Maximum Principle for the Space-Time Fractional Conformable Differential System Involving the Fractional Laplace Operator
In this paper, the authors consider a IBVP for the time-space fractional PDE with the fractional conformable derivative and the fractional Laplace operator. A fractional conformable extremum principle is presented and proved. Based on the extremum principle, a maximum principle for the fractional co...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/7213146 |
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| author | Tingting Guan Guotao Wang |
| author_facet | Tingting Guan Guotao Wang |
| author_sort | Tingting Guan |
| collection | DOAJ |
| description | In this paper, the authors consider a IBVP for the time-space fractional PDE with the fractional conformable derivative and the fractional Laplace operator. A fractional conformable extremum principle is presented and proved. Based on the extremum principle, a maximum principle for the fractional conformable Laplace system is established. Furthermore, the maximum principle is applied to the linear space-time fractional Laplace conformable differential system to obtain a new comparison theorem. Besides that, the uniqueness and continuous dependence of the solution of the above system are also proved. |
| format | Article |
| id | doaj-art-317b64e7c1444e18b0bf0b15ba79c5c0 |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-317b64e7c1444e18b0bf0b15ba79c5c02025-08-20T02:38:53ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/72131467213146Maximum Principle for the Space-Time Fractional Conformable Differential System Involving the Fractional Laplace OperatorTingting Guan0Guotao Wang1School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, Shanxi, ChinaSchool of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, Shanxi, ChinaIn this paper, the authors consider a IBVP for the time-space fractional PDE with the fractional conformable derivative and the fractional Laplace operator. A fractional conformable extremum principle is presented and proved. Based on the extremum principle, a maximum principle for the fractional conformable Laplace system is established. Furthermore, the maximum principle is applied to the linear space-time fractional Laplace conformable differential system to obtain a new comparison theorem. Besides that, the uniqueness and continuous dependence of the solution of the above system are also proved.http://dx.doi.org/10.1155/2020/7213146 |
| spellingShingle | Tingting Guan Guotao Wang Maximum Principle for the Space-Time Fractional Conformable Differential System Involving the Fractional Laplace Operator Journal of Mathematics |
| title | Maximum Principle for the Space-Time Fractional Conformable Differential System Involving the Fractional Laplace Operator |
| title_full | Maximum Principle for the Space-Time Fractional Conformable Differential System Involving the Fractional Laplace Operator |
| title_fullStr | Maximum Principle for the Space-Time Fractional Conformable Differential System Involving the Fractional Laplace Operator |
| title_full_unstemmed | Maximum Principle for the Space-Time Fractional Conformable Differential System Involving the Fractional Laplace Operator |
| title_short | Maximum Principle for the Space-Time Fractional Conformable Differential System Involving the Fractional Laplace Operator |
| title_sort | maximum principle for the space time fractional conformable differential system involving the fractional laplace operator |
| url | http://dx.doi.org/10.1155/2020/7213146 |
| work_keys_str_mv | AT tingtingguan maximumprincipleforthespacetimefractionalconformabledifferentialsysteminvolvingthefractionallaplaceoperator AT guotaowang maximumprincipleforthespacetimefractionalconformabledifferentialsysteminvolvingthefractionallaplaceoperator |