Existence and Uniqueness of Solutions for a Discrete Fractional Mixed Type Sum-Difference Equation Boundary Value Problem
By means of Schauder’s fixed point theorem and contraction mapping principle, we establish the existence and uniqueness of solutions to a boundary value problem for a discrete fractional mixed type sum-difference equation with the nonlinear term dependent on a fractional difference of lower order. M...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/376261 |
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| _version_ | 1832567081700163584 |
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| author | Weidong Lv |
| author_facet | Weidong Lv |
| author_sort | Weidong Lv |
| collection | DOAJ |
| description | By means of Schauder’s fixed point theorem and contraction mapping principle, we establish the existence and uniqueness of solutions to a boundary value problem for a discrete fractional mixed type sum-difference equation with the nonlinear term dependent on a fractional difference of lower order. Moreover, a suitable choice of a Banach space allows the solutions to be unbounded and two representative examples are presented to illustrate the effectiveness of the main results. |
| format | Article |
| id | doaj-art-226b5cc04b2546ecb43c8f552515f597 |
| 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-226b5cc04b2546ecb43c8f552515f5972025-02-03T01:02:17ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/376261376261Existence and Uniqueness of Solutions for a Discrete Fractional Mixed Type Sum-Difference Equation Boundary Value ProblemWeidong Lv0School of Mathematics and Statistics, Longdong University, Qingyang, Gansu 745000, ChinaBy means of Schauder’s fixed point theorem and contraction mapping principle, we establish the existence and uniqueness of solutions to a boundary value problem for a discrete fractional mixed type sum-difference equation with the nonlinear term dependent on a fractional difference of lower order. Moreover, a suitable choice of a Banach space allows the solutions to be unbounded and two representative examples are presented to illustrate the effectiveness of the main results.http://dx.doi.org/10.1155/2015/376261 |
| spellingShingle | Weidong Lv Existence and Uniqueness of Solutions for a Discrete Fractional Mixed Type Sum-Difference Equation Boundary Value Problem Discrete Dynamics in Nature and Society |
| title | Existence and Uniqueness of Solutions for a Discrete Fractional Mixed Type Sum-Difference Equation Boundary Value Problem |
| title_full | Existence and Uniqueness of Solutions for a Discrete Fractional Mixed Type Sum-Difference Equation Boundary Value Problem |
| title_fullStr | Existence and Uniqueness of Solutions for a Discrete Fractional Mixed Type Sum-Difference Equation Boundary Value Problem |
| title_full_unstemmed | Existence and Uniqueness of Solutions for a Discrete Fractional Mixed Type Sum-Difference Equation Boundary Value Problem |
| title_short | Existence and Uniqueness of Solutions for a Discrete Fractional Mixed Type Sum-Difference Equation Boundary Value Problem |
| title_sort | existence and uniqueness of solutions for a discrete fractional mixed type sum difference equation boundary value problem |
| url | http://dx.doi.org/10.1155/2015/376261 |
| work_keys_str_mv | AT weidonglv existenceanduniquenessofsolutionsforadiscretefractionalmixedtypesumdifferenceequationboundaryvalueproblem |