Positive Solutions to n-Order Fractional Differential Equation with Parameter
By employing the properties of the sum operators, we investigate the solutions of the n-order fractional differential equations multiple point boundary value problem (in short BVP) with the boundary conditions contains a parameter. We not only obtain the existence and uniqueness of solutions about t...
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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/10.1155/2018/3046713 |
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| _version_ | 1832554630562709504 |
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| author | Jing-jing Tan Cong Tan Xueling Zhou |
| author_facet | Jing-jing Tan Cong Tan Xueling Zhou |
| author_sort | Jing-jing Tan |
| collection | DOAJ |
| description | By employing the properties of the sum operators, we investigate the solutions of the n-order fractional differential equations multiple point boundary value problem (in short BVP) with the boundary conditions contains a parameter. We not only obtain the existence and uniqueness of solutions about this BVP but also construct an iterative scheme to approximate the solution which is important for practical application. An example is given to demonstrate the validity of our main results. |
| format | Article |
| id | doaj-art-425103c9f03d4cff9f10bc376c7dfca8 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-425103c9f03d4cff9f10bc376c7dfca82025-02-03T05:50:53ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/30467133046713Positive Solutions to n-Order Fractional Differential Equation with ParameterJing-jing Tan0Cong Tan1Xueling Zhou2School of Mathematics and Information Science, Weifang University, Shandong 261061, ChinaShenyang Ligong University, Liaoning 110159, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao Shandong 266590, ChinaBy employing the properties of the sum operators, we investigate the solutions of the n-order fractional differential equations multiple point boundary value problem (in short BVP) with the boundary conditions contains a parameter. We not only obtain the existence and uniqueness of solutions about this BVP but also construct an iterative scheme to approximate the solution which is important for practical application. An example is given to demonstrate the validity of our main results.http://dx.doi.org/10.1155/2018/3046713 |
| spellingShingle | Jing-jing Tan Cong Tan Xueling Zhou Positive Solutions to n-Order Fractional Differential Equation with Parameter Journal of Function Spaces |
| title | Positive Solutions to n-Order Fractional Differential Equation with Parameter |
| title_full | Positive Solutions to n-Order Fractional Differential Equation with Parameter |
| title_fullStr | Positive Solutions to n-Order Fractional Differential Equation with Parameter |
| title_full_unstemmed | Positive Solutions to n-Order Fractional Differential Equation with Parameter |
| title_short | Positive Solutions to n-Order Fractional Differential Equation with Parameter |
| title_sort | positive solutions to n order fractional differential equation with parameter |
| url | http://dx.doi.org/10.1155/2018/3046713 |
| work_keys_str_mv | AT jingjingtan positivesolutionstonorderfractionaldifferentialequationwithparameter AT congtan positivesolutionstonorderfractionaldifferentialequationwithparameter AT xuelingzhou positivesolutionstonorderfractionaldifferentialequationwithparameter |