Existence of Solutions for Boundary Value Problem of a Caputo Fractional Difference Equation
We investigate the existence of solutions for a Caputo fractional difference equation boundary value problem. We use Schauder fixed point theorem to deduce the existence of solutions. The proofs are based upon the theory of discrete fractional calculus. We also provide some examples to illustrate ou...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/206261 |
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| _version_ | 1832560535389863936 |
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| author | Zhiping Liu Shugui Kang Huiqin Chen Jianmin Guo Yaqiong Cui Caixia Guo |
| author_facet | Zhiping Liu Shugui Kang Huiqin Chen Jianmin Guo Yaqiong Cui Caixia Guo |
| author_sort | Zhiping Liu |
| collection | DOAJ |
| description | We investigate the existence of solutions for a Caputo fractional difference equation boundary value problem. We use Schauder fixed point theorem to deduce the existence of solutions. The proofs are based upon the theory of discrete fractional calculus. We also provide some examples to illustrate our main results. |
| format | Article |
| id | doaj-art-8d3ae5a79fd04d8fa8a8b783a54de20b |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8d3ae5a79fd04d8fa8a8b783a54de20b2025-02-03T01:27:15ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/206261206261Existence of Solutions for Boundary Value Problem of a Caputo Fractional Difference EquationZhiping Liu0Shugui Kang1Huiqin Chen2Jianmin Guo3Yaqiong Cui4Caixia Guo5Department of Mathematics, North University of China, Shanxi, Taiyuan 030051, 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, ChinaSchool of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, ChinaSchool of Mathematics and Computer Sciences, Shanxi Datong University, Datong, Shanxi 037009, ChinaWe investigate the existence of solutions for a Caputo fractional difference equation boundary value problem. We use Schauder fixed point theorem to deduce the existence of solutions. The proofs are based upon the theory of discrete fractional calculus. We also provide some examples to illustrate our main results.http://dx.doi.org/10.1155/2015/206261 |
| spellingShingle | Zhiping Liu Shugui Kang Huiqin Chen Jianmin Guo Yaqiong Cui Caixia Guo Existence of Solutions for Boundary Value Problem of a Caputo Fractional Difference Equation Discrete Dynamics in Nature and Society |
| title | Existence of Solutions for Boundary Value Problem of a Caputo Fractional Difference Equation |
| title_full | Existence of Solutions for Boundary Value Problem of a Caputo Fractional Difference Equation |
| title_fullStr | Existence of Solutions for Boundary Value Problem of a Caputo Fractional Difference Equation |
| title_full_unstemmed | Existence of Solutions for Boundary Value Problem of a Caputo Fractional Difference Equation |
| title_short | Existence of Solutions for Boundary Value Problem of a Caputo Fractional Difference Equation |
| title_sort | existence of solutions for boundary value problem of a caputo fractional difference equation |
| url | http://dx.doi.org/10.1155/2015/206261 |
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