Monotone Iterative Solutions for Nonlinear Boundary Value Problems of Fractional Differential Equation
Joint Authors
Xie, Songfa
Liu, Bin
Hu, Chaozhu
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-29
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
By means of the method of quasi-lower and quasi-upper solutions and monotone iterative technique, we consider the nonlinear boundary value problems with Caputo fractional derivative and introduce two well-defined monotone sequences of quasi-lower and quasi-upper solutions which converge uniformly to the actual solution of the problem, and then the existence results of the solution for the problems are established.
A numerical iterative scheme is introduced to obtain an accurate approximate solution and to give one example to demonstrate the accuracy and efficiency of the new approach.
American Psychological Association (APA)
Hu, Chaozhu& Liu, Bin& Xie, Songfa. 2013. Monotone Iterative Solutions for Nonlinear Boundary Value Problems of Fractional Differential Equation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-476032
Modern Language Association (MLA)
Hu, Chaozhu…[et al.]. Monotone Iterative Solutions for Nonlinear Boundary Value Problems of Fractional Differential Equation. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-476032
American Medical Association (AMA)
Hu, Chaozhu& Liu, Bin& Xie, Songfa. Monotone Iterative Solutions for Nonlinear Boundary Value Problems of Fractional Differential Equation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-476032
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476032