On the nonlinear Volterra equation with conformable derivative
In this paper, we are interested to study a nonlinear Volterra equation with conformable derivative. This kind of such equation has various applications, for example physics, mechanical engineering, heat conduction theory. First, we show that our problem have a mild soltution which exists locally i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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ATNAA
2023-07-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://atnaea.org/index.php/journal/article/view/52/52 |
| _version_ | 1797248467858358272 |
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| author | Tuan NGUYEN HOANG Hai NGUYEN MİNH Nguyen Duc PHUONG |
| author_facet | Tuan NGUYEN HOANG Hai NGUYEN MİNH Nguyen Duc PHUONG |
| author_sort | Tuan NGUYEN HOANG |
| collection | DOAJ |
| description | In this paper, we are interested to study a nonlinear Volterra equation with conformable derivative. This kind of such equation has various applications, for example physics, mechanical engineering, heat conduction theory.
First, we show that our problem have a mild soltution which exists locally in time. Then we prove that the convergence of the mild solution when the parameter tends to zero. |
| first_indexed | 2024-04-24T20:15:03Z |
| format | Article |
| id | doaj.art-401a489ceba44a37a8300b64206bfb45 |
| institution | Directory Open Access Journal |
| issn | 2587-2648 |
| language | English |
| last_indexed | 2024-04-24T20:15:03Z |
| publishDate | 2023-07-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-401a489ceba44a37a8300b64206bfb452024-03-22T18:45:56ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482023-07-017229230210.31197/atnaa.%201281575On the nonlinear Volterra equation with conformable derivativeTuan NGUYEN HOANG0Hai NGUYEN MİNH1Nguyen Duc PHUONG2Vietnam National University, VietnamBanking University of Ho Chi Minh City, VietnamIndustrial University of Ho Chi Minh City, VietnamIn this paper, we are interested to study a nonlinear Volterra equation with conformable derivative. This kind of such equation has various applications, for example physics, mechanical engineering, heat conduction theory. First, we show that our problem have a mild soltution which exists locally in time. Then we prove that the convergence of the mild solution when the parameter tends to zero.https://atnaea.org/index.php/journal/article/view/52/52conformable differential equationmemory termlocal existencebanach fixed point theorem |
| spellingShingle | Tuan NGUYEN HOANG Hai NGUYEN MİNH Nguyen Duc PHUONG On the nonlinear Volterra equation with conformable derivative Advances in the Theory of Nonlinear Analysis and its Applications conformable differential equation memory term local existence banach fixed point theorem |
| title | On the nonlinear Volterra equation with conformable derivative |
| title_full | On the nonlinear Volterra equation with conformable derivative |
| title_fullStr | On the nonlinear Volterra equation with conformable derivative |
| title_full_unstemmed | On the nonlinear Volterra equation with conformable derivative |
| title_short | On the nonlinear Volterra equation with conformable derivative |
| title_sort | on the nonlinear volterra equation with conformable derivative |
| topic | conformable differential equation memory term local existence banach fixed point theorem |
| url | https://atnaea.org/index.php/journal/article/view/52/52 |
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