A note on the fractional Cauchy problems with nonlocal initial conditions
A note on the fractional Cauchy problems with nonlocal initial conditions
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关于非局部初始条件的分数柯西问题的注记
DOI:
10.1016/j.aml.2011.03.026
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发表时间:
2011-08
影响因子:
3.7
通讯作者:
Liang, Jin
中科院分区:
文献类型:
--
作者:
Wang, Rong-Nian;Xiao, Ti-Jun;Liang, Jin
Of concern is the Cauchy problems for fractional integro-differential equations with nonlocal initial conditions. Using a new strategy in terms of the compactness of the semigroup generated by the operator in the linear part and approximating technique, a new existence theorem for mild solutions is established. An application to a fractional partial integro-differential equation with a nonlocal initial condition is also considered.
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