference equations of order (2, q) by use of the method of undetermined coefficients.

关键词

分数阶差分 / 分数阶和分 / 分数(k,q)阶差分方程

Key words

fractional difference / fractional summation / fractional difference equation of order (2, q)

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程金发, 吴国春. (2,q)阶分数差分方程的解. 数学学报, 2012, 55(3): 469-480 https://doi.org/10.12386/A2012sxxb0044
Jin Fa CHENG, Guo Chun WU. The Solution of Fractional Difference Equations of Order (2, q). Acta Mathematica Sinica, Chinese Series, 2012, 55(3): 469-480 https://doi.org/10.12386/A2012sxxb0044

参考文献

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基金

福建省自然科学基金资助项目(2011J01021); 中央高校基本科研业务费专项基金(2011121039)
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