dc.contributor.author |
Nguyen, Anh Tuan
|
|
dc.contributor.author |
Nguyen, Van Tien
|
|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.contributor.author |
Nguyen, Van Thinh
|
|
dc.date.accessioned |
2024-01-17T13:33:37Z |
|
dc.date.available |
2024-01-17T13:33:37Z |
|
dc.date.issued |
2023-05-01 |
|
dc.identifier.citation |
Nguyen, Anh Tuan;...et.al. (2023). "On the Fractional Diffusion Equation Associated With Exponential Source and Operator With Exponential Kernel", Journal Of Computational And Nonlinear Dynamics, Vol.18, No.5. |
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dc.identifier.issn |
1555-1423 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/6916 |
|
dc.description.abstract |
In this paper, we investigate the well-posedness of mild solutions of the time-fractional diffusion equation with an exponential source function and the Caputo-Fabrizio derivative of a fractional order a is an element of ( 0 , 1 ). Some linear estimates of the solution kernels on Hilbert scale spaces are constructed using a spectrum of the Dirichlet Laplacian. Based on the Banach fixed point theorem, the global existence and uniqueness of the small-data mild solution are approved. This work is considered the first study on the time-fractional diffusion equation with a nonlinear function for all common dimensions of 1, 2, and 3. |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.1115/1.4062198 |
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dc.rights |
info:eu-repo/semantics/closedAccess |
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dc.subject |
Caputo-Fabrizio |
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dc.subject |
Exponential Nonlinearity |
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dc.subject |
Global Well-Posednessg |
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dc.subject |
Lobal Existence |
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dc.title |
On the Fractional Diffusion Equation Associated With Exponential Source and Operator With Exponential Kernel |
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dc.type |
article |
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dc.relation.journal |
Journal Of Computational And Nonlinear Dynamics |
tr_TR |
dc.contributor.authorID |
56389 |
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dc.identifier.volume |
18 |
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dc.identifier.issue |
5 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü |
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