Existence of solutions for fractional difference equations via topological degree methods
Abstract In this paper, a class of nonlinear fractional difference equations with Caputo-like difference operator is considered. Some existence results for the given equation are obtained by means of topological degree methods. Three examples are constructed for the illustration of the obtained theo...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-04-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1610-2 |
| _version_ | 1818037301833367552 |
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| author | Jia Wei He Lu Zhang Yong Zhou Bashir Ahmad |
| author_facet | Jia Wei He Lu Zhang Yong Zhou Bashir Ahmad |
| author_sort | Jia Wei He |
| collection | DOAJ |
| description | Abstract In this paper, a class of nonlinear fractional difference equations with Caputo-like difference operator is considered. Some existence results for the given equation are obtained by means of topological degree methods. Three examples are constructed for the illustration of the obtained theory. |
| first_indexed | 2024-12-10T07:24:41Z |
| format | Article |
| id | doaj.art-1f1373772e6a48b89a88f55f64fc6fbf |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-10T07:24:41Z |
| publishDate | 2018-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-1f1373772e6a48b89a88f55f64fc6fbf2022-12-22T01:57:44ZengSpringerOpenAdvances in Difference Equations1687-18472018-04-012018111210.1186/s13662-018-1610-2Existence of solutions for fractional difference equations via topological degree methodsJia Wei He0Lu Zhang1Yong Zhou2Bashir Ahmad3Faculty of Mathematics and Computational Science, Xiangtan UniversityFaculty of Mathematics and Computational Science, Xiangtan UniversityFaculty of Mathematics and Computational Science, Xiangtan UniversityNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz UniversityAbstract In this paper, a class of nonlinear fractional difference equations with Caputo-like difference operator is considered. Some existence results for the given equation are obtained by means of topological degree methods. Three examples are constructed for the illustration of the obtained theory.http://link.springer.com/article/10.1186/s13662-018-1610-2Fractional differences equationsCaputo-like difference operatorExistenceTopological degree methods |
| spellingShingle | Jia Wei He Lu Zhang Yong Zhou Bashir Ahmad Existence of solutions for fractional difference equations via topological degree methods Advances in Difference Equations Fractional differences equations Caputo-like difference operator Existence Topological degree methods |
| title | Existence of solutions for fractional difference equations via topological degree methods |
| title_full | Existence of solutions for fractional difference equations via topological degree methods |
| title_fullStr | Existence of solutions for fractional difference equations via topological degree methods |
| title_full_unstemmed | Existence of solutions for fractional difference equations via topological degree methods |
| title_short | Existence of solutions for fractional difference equations via topological degree methods |
| title_sort | existence of solutions for fractional difference equations via topological degree methods |
| topic | Fractional differences equations Caputo-like difference operator Existence Topological degree methods |
| url | http://link.springer.com/article/10.1186/s13662-018-1610-2 |
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