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

被引:9
|
作者
Zhu, Bo [1 ]
Han, Baoyan [2 ]
机构
[1] Shandong Univ Finance & Econ, Sch Mathemat & Quantitat Econ, Jinan 250014, Shandong, Peoples R China
[2] Shandong Univ Art & Design, Common Course Teaching Dept, Jinan 250014, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
Nonlinear time fractional partial integro-differential equation; Solution operator; Measure of noncompactness; General Banach contraction mapping principle; Convex-power condensing operator; DIFFERENTIAL-EQUATIONS; GLOBAL-SOLUTIONS; BANACH-SPACES; THEOREMS;
D O I
10.1007/s00009-020-01550-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study a class of nonlinear time fractional partial integro-differential equations. The main results for the problem are obtained by the measure of noncompactness, solution operator, convex-power condensing operator and general Banach contraction mapping principle.
引用
收藏
页数:12
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