非线性分数阶积分微分发展方程适度解的存在唯一性（英文）  

Existence and Uniqueness of Mild Solutions for Nonlinear Fractional Integro-Differential Evolution Equations

作　　者：侯咪咪 西宣宣 周先锋[1] HOU Mimi;XI Xuanxuan;ZHOU Xianfeng(School of Mathematical Science,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学数学科学学院

出　　处：《应用数学》2020年第1期45-57,共13页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11471015,11371027,11601003);the Natural Science Foundation of Anhui Province(1508085MA01,1608085MA12,1708085MA15);the Program of Natural Science Research for Universities of Anhui Province(KJ2016A023)

摘　　要：本文研究一类在Banach空间中分数阶积分微分发展方程的问题,利用分数阶幂算子和解析半群理论来证明所给方程适度解的存在唯一性.并进一步给出适度解的Holder连续性.In this paper,we will study a class of nonlinear fractional integro-differential evolution equations in a Banach space X:We use the fractional power of operators and the theory of analytic semigroups to prove the existence and uniqueness of the solution for the given problem.Furthermore,we give the Holder continuity of the obtained mild solution.

关 键 词：解析半群 适度解 存在唯一性 HOLDER连续 

分 类 号：O175.11[理学—数学]