Stability of the mixed Caputo fractional integro-differential equation by means of weighted space method
In this research work, we consider a class of nonlinear fractional integro-differential equations containing Caputo fractional derivative and integral derivative. We discuss the stabilities of Ulam-Hyers, Ulam-Hyers-Rassias, semi-Ulam-Hyers-Rassias for the nonlinear fractional integro-differential e...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022140?viewType=HTML |
| _version_ | 1798025516039536640 |
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| author | Qun Dai Shidong Liu |
| author_facet | Qun Dai Shidong Liu |
| author_sort | Qun Dai |
| collection | DOAJ |
| description | In this research work, we consider a class of nonlinear fractional integro-differential equations containing Caputo fractional derivative and integral derivative. We discuss the stabilities of Ulam-Hyers, Ulam-Hyers-Rassias, semi-Ulam-Hyers-Rassias for the nonlinear fractional integro-differential equations in terms of weighted space method and Banach fixed-point theorem. After the demonstration of our results, an example is given to illustrate the results we obtained. |
| first_indexed | 2024-04-11T18:19:56Z |
| format | Article |
| id | doaj.art-8a0326d0d01a405682e1670271eb8aea |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T18:19:56Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-8a0326d0d01a405682e1670271eb8aea2022-12-22T04:09:47ZengAIMS PressAIMS Mathematics2473-69882022-01-01722498251110.3934/math.2022140Stability of the mixed Caputo fractional integro-differential equation by means of weighted space methodQun Dai0Shidong Liu1School of Mathematics and Statistics, Changchun University of Science and Technology, Changchun 130022, ChinaSchool of Mathematics and Statistics, Changchun University of Science and Technology, Changchun 130022, ChinaIn this research work, we consider a class of nonlinear fractional integro-differential equations containing Caputo fractional derivative and integral derivative. We discuss the stabilities of Ulam-Hyers, Ulam-Hyers-Rassias, semi-Ulam-Hyers-Rassias for the nonlinear fractional integro-differential equations in terms of weighted space method and Banach fixed-point theorem. After the demonstration of our results, an example is given to illustrate the results we obtained.https://www.aimspress.com/article/doi/10.3934/math.2022140?viewType=HTMLmixed caputo fractional derivativeweighted space methodulam-hyers stabilityulam-hyers-rassias stabilitysemi-ulam-hyers-rassias stability |
| spellingShingle | Qun Dai Shidong Liu Stability of the mixed Caputo fractional integro-differential equation by means of weighted space method AIMS Mathematics mixed caputo fractional derivative weighted space method ulam-hyers stability ulam-hyers-rassias stability semi-ulam-hyers-rassias stability |
| title | Stability of the mixed Caputo fractional integro-differential equation by means of weighted space method |
| title_full | Stability of the mixed Caputo fractional integro-differential equation by means of weighted space method |
| title_fullStr | Stability of the mixed Caputo fractional integro-differential equation by means of weighted space method |
| title_full_unstemmed | Stability of the mixed Caputo fractional integro-differential equation by means of weighted space method |
| title_short | Stability of the mixed Caputo fractional integro-differential equation by means of weighted space method |
| title_sort | stability of the mixed caputo fractional integro differential equation by means of weighted space method |
| topic | mixed caputo fractional derivative weighted space method ulam-hyers stability ulam-hyers-rassias stability semi-ulam-hyers-rassias stability |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022140?viewType=HTML |
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