Existence and continuous dependence of mild solutions for impulsive fractional integrodifferential equations in Banach spaces

被引：0

作者：

Safwan Al-Shara

Ahmad Al-Omari

机构：

[1] Al al-Bayt University,Department of Mathematics, Faculty of Sciences

来源：

Computational and Applied Mathematics | 2020年 / 39卷

关键词：

Impulsive; Integrodifferential equation; Fixed point; Nonlocal condition; Hadamard fractional derivative; Mild solution; 34A08; 34N05; 34A12;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the present paper, we investigate the existence, uniqueness, and continuous dependence of mild solutions of impulsive neutral integrodifferential equations with nonlocal conditions in Banach spaces. We use Banach contraction principle and the theory of fractional power of operators to obtain our results. An example is given to illustrate our results.

引用

共 50 条

[1] Existence and continuous dependence of mild solutions for impulsive fractional integrodifferential equations in Banach spaces
Al-Shara, Safwan
Al-Omari, Ahmad
[J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (04):
[2] Existence of Solutions for Fractional Impulsive Integrodifferential Equations in Banach Spaces
Gou, Haide
Li, Baolin
[J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 2016
[3] ON THE EXISTENCE OF MILD SOLUTIONS FOR NONLOCAL IMPULSIVE INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES
Dieye, M.
Diop, M. A.
Ezzinbi, K.
Hmoyed, H.
[J]. MATEMATICHE, 2019, 74 (01): : 13 - 34
[4] Existence results for fractional impulsive integrodifferential equations in Banach spaces
Balachandran, K.
Kiruthika, S.
Trujillo, J. J.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (04) : 1970 - 1977
[5] Remark on the existence results for fractional impulsive integrodifferential equations in Banach spaces
Balachandran, K.
Kiruthika, S.
Trujillo, J. J.
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (06) : 2244 - 2247
[6] Existence of Mild and Classical Solutions for Nonlocal Impulsive Integrodifferential Equations in Banach Spaces with Measure of Noncompactness
Karthikeyan, K.
Anguraj, A.
Malar, K.
Trujillo, Juan J.
[J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 2014
[7] Existence and continuous dependence of mild solutions to semilinear functional differential equations in banach spaces
Shin, JS
Naito, T
[J]. TOHOKU MATHEMATICAL JOURNAL, 1999, 51 (04) : 555 - 583
[8] Existence of solutions for quasi-linear impulsive functional integrodifferential equations in Banach spaces
Samuel, Francis Paul
Balachandran, Krishnan
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (02): : 115 - 125
[9] Existence and Controllability Results for Fractional Impulsive Integrodifferential Systems in Banach Spaces
Qin, Haiyong
Zuo, Xin
Liu, Jianwei
[J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
[10] Existence Results of Mild Solutions for Impulsive Fractional Integrodifferential Evolution Equations With Nonlocal Conditions
Zhang, Xuping
Gou, Haide
Li, Yongxiang
[J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2019, 20 (01) : 1 - 16

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