Abstract Cauchy problem for fractional differential equations
Abstract Cauchy problem for fractional differential equations
复制标题
DOI：
10.1007/s11071-012-0452-9
复制
发表时间：
2012-10
影响因子：
5.6
通讯作者：
Jinrong Wang;Yong Zhou;Michal Feckan
中科院分区：
文献类型：
--
作者：
Jinrong Wang;Yong Zhou;Michal Feckan
本文建立了一个与非紧性的Hausdorff测度相关的广义Darbo不动点定理。然后利用非紧性度量技术，应用这个新的变形不动点定理研究了Banach空间中的某些分数阶微分方程。在更一般的条件下，得到了许多新的解的存在唯一性结果。
In this paper, a generalized Darbo’s fixed-point theorem associated with Hausdorff measure of noncompactness is established. Then we apply this new variant fixed-point theorem to study some fractional differential equations in Banach spaces via the technique of measure of noncompactness. Many novel existence and uniqueness results for solutions are obtained under the more general conditions.