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

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2020年 / 17卷 / 04期

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

页数：12

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