On a nonlocal problem for parabolic equation with time dependent coefficients
Abstract This paper is devoted to the study of existence and uniqueness of a mild solution for a parabolic equation with conformable derivative. The nonlocal problem for parabolic equations appears in many various applications, such as physics, biology. The first part of this paper is to consider th...
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| Format: | Article |
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SpringerOpen
2021-04-01
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| Series: | Advances in Difference Equations |
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| Online Access: | https://doi.org/10.1186/s13662-021-03370-4 |
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doaj-966373ed01974d5fbd4fc748396f44ca2021-04-18T11:44:18ZengSpringerOpenAdvances in Difference Equations1687-18472021-04-012021111210.1186/s13662-021-03370-4On a nonlocal problem for parabolic equation with time dependent coefficientsNguyen Duc Phuong0Ho Duy Binh1Le Dinh Long2Dang Van Yen3Faculty of Fundamental Science, Industrial University of Ho Chi Minh CityDivision of Applied Mathematics, Thu Dau Mot UniversityDivision of Applied Mathematics, Thu Dau Mot UniversityFaculty of Information Technology, Ho Chi Minh City University of TechnologyAbstract This paper is devoted to the study of existence and uniqueness of a mild solution for a parabolic equation with conformable derivative. The nonlocal problem for parabolic equations appears in many various applications, such as physics, biology. The first part of this paper is to consider the well-posedness and regularity of the mild solution. The second one is to investigate the existence by using Banach fixed point theory.https://doi.org/10.1186/s13662-021-03370-4Parabolic equationExistence and regularityConformable derivative |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nguyen Duc Phuong Ho Duy Binh Le Dinh Long Dang Van Yen |
| spellingShingle |
Nguyen Duc Phuong Ho Duy Binh Le Dinh Long Dang Van Yen On a nonlocal problem for parabolic equation with time dependent coefficients Advances in Difference Equations Parabolic equation Existence and regularity Conformable derivative |
| author_facet |
Nguyen Duc Phuong Ho Duy Binh Le Dinh Long Dang Van Yen |
| author_sort |
Nguyen Duc Phuong |
| title |
On a nonlocal problem for parabolic equation with time dependent coefficients |
| title_short |
On a nonlocal problem for parabolic equation with time dependent coefficients |
| title_full |
On a nonlocal problem for parabolic equation with time dependent coefficients |
| title_fullStr |
On a nonlocal problem for parabolic equation with time dependent coefficients |
| title_full_unstemmed |
On a nonlocal problem for parabolic equation with time dependent coefficients |
| title_sort |
on a nonlocal problem for parabolic equation with time dependent coefficients |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2021-04-01 |
| description |
Abstract This paper is devoted to the study of existence and uniqueness of a mild solution for a parabolic equation with conformable derivative. The nonlocal problem for parabolic equations appears in many various applications, such as physics, biology. The first part of this paper is to consider the well-posedness and regularity of the mild solution. The second one is to investigate the existence by using Banach fixed point theory. |
| topic |
Parabolic equation Existence and regularity Conformable derivative |
| url |
https://doi.org/10.1186/s13662-021-03370-4 |
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