A Mixed Monotone Operator Method for the Existence and Uniqueness of Positive Solutions to Impulsive Caputo Fractional Differential Equations
Joint Authors
Zhang, Jieming
Zhai, Chengbo
Yang, Chen
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-12
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We establish some sufficient conditions for the existence and uniqueness of positive solutions to a class of initial value problem for impulsive fractional differential equations involving the Caputo fractional derivative.
Our analysis relies on a fixed point theorem for mixed monotone operators.
Our result can not only guarantee the existence of a unique positive solution but also be applied to construct an iterative scheme for approximating it.
An example is given to illustrate our main result.
American Psychological Association (APA)
Zhang, Jieming& Yang, Chen& Zhai, Chengbo. 2013. A Mixed Monotone Operator Method for the Existence and Uniqueness of Positive Solutions to Impulsive Caputo Fractional Differential Equations. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-495339
Modern Language Association (MLA)
Zhang, Jieming…[et al.]. A Mixed Monotone Operator Method for the Existence and Uniqueness of Positive Solutions to Impulsive Caputo Fractional Differential Equations. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-495339
American Medical Association (AMA)
Zhang, Jieming& Yang, Chen& Zhai, Chengbo. A Mixed Monotone Operator Method for the Existence and Uniqueness of Positive Solutions to Impulsive Caputo Fractional Differential Equations. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-495339
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495339