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Analysis of Nonlinear Coupled Systems of Impulsive Fractional Differential Equations with Hadamard Derivatives
Joint Authors
Fu, Zhengqing
Xu, Jiafa
Ali, Zeeshan
Ahmad, Manzoor
Riaz, Usman
Zada, Akbar
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-11
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
This work is committed to establishing the assumptions essential for at least one and unique solution of a switched coupled system of impulsive fractional differential equations having derivative of Hadamard type.
Using Krasnoselskii’s fixed point theorem, the existence, as well as uniqueness results, is obtained.
Along with this, different kinds of Hyers–Ulam stability are discussed.
For supporting the theory, example is provided.
American Psychological Association (APA)
Riaz, Usman& Zada, Akbar& Ali, Zeeshan& Ahmad, Manzoor& Xu, Jiafa& Fu, Zhengqing. 2019. Analysis of Nonlinear Coupled Systems of Impulsive Fractional Differential Equations with Hadamard Derivatives. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-20.
https://search.emarefa.net/detail/BIM-1195961
Modern Language Association (MLA)
Riaz, Usman…[et al.]. Analysis of Nonlinear Coupled Systems of Impulsive Fractional Differential Equations with Hadamard Derivatives. Mathematical Problems in Engineering No. 2019 (2019), pp.1-20.
https://search.emarefa.net/detail/BIM-1195961
American Medical Association (AMA)
Riaz, Usman& Zada, Akbar& Ali, Zeeshan& Ahmad, Manzoor& Xu, Jiafa& Fu, Zhengqing. Analysis of Nonlinear Coupled Systems of Impulsive Fractional Differential Equations with Hadamard Derivatives. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-20.
https://search.emarefa.net/detail/BIM-1195961
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195961