Analysis and applications of the proportional Caputo derivative
Abstract In this paper, we investigate the analysis of the proportional Caputo derivative that recently has been constructed. We create some useful relations between this new derivative and beta function. We discretize the new derivative. We investigate the stability and obtain a stability condition...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-02-01
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| Series: | Advances in Difference Equations |
| Online Access: | https://doi.org/10.1186/s13662-021-03304-0 |
| _version_ | 1818620008611184640 |
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| author | Ali Akgül Dumitru Baleanu |
| author_facet | Ali Akgül Dumitru Baleanu |
| author_sort | Ali Akgül |
| collection | DOAJ |
| description | Abstract In this paper, we investigate the analysis of the proportional Caputo derivative that recently has been constructed. We create some useful relations between this new derivative and beta function. We discretize the new derivative. We investigate the stability and obtain a stability condition for the new derivative. |
| first_indexed | 2024-12-16T17:46:33Z |
| format | Article |
| id | doaj.art-169407b756844f88bb17a279b2f8e8ab |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-16T17:46:33Z |
| publishDate | 2021-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-169407b756844f88bb17a279b2f8e8ab2022-12-21T22:22:27ZengSpringerOpenAdvances in Difference Equations1687-18472021-02-012021111210.1186/s13662-021-03304-0Analysis and applications of the proportional Caputo derivativeAli Akgül0Dumitru Baleanu1Art and Science Faculty, Department of Mathematics, Siirt UniversityDepartment of Mathematics, Cankaya UniversityAbstract In this paper, we investigate the analysis of the proportional Caputo derivative that recently has been constructed. We create some useful relations between this new derivative and beta function. We discretize the new derivative. We investigate the stability and obtain a stability condition for the new derivative.https://doi.org/10.1186/s13662-021-03304-0 |
| spellingShingle | Ali Akgül Dumitru Baleanu Analysis and applications of the proportional Caputo derivative Advances in Difference Equations |
| title | Analysis and applications of the proportional Caputo derivative |
| title_full | Analysis and applications of the proportional Caputo derivative |
| title_fullStr | Analysis and applications of the proportional Caputo derivative |
| title_full_unstemmed | Analysis and applications of the proportional Caputo derivative |
| title_short | Analysis and applications of the proportional Caputo derivative |
| title_sort | analysis and applications of the proportional caputo derivative |
| url | https://doi.org/10.1186/s13662-021-03304-0 |
| work_keys_str_mv | AT aliakgul analysisandapplicationsoftheproportionalcaputoderivative AT dumitrubaleanu analysisandapplicationsoftheproportionalcaputoderivative |