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一种基于阶次转换的分数阶微分方程近似解法 被引量:1
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作者 郑志静 王璐 《湘潭大学自然科学学报》 北大核心 2017年第4期10-13,共4页
基于Caputo分数微分和Riemann-Liouville分数微分的理论,通过阶次转换,将高阶分数阶微分方程转换成经典的整数阶微分方程,继而进行近似求解.数值实验结果表明了该方法的有效性.
关键词 分数阶微分方程 高阶分数阶 阶次转换 Caputo微分 riemannliouville微分
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ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR A NONHOMOGENEOUS BIHARMONIC EQUATION WITH A BOUNDARY OPERATOR OF A FRACTIONAL ORDER 被引量:2
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作者 A.S.BERDYSHEV A.CABADA B.Kh.TURMETOV 《Acta Mathematica Scientia》 SCIE CSCD 2014年第6期1695-1706,共12页
This paper is concerned with the solvability of a boundary value problem for a nonhomogeneous biharmonic equation. The boundary data is determined by a differential operator of fractional order in the Riemann-Liouvill... This paper is concerned with the solvability of a boundary value problem for a nonhomogeneous biharmonic equation. The boundary data is determined by a differential operator of fractional order in the Riemann-Liouville sense. The considered problem is a generalization of the known Dirichlet and Neumann problems. 展开更多
关键词 biharmonic equation boundary value problem fractional derivative the riemannliouville operator
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