Hyers–Ulam stability of linear fractional differential equations with variable coefficients
Abstract Motivated by Shen et al., we apply the Gronwall’s inequality to establish the Hyers–Ulam stability of two types (Riemann–Liouville and Caputo) of linear fractional differential equations with variable coefficients under certain conditions.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-08-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-020-02863-y |
| _version_ | 1828861323316822016 |
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| author | Hui Liu Yongjin Li |
| author_facet | Hui Liu Yongjin Li |
| author_sort | Hui Liu |
| collection | DOAJ |
| description | Abstract Motivated by Shen et al., we apply the Gronwall’s inequality to establish the Hyers–Ulam stability of two types (Riemann–Liouville and Caputo) of linear fractional differential equations with variable coefficients under certain conditions. |
| first_indexed | 2024-12-13T02:59:09Z |
| format | Article |
| id | doaj.art-4b615f006e39482596f2435b4c1affe8 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-13T02:59:09Z |
| publishDate | 2020-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-4b615f006e39482596f2435b4c1affe82022-12-22T00:01:52ZengSpringerOpenAdvances in Difference Equations1687-18472020-08-012020111010.1186/s13662-020-02863-yHyers–Ulam stability of linear fractional differential equations with variable coefficientsHui Liu0Yongjin Li1Department of Mathematics, Sun Yat-sen UniversityDepartment of Mathematics, Sun Yat-sen UniversityAbstract Motivated by Shen et al., we apply the Gronwall’s inequality to establish the Hyers–Ulam stability of two types (Riemann–Liouville and Caputo) of linear fractional differential equations with variable coefficients under certain conditions.http://link.springer.com/article/10.1186/s13662-020-02863-yHyers–Ulam stabilityFractional differential equationsVariable coefficients |
| spellingShingle | Hui Liu Yongjin Li Hyers–Ulam stability of linear fractional differential equations with variable coefficients Advances in Difference Equations Hyers–Ulam stability Fractional differential equations Variable coefficients |
| title | Hyers–Ulam stability of linear fractional differential equations with variable coefficients |
| title_full | Hyers–Ulam stability of linear fractional differential equations with variable coefficients |
| title_fullStr | Hyers–Ulam stability of linear fractional differential equations with variable coefficients |
| title_full_unstemmed | Hyers–Ulam stability of linear fractional differential equations with variable coefficients |
| title_short | Hyers–Ulam stability of linear fractional differential equations with variable coefficients |
| title_sort | hyers ulam stability of linear fractional differential equations with variable coefficients |
| topic | Hyers–Ulam stability Fractional differential equations Variable coefficients |
| url | http://link.springer.com/article/10.1186/s13662-020-02863-y |
| work_keys_str_mv | AT huiliu hyersulamstabilityoflinearfractionaldifferentialequationswithvariablecoefficients AT yongjinli hyersulamstabilityoflinearfractionaldifferentialequationswithvariablecoefficients |