Existence of Mild Solutions to Nonlocal Fractional Cauchy Problems via Compactness
Existence of Mild Solutions to Nonlocal Fractional Cauchy Problems via Compactness
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DOI：
10.1155/2016/4567092
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发表时间：
2016-09
影响因子：
--
通讯作者：
Rodrigo Ponce
中科院分区：
文献类型：
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作者：
Rodrigo Ponce
我们得到了预解算子族的紧性的刻画，作为应用，我们研究了Banach空间中分数阶导数的非局部Cauchy问题温和解的存在性。我们在这里同时讨论了Caputo和Riemann-Liouville分数阶导数在
We obtain characterizations of compactness for resolvent families of operators and as applications we study the existence of mild solutions to nonlocal Cauchy problems for fractional derivatives in Banach spaces. We discuss here simultaneously the Caputo and Riemann-Liouville fractional derivatives in the cases and