Existence of Positive Solutions for Two-Point Boundary Value Problems of Nonlinear Finite Discrete Fractional Differential Equations and Its Application
This paper is concerned with the two-point boundary value problems of nonlinear finite discrete fractional differential equations. On one hand, we discuss some new properties of the Green function. On the other hand, by using the main properties of Green function and the Krasnoselskii fixed point th...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/7307614 |
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| _version_ | 1832568432407609344 |
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| author | Caixia Guo Jianmin Guo Ying Gao Shugui Kang |
| author_facet | Caixia Guo Jianmin Guo Ying Gao Shugui Kang |
| author_sort | Caixia Guo |
| collection | DOAJ |
| description | This paper is concerned with the two-point boundary value problems of nonlinear finite discrete fractional differential equations. On one hand, we discuss some new properties of the Green function. On the other hand, by using the main properties of Green function and the Krasnoselskii fixed point theorem on cones, some sufficient conditions for the existence of at least one or two positive solutions for the boundary value problem are established. |
| format | Article |
| id | doaj-art-622c1daeb5054176aa310a58e5caf128 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-622c1daeb5054176aa310a58e5caf1282025-02-03T00:59:00ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/73076147307614Existence of Positive Solutions for Two-Point Boundary Value Problems of Nonlinear Finite Discrete Fractional Differential Equations and Its ApplicationCaixia Guo0Jianmin Guo1Ying Gao2Shugui Kang3School of Mathematics and Computer Sciences, Shanxi Datong University, Shanxi, Datong 037009, ChinaSchool of Mathematics and Computer Sciences, Shanxi Datong University, Shanxi, Datong 037009, ChinaSchool of Mathematics and Computer Sciences, Shanxi Datong University, Shanxi, Datong 037009, ChinaSchool of Mathematics and Computer Sciences, Shanxi Datong University, Shanxi, Datong 037009, ChinaThis paper is concerned with the two-point boundary value problems of nonlinear finite discrete fractional differential equations. On one hand, we discuss some new properties of the Green function. On the other hand, by using the main properties of Green function and the Krasnoselskii fixed point theorem on cones, some sufficient conditions for the existence of at least one or two positive solutions for the boundary value problem are established.http://dx.doi.org/10.1155/2016/7307614 |
| spellingShingle | Caixia Guo Jianmin Guo Ying Gao Shugui Kang Existence of Positive Solutions for Two-Point Boundary Value Problems of Nonlinear Finite Discrete Fractional Differential Equations and Its Application Advances in Mathematical Physics |
| title | Existence of Positive Solutions for Two-Point Boundary Value Problems of Nonlinear Finite Discrete Fractional Differential Equations and Its Application |
| title_full | Existence of Positive Solutions for Two-Point Boundary Value Problems of Nonlinear Finite Discrete Fractional Differential Equations and Its Application |
| title_fullStr | Existence of Positive Solutions for Two-Point Boundary Value Problems of Nonlinear Finite Discrete Fractional Differential Equations and Its Application |
| title_full_unstemmed | Existence of Positive Solutions for Two-Point Boundary Value Problems of Nonlinear Finite Discrete Fractional Differential Equations and Its Application |
| title_short | Existence of Positive Solutions for Two-Point Boundary Value Problems of Nonlinear Finite Discrete Fractional Differential Equations and Its Application |
| title_sort | existence of positive solutions for two point boundary value problems of nonlinear finite discrete fractional differential equations and its application |
| url | http://dx.doi.org/10.1155/2016/7307614 |
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