Positive Solutions for Higher Order Nonlocal Fractional Differential Equation with Integral Boundary Conditions
In this paper, by using the spectral analysis of the relevant linear operator and Gelfand’s formula, some properties of the first eigenvalue of a fractional differential equation were obtained; combining fixed point index theorem, sufficient conditions for the existence of positive solutions are est...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/6598351 |
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| _version_ | 1850157525189525504 |
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| author | Jiqiang Jiang Weiwei Liu Hongchuan Wang |
| author_facet | Jiqiang Jiang Weiwei Liu Hongchuan Wang |
| author_sort | Jiqiang Jiang |
| collection | DOAJ |
| description | In this paper, by using the spectral analysis of the relevant linear operator and Gelfand’s formula, some properties of the first eigenvalue of a fractional differential equation were obtained; combining fixed point index theorem, sufficient conditions for the existence of positive solutions are established. An example is given to demonstrate the application of our main results. |
| format | Article |
| id | doaj-art-357cbe3d1c0d4f7394e42e54ca20fa1d |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-357cbe3d1c0d4f7394e42e54ca20fa1d2025-08-20T02:24:08ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/65983516598351Positive Solutions for Higher Order Nonlocal Fractional Differential Equation with Integral Boundary ConditionsJiqiang Jiang0Weiwei Liu1Hongchuan Wang2School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaIn this paper, by using the spectral analysis of the relevant linear operator and Gelfand’s formula, some properties of the first eigenvalue of a fractional differential equation were obtained; combining fixed point index theorem, sufficient conditions for the existence of positive solutions are established. An example is given to demonstrate the application of our main results.http://dx.doi.org/10.1155/2018/6598351 |
| spellingShingle | Jiqiang Jiang Weiwei Liu Hongchuan Wang Positive Solutions for Higher Order Nonlocal Fractional Differential Equation with Integral Boundary Conditions Journal of Function Spaces |
| title | Positive Solutions for Higher Order Nonlocal Fractional Differential Equation with Integral Boundary Conditions |
| title_full | Positive Solutions for Higher Order Nonlocal Fractional Differential Equation with Integral Boundary Conditions |
| title_fullStr | Positive Solutions for Higher Order Nonlocal Fractional Differential Equation with Integral Boundary Conditions |
| title_full_unstemmed | Positive Solutions for Higher Order Nonlocal Fractional Differential Equation with Integral Boundary Conditions |
| title_short | Positive Solutions for Higher Order Nonlocal Fractional Differential Equation with Integral Boundary Conditions |
| title_sort | positive solutions for higher order nonlocal fractional differential equation with integral boundary conditions |
| url | http://dx.doi.org/10.1155/2018/6598351 |
| work_keys_str_mv | AT jiqiangjiang positivesolutionsforhigherordernonlocalfractionaldifferentialequationwithintegralboundaryconditions AT weiweiliu positivesolutionsforhigherordernonlocalfractionaldifferentialequationwithintegralboundaryconditions AT hongchuanwang positivesolutionsforhigherordernonlocalfractionaldifferentialequationwithintegralboundaryconditions |