EXISTENCE AND UNIQUENESS OF MILD SOLUTIONS FOR QUASI-LINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

被引：3

作者：

Ramos, Priscila Santos ^{[1
]}

Sousa, J. Vanterler Da C. ^{[1
]}

De Oliveira, E. Capelas ^{[1
]}

机构：

[1] Imecc State Univ Campinas, Dept Appl Math, BR-13083859 Campinas, SP, Brazil

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2022年 / 11卷 / 01期

关键词：

Fractional integro-differential equations; mild solution; existence and uniqueness; Hausdorff measure noncompactness; DIFFERENTIAL-EQUATIONS; GLOBAL EXISTENCE; CONTROLLABILITY; STABILITY; INCLUSIONS; SYSTEMS; DELAY;

D O I：

10.3934/eect.2020100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the existence and uniqueness of mild solutions for a class of quasi-linear fractional integro-differential equations with impulsive con-ditions via Hausdorff measures of noncompactness and fixed point theory in Banach space. Mild solution controllability is discussed for two particular cases.

引用

页码：1 / 24

页数：24

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