Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order
We investigate the existence of multiple positive solutions for a class of boundary value problems of nonlinear differential equation with Caputo’s fractional order derivative. The existence results are obtained by means of the Avery-Peterson fixed point theorem. It should be point out that this is...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/540846 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550130032574464 |
|---|---|
| author | Yang Liu Zhang Weiguo |
| author_facet | Yang Liu Zhang Weiguo |
| author_sort | Yang Liu |
| collection | DOAJ |
| description | We investigate the existence of multiple positive solutions for a class of boundary value problems of nonlinear differential equation with Caputo’s fractional order derivative. The existence results are obtained by means of the Avery-Peterson fixed point theorem. It should be point out that this is the first time that this fixed point theorem is used to deal with the boundary value problem of differential equations with fractional order derivative. |
| format | Article |
| id | doaj-art-3a7699dcaf1645ef9e42ac3803cbd12b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3a7699dcaf1645ef9e42ac3803cbd12b2025-02-03T06:07:29ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/540846540846Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional OrderYang Liu0Zhang Weiguo1College of Science, University of Shanghai for Science and Technology, Shanghai 200093, ChinaCollege of Science, University of Shanghai for Science and Technology, Shanghai 200093, ChinaWe investigate the existence of multiple positive solutions for a class of boundary value problems of nonlinear differential equation with Caputo’s fractional order derivative. The existence results are obtained by means of the Avery-Peterson fixed point theorem. It should be point out that this is the first time that this fixed point theorem is used to deal with the boundary value problem of differential equations with fractional order derivative.http://dx.doi.org/10.1155/2012/540846 |
| spellingShingle | Yang Liu Zhang Weiguo Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order Abstract and Applied Analysis |
| title | Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order |
| title_full | Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order |
| title_fullStr | Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order |
| title_full_unstemmed | Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order |
| title_short | Multiplicity Result of Positive Solutions for Nonlinear Differential Equation of Fractional Order |
| title_sort | multiplicity result of positive solutions for nonlinear differential equation of fractional order |
| url | http://dx.doi.org/10.1155/2012/540846 |
| work_keys_str_mv | AT yangliu multiplicityresultofpositivesolutionsfornonlineardifferentialequationoffractionalorder AT zhangweiguo multiplicityresultofpositivesolutionsfornonlineardifferentialequationoffractionalorder |