Existence and Uniqueness of the Solutions for Fractional Differential Equations with Nonlinear Boundary Conditions
Joint Authors
Li, Fanfan
Jia, Mei
Zhi, Ertao
Liu, Xiping
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-19
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We study the existence and uniqueness of the solutions for the boundary value problem of fractional differential equations with nonlinear boundary conditions.
By using the upper and lower solutions method in reverse order and monotone iterative techniques, we obtain the sufficient conditions of both the existence of the maximal and minimal solutions between an upper solution and a lower solution and the uniqueness of the solutions for the boundary value problem and present the iterative sequence for calculating the approximate analytical solutions of the boundary value problem and the error estimate.
An example is also given to illustrate the main results.
American Psychological Association (APA)
Liu, Xiping& Li, Fanfan& Jia, Mei& Zhi, Ertao. 2014. Existence and Uniqueness of the Solutions for Fractional Differential Equations with Nonlinear Boundary Conditions. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033985
Modern Language Association (MLA)
Liu, Xiping…[et al.]. Existence and Uniqueness of the Solutions for Fractional Differential Equations with Nonlinear Boundary Conditions. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1033985
American Medical Association (AMA)
Liu, Xiping& Li, Fanfan& Jia, Mei& Zhi, Ertao. Existence and Uniqueness of the Solutions for Fractional Differential Equations with Nonlinear Boundary Conditions. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033985
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033985