Positive Solution of a Nonlinear Fractional Differential Equation Involving Caputo Derivative
Joint Authors
Wang, Shu
Zhang, Haiqiang
Wang, Chang-you
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-02
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This paper is concerned with a nonlinear fractional differential equation involving Caputo derivative.
By constructing the upper and lower control functions of the nonlinear term without any monotone requirement and applying the method of upper and lower solutions and the Schauder fixed point theorem, the existence and uniqueness of positive solution for the initial value problem are investigated.
Moreover, the existence of maximal and minimal solutions is also obtained.
American Psychological Association (APA)
Wang, Chang-you& Zhang, Haiqiang& Wang, Shu. 2012. Positive Solution of a Nonlinear Fractional Differential Equation Involving Caputo Derivative. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-471181
Modern Language Association (MLA)
Wang, Chang-you…[et al.]. Positive Solution of a Nonlinear Fractional Differential Equation Involving Caputo Derivative. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-471181
American Medical Association (AMA)
Wang, Chang-you& Zhang, Haiqiang& Wang, Shu. Positive Solution of a Nonlinear Fractional Differential Equation Involving Caputo Derivative. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-471181
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471181