Abstract Cauchy problem for fractional functional differential equations
Abstract Cauchy problem for fractional functional differential equations
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发表时间：
2013-04
影响因子：
0.7
通讯作者：
Yong Zhou;Feng Jiao;J. Pečarić
中科院分区：
文献类型：
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作者：
Yong Zhou;Feng Jiao;J. Pečarić
在Caratheodory条件和非紧性测度的假设下，讨论了任意Banach空间中分数阶泛函微分方程Cauchy初值问题解的存在性和延拓性。另外，给出了有限维空间分数阶微分方程初值问题解的存在性准则在无限维情况下可能不成立。
In this paper, the existence and continuation of solutions for the Cauchy initial value problem of fractional functional differential equations in an arbitrary Banach space is discussed under hypotheses based on Caratheodory condition and the measure of noncompactness. In addition, an example is given to show that the criteria on existence of solutions for the initial value problem of fractional differential equations in finite-dimensional spaces may not be true in infinite-dimensional cases.