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基于Caputo导数的Miller-Ross序列导数微分方程的稳定性分析
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作者 钱德亮 李常品 《数学的实践与认识》 CSCD 北大核心 2012年第10期133-139,共7页
讨论了基于Caputo导数的Miller-Ross序列导数的分数阶微分方程的稳定性.根据Laplace变换,得到分数阶微分方程的解;应用Mittag-Leffler函数的渐近展开,讨论了方程的稳定性.分两部分:齐次方程与非齐次方程.
关键词 CAPUTO分数阶导数 miller-ross序列导数 Mittag-Leffler函数 稳定性
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ON SOME BOUNDARY VALUE PROBLEMS FOR NONHOMOGENOUS POLYHARMONIC EQUATION WITH BOUNDARY OPERATORS OF FRACTIONAL ORDER 被引量:1
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作者 Batirkhan TURMETOV 《Acta Mathematica Scientia》 SCIE CSCD 2016年第3期831-846,共16页
In the paper we study questions about solvability of some boundary value prob- lems for a non-homogenous poly-harmonic equation. As a boundary operator we consider differentiation operator of fractional order in Mille... In the paper we study questions about solvability of some boundary value prob- lems for a non-homogenous poly-harmonic equation. As a boundary operator we consider differentiation operator of fractional order in Miller-Ross sense. The considered problem is a generalization of well-known Dirichlet and Neumann problems. 展开更多
关键词 polyharmonic equation boundary value problem Dirichlet problem Neumann problem fractional derivative miller-ross operator
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