The General Solution of Differential Equations with Caputo-Hadamard Fractional Derivatives and Noninstantaneous Impulses
Joint Authors
Zhang, Xianmin
Zhang, Xianzhen
Liu, Zuohua
Peng, Hui
Yang, Shiyong
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-09
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Based on some recent works about the general solution of fractional differential equations with instantaneous impulses, a Caputo-Hadamard fractional differential equation with noninstantaneous impulses is studied in this paper.
An equivalent integral equation with some undetermined constants is obtained for this fractional order system with noninstantaneous impulses, which means that there is general solution for the impulsive systems.
Next, an example is given to illustrate the obtained result.
American Psychological Association (APA)
Zhang, Xianzhen& Liu, Zuohua& Peng, Hui& Zhang, Xianmin& Yang, Shiyong. 2017. The General Solution of Differential Equations with Caputo-Hadamard Fractional Derivatives and Noninstantaneous Impulses. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1123117
Modern Language Association (MLA)
Zhang, Xianzhen…[et al.]. The General Solution of Differential Equations with Caputo-Hadamard Fractional Derivatives and Noninstantaneous Impulses. Advances in Mathematical Physics No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1123117
American Medical Association (AMA)
Zhang, Xianzhen& Liu, Zuohua& Peng, Hui& Zhang, Xianmin& Yang, Shiyong. The General Solution of Differential Equations with Caputo-Hadamard Fractional Derivatives and Noninstantaneous Impulses. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1123117
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123117