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分数阶非齐次常微分方程的解

Solution of fractional order non homogeneous ordinary differential equations
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摘要 整数阶常微分方程的古典解法特征根方法对于分数阶常微分方程能不能适用?通过分数阶导数的积分下限取-∞,证明了指数函数f(t)=ert的Riemann-Liouville型α阶导数为raert.从而对Riemann-Liouville型分数阶非齐次常微分方程可以通过特征根方法求得它的通解.分数阶常微分方程在通解中所含的相互独立的任意常数个数与一般传统的整数阶微分方程的规律不同,但却能相容的. Construction of teaching staff is the basis of. survival and development of universities; and the growth of young teachers is the key to the faculty management for local undergraduate universities, therefore, it is necessary and probable for instruction supervision to play its promotion role in it. Aimed at the particularity of the growth of young teachers, instruction supervision should adapt itself to the needs of young teachers in ideas, and approaches. Accordingly, we should innovate our instruc- tion supervision, such as fulfilling the idea of "three-three-two" on the people-oriented basis, adopting the procedure of "supervising, guiding, investigating, studying and promoting", carrying out the mode of combination of regular and special supervision, making various channels of keeping information commu- nication lines open and promoting cooperative supervision between universities and schools.
出处 《宁德师范学院学报(自然科学版)》 2015年第1期21-24,共4页 Journal of Ningde Normal University(Natural Science)
基金 福建省教育厅科技项目A类(JA13352)
关键词 分数阶导数 Riemann-Liouville型 特征根方法 young teachers instruction supervision innovation
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  • 1Podlubny I. Fractional differential equations[ M ]. London: Academic Press, 1999:78 - 79. 被引量:1
  • 2Liu F, Anh V V, Turner I. Numerical solution of space fractional Fokker-Planck equation [ J ]. J Comp and Appl Math, 2004(166) :209 -219. 被引量:1

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