Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain
By employing the monotone iterative method, this paper not only establishes the existence of the minimal and maximal positive solutions for multipoint fractional boundary value problem on an unbounded domain, but also develops two computable explicit monotone iterative sequences for approximating th...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/469509 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566577035214848 |
|---|---|
| author | Guotao Wang Sanyang Liu Lihong Zhang |
| author_facet | Guotao Wang Sanyang Liu Lihong Zhang |
| author_sort | Guotao Wang |
| collection | DOAJ |
| description | By employing the monotone iterative method, this paper not only establishes the existence of the minimal and maximal positive solutions for multipoint fractional boundary value problem on an unbounded domain, but also develops two computable explicit monotone iterative sequences for approximating the two positive solutions. An example is given for the illustration of the main result. |
| format | Article |
| id | doaj-art-e0d6bccd69cb42018159b6d826b522e6 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e0d6bccd69cb42018159b6d826b522e62025-02-03T01:03:49ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/469509469509Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded DomainGuotao Wang0Sanyang Liu1Lihong Zhang2Department of Applied Mathematics, Xidian University, Xi'an, Shaanxi 710071, ChinaDepartment of Applied Mathematics, Xidian University, Xi'an, Shaanxi 710071, ChinaSchool of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, ChinaBy employing the monotone iterative method, this paper not only establishes the existence of the minimal and maximal positive solutions for multipoint fractional boundary value problem on an unbounded domain, but also develops two computable explicit monotone iterative sequences for approximating the two positive solutions. An example is given for the illustration of the main result.http://dx.doi.org/10.1155/2014/469509 |
| spellingShingle | Guotao Wang Sanyang Liu Lihong Zhang Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain Journal of Function Spaces |
| title | Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain |
| title_full | Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain |
| title_fullStr | Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain |
| title_full_unstemmed | Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain |
| title_short | Iterative Approximation of the Minimal and Maximal Positive Solutions for Multipoint Fractional Boundary Value Problem on an Unbounded Domain |
| title_sort | iterative approximation of the minimal and maximal positive solutions for multipoint fractional boundary value problem on an unbounded domain |
| url | http://dx.doi.org/10.1155/2014/469509 |
| work_keys_str_mv | AT guotaowang iterativeapproximationoftheminimalandmaximalpositivesolutionsformultipointfractionalboundaryvalueproblemonanunboundeddomain AT sanyangliu iterativeapproximationoftheminimalandmaximalpositivesolutionsformultipointfractionalboundaryvalueproblemonanunboundeddomain AT lihongzhang iterativeapproximationoftheminimalandmaximalpositivesolutionsformultipointfractionalboundaryvalueproblemonanunboundeddomain |