Existence and Regularity of q-Mild Solutions to Fractional Evolution Equations with Noncompact Semigroups
Existence and Regularity of q-Mild Solutions to Fractional Evolution Equations with Noncompact Semigroups
复制标题
DOI：
10.1007/s12591-016-0337-3
复制
发表时间：
2016-11
影响因子：
1
通讯作者：
Jia Mu;Shuibo Huang;Ling Guo
中科院分区：
文献类型：
--
作者：
Jia Mu;Shuibo Huang;Ling Guo
讨论了一类分数阶发展方程在q-范数下解的存在性和正则性。线性部分生成一个非紧半群，非线性部分满足关于线性部分的分数幂范数的条件。最后，我们将所得结果应用于控制系统。
We discuss the existence and regularity of solutions to some fractional evolution equations in the q-norm. The linear part generates a noncompact semigroup, and the nonlinear part satisfies some conditions with respect to the fractional power norm of the linear part. In the end, we apply the obtained results to a control system.