Periodic Solutions and S-Asymptotically Periodic Solutions to Fractional Evolution Equations
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-04-03
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper deals with the existence and uniqueness of periodic solutions, S-asymptotically periodic solutions, and other types of bounded solutions for some fractional evolution equations with the Weyl-Liouville fractional derivative defined for periodic functions.
Applying Fourier transform we give reasonable definitions of mild solutions.
Then we accurately estimate the spectral radius of resolvent operator and obtain some existence and uniqueness results.
American Psychological Association (APA)
Mu, Jia& Zhou, Yong& Peng, Li. 2017. Periodic Solutions and S-Asymptotically Periodic Solutions to Fractional Evolution Equations. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1151117
Modern Language Association (MLA)
Mu, Jia…[et al.]. Periodic Solutions and S-Asymptotically Periodic Solutions to Fractional Evolution Equations. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-12.
https://search.emarefa.net/detail/BIM-1151117
American Medical Association (AMA)
Mu, Jia& Zhou, Yong& Peng, Li. Periodic Solutions and S-Asymptotically Periodic Solutions to Fractional Evolution Equations. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-12.
https://search.emarefa.net/detail/BIM-1151117
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151117