Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order
In this paper, the existence of multiple positive solutions for a class of quadratic integral equation of fractional order is obtained, by utilizing Avery-Henderson and Leggett-Williams multiple fixed point theorems on cones. An example is given to illustrate the applicability of our results. We bel...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/4571067 |
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| author | Hui-Sheng Ding Man-Man Liu Juan J. Nieto |
| author_facet | Hui-Sheng Ding Man-Man Liu Juan J. Nieto |
| author_sort | Hui-Sheng Ding |
| collection | DOAJ |
| description | In this paper, the existence of multiple positive solutions for a class of quadratic integral equation of fractional order is obtained, by utilizing Avery-Henderson and Leggett-Williams multiple fixed point theorems on cones. An example is given to illustrate the applicability of our results. We believe that this is a first result concerning the existence of multiple solutions for such quadratic integral equation of fractional order. |
| format | Article |
| id | doaj-art-3d4b9ae12c9a4f06a53c38bbdca5dd39 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-3d4b9ae12c9a4f06a53c38bbdca5dd392025-02-03T01:00:24ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/45710674571067Multiple Positive Solutions for Quadratic Integral Equations of Fractional OrderHui-Sheng Ding0Man-Man Liu1Juan J. Nieto2College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, ChinaCollege of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, ChinaDepartamento de Estadística, Análisis Matemático y Optimización, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, SpainIn this paper, the existence of multiple positive solutions for a class of quadratic integral equation of fractional order is obtained, by utilizing Avery-Henderson and Leggett-Williams multiple fixed point theorems on cones. An example is given to illustrate the applicability of our results. We believe that this is a first result concerning the existence of multiple solutions for such quadratic integral equation of fractional order.http://dx.doi.org/10.1155/2017/4571067 |
| spellingShingle | Hui-Sheng Ding Man-Man Liu Juan J. Nieto Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order Journal of Function Spaces |
| title | Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order |
| title_full | Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order |
| title_fullStr | Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order |
| title_full_unstemmed | Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order |
| title_short | Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order |
| title_sort | multiple positive solutions for quadratic integral equations of fractional order |
| url | http://dx.doi.org/10.1155/2017/4571067 |
| work_keys_str_mv | AT huishengding multiplepositivesolutionsforquadraticintegralequationsoffractionalorder AT manmanliu multiplepositivesolutionsforquadraticintegralequationsoffractionalorder AT juanjnieto multiplepositivesolutionsforquadraticintegralequationsoffractionalorder |