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.
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页码：1 / 24
页数：24
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