The Ulam Stability of Fractional Differential Equation with the Caputo-Fabrizio Derivative
The aim of this paper is to establish the Ulam stability of the Caputo-Fabrizio fractional differential equation with integral boundary condition. We also present the existence and uniqueness results of the solution for the Caputo-Fabrizio fractional differential equation by Krasnoselskii’s fixed po...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/7268518 |
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| author | Shuyi Wang |
| author_facet | Shuyi Wang |
| author_sort | Shuyi Wang |
| collection | DOAJ |
| description | The aim of this paper is to establish the Ulam stability of the Caputo-Fabrizio fractional differential equation with integral boundary condition. We also present the existence and uniqueness results of the solution for the Caputo-Fabrizio fractional differential equation by Krasnoselskii’s fixed point theorem and Banach fixed point theorem. Some examples are provided to illustrate our theorems. |
| format | Article |
| id | doaj-art-e31c524d5b5a4bdc86e68a243bdb74f3 |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e31c524d5b5a4bdc86e68a243bdb74f32025-08-20T02:21:14ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/7268518The Ulam Stability of Fractional Differential Equation with the Caputo-Fabrizio DerivativeShuyi Wang0School of Mathematical SciencesThe aim of this paper is to establish the Ulam stability of the Caputo-Fabrizio fractional differential equation with integral boundary condition. We also present the existence and uniqueness results of the solution for the Caputo-Fabrizio fractional differential equation by Krasnoselskii’s fixed point theorem and Banach fixed point theorem. Some examples are provided to illustrate our theorems.http://dx.doi.org/10.1155/2022/7268518 |
| spellingShingle | Shuyi Wang The Ulam Stability of Fractional Differential Equation with the Caputo-Fabrizio Derivative Journal of Function Spaces |
| title | The Ulam Stability of Fractional Differential Equation with the Caputo-Fabrizio Derivative |
| title_full | The Ulam Stability of Fractional Differential Equation with the Caputo-Fabrizio Derivative |
| title_fullStr | The Ulam Stability of Fractional Differential Equation with the Caputo-Fabrizio Derivative |
| title_full_unstemmed | The Ulam Stability of Fractional Differential Equation with the Caputo-Fabrizio Derivative |
| title_short | The Ulam Stability of Fractional Differential Equation with the Caputo-Fabrizio Derivative |
| title_sort | ulam stability of fractional differential equation with the caputo fabrizio derivative |
| url | http://dx.doi.org/10.1155/2022/7268518 |
| work_keys_str_mv | AT shuyiwang theulamstabilityoffractionaldifferentialequationwiththecaputofabrizioderivative AT shuyiwang ulamstabilityoffractionaldifferentialequationwiththecaputofabrizioderivative |