Solvability of a Boundary Value Problem Involving Fractional Difference Equations
In this current work, we apply the topological degree and fixed point theorems to investigate the existence, uniqueness, and multiplicity of solutions for a boundary value problem associated with a fractional-order difference equation. Moreover, we provide some appropriate examples to verify our mai...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-06-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/7/650 |
| _version_ | 1797590316166938624 |
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| author | Zhiwei Lv Chun Wu Donal O’Regan Jiafa Xu |
| author_facet | Zhiwei Lv Chun Wu Donal O’Regan Jiafa Xu |
| author_sort | Zhiwei Lv |
| collection | DOAJ |
| description | In this current work, we apply the topological degree and fixed point theorems to investigate the existence, uniqueness, and multiplicity of solutions for a boundary value problem associated with a fractional-order difference equation. Moreover, we provide some appropriate examples to verify our main conclusions. |
| first_indexed | 2024-03-11T01:18:51Z |
| format | Article |
| id | doaj.art-ae86beae61e84c6aafda740b8abe8c63 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T01:18:51Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-ae86beae61e84c6aafda740b8abe8c632023-11-18T18:17:32ZengMDPI AGAxioms2075-16802023-06-0112765010.3390/axioms12070650Solvability of a Boundary Value Problem Involving Fractional Difference EquationsZhiwei Lv0Chun Wu1Donal O’Regan2Jiafa Xu3School of Sciences and Arts, Suqian University, Suqian 223800, ChinaSchool of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, ChinaSchool of Mathematical and Statistical Sciences, University of Galway, H91 TK33 Galway, IrelandSchool of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, ChinaIn this current work, we apply the topological degree and fixed point theorems to investigate the existence, uniqueness, and multiplicity of solutions for a boundary value problem associated with a fractional-order difference equation. Moreover, we provide some appropriate examples to verify our main conclusions.https://www.mdpi.com/2075-1680/12/7/650fractional difference equationsboundary value problemssolvabilityfixed-point theory |
| spellingShingle | Zhiwei Lv Chun Wu Donal O’Regan Jiafa Xu Solvability of a Boundary Value Problem Involving Fractional Difference Equations Axioms fractional difference equations boundary value problems solvability fixed-point theory |
| title | Solvability of a Boundary Value Problem Involving Fractional Difference Equations |
| title_full | Solvability of a Boundary Value Problem Involving Fractional Difference Equations |
| title_fullStr | Solvability of a Boundary Value Problem Involving Fractional Difference Equations |
| title_full_unstemmed | Solvability of a Boundary Value Problem Involving Fractional Difference Equations |
| title_short | Solvability of a Boundary Value Problem Involving Fractional Difference Equations |
| title_sort | solvability of a boundary value problem involving fractional difference equations |
| topic | fractional difference equations boundary value problems solvability fixed-point theory |
| url | https://www.mdpi.com/2075-1680/12/7/650 |
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