On the well-posedness of degenerate fractional differential equations in vector valued function spaces
On the well-posedness of degenerate fractional differential equations in vector valued function spaces
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DOI：
10.1007/s11856-017-1496-9
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发表时间：
2017-04
影响因子：
1
通讯作者：
Rodrigo Ponce
中科院分区：
文献类型：
--
作者：
Rodrigo Ponce
利用向量值乘子的结果，完全刻画了退化分数次微分方程Dα(Mu)(T)=Au(T)+f(T)，t∈ℝ在向量值Hölder空间和勒贝格空间上的适定性，其中A和M是定义在空间X上的闭线性算子，0<；γ<；1，1<；p<；∞，分数导数在Caputo意义下理解，α是正的.
We characterize completely the well-posedness on the vector-valued Hölder and Lebesgue spaces of the degenerate fractional differential equationDα(Mu)(t) =Au(t) +f(t),t∈ ℝ by using vector-valued multiplier results in the spacesCγ(ℝ;X) andLp(ℝ;X), whereAandMare closed linear operators defined on the Banach spaceX, 0 <γ< 1, 1 <p< ∞, the fractional derivative is understood in the sense of Caputo andαis positive.