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非线性分数阶微分方程解的延拓(英文)

CONTINUATION OF SOLUTIONS OF FRACTIONAL ORDER NONLINEAR EQUATIONS
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摘要 本文研究了分数阶微分方程(1.1)解的延拓问题.利用解的表达式给出方程解的可延拓条件,在此基础上研究了解可以延拓至何种程度的有关结果,且探讨了解的存在区间为[t_0,+∞)的条件. In this paper, we study the continuation of solutions of the nonlinear Riemann -Liouville fractional order equations. We give the conditions under which the solution of equation （1.1） is continuable by using the the expression of the solution of the equation; on this basis, we analyze the solutions can be extended to what extent. Meanwhile, we investigate what conditions should be met, when the maximal existence interval of solution of equation （1.1） is [to, ＋∞）.
作者 李晓艳 蒋威
机构地区 安徽大学数学科学学院
出处 《数学杂志》 CSCD 北大核心 2011年第6期1035-1040,共6页 Journal of Mathematics
基金 Supported by National Natural Science Foundation of China(11071001) Research Fund for the Doctoral Program of China(2009 3401110001) Natural Science Foundation of Anhui Province(KJ2010ZD02) Program of Natural Science Research in Anhui Universities( KJ2011A020)
关键词 微分方程 分数阶导数 解的延拓 differential equations fractional derivatives continuation of solutions
分类号 O175.14 [理学—基础数学]
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数学杂志
2011年 第6期

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