Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation
A class of boundary value problems of Caputo fractional q-difference equation is introduced. Green’s function and its properties for this problem are deduced. By applying these properties and the Leggett-Williams fixed-point theorem, existence criteria of three positive solutions are obtained. At la...
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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: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/2475284 |
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| _version_ | 1832551951034744832 |
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| author | Huiqin Chen Shugui Kang Lili Kong Ying Gao |
| author_facet | Huiqin Chen Shugui Kang Lili Kong Ying Gao |
| author_sort | Huiqin Chen |
| collection | DOAJ |
| description | A class of boundary value problems of Caputo fractional q-difference equation is introduced. Green’s function and its properties for this problem are deduced. By applying these properties and the Leggett-Williams fixed-point theorem, existence criteria of three positive solutions are obtained. At last, some examples are given to illustrate the validity of our main results. |
| format | Article |
| id | doaj-art-5ff143be7be94eeb9304d51f3888e7be |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5ff143be7be94eeb9304d51f3888e7be2025-02-03T06:00:06ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/24752842475284Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference EquationHuiqin Chen0Shugui Kang1Lili Kong2Ying Gao3School of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, ChinaSchool of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, ChinaSchool of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, ChinaSchool of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, ChinaA class of boundary value problems of Caputo fractional q-difference equation is introduced. Green’s function and its properties for this problem are deduced. By applying these properties and the Leggett-Williams fixed-point theorem, existence criteria of three positive solutions are obtained. At last, some examples are given to illustrate the validity of our main results.http://dx.doi.org/10.1155/2018/2475284 |
| spellingShingle | Huiqin Chen Shugui Kang Lili Kong Ying Gao Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation Discrete Dynamics in Nature and Society |
| title | Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation |
| title_full | Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation |
| title_fullStr | Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation |
| title_full_unstemmed | Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation |
| title_short | Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation |
| title_sort | existence of three positive solutions for a class of boundary value problems of caputo fractional q difference equation |
| url | http://dx.doi.org/10.1155/2018/2475284 |
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