On the Fractional Diffusion Equation Associated With Exponential Source and Operator With Exponential Kernel
| dc.contributor.author | Nguyen, Van Tien | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nguyen, Van Thinh | |
| dc.contributor.author | Nguyen, Anh Tuan | |
| dc.date.accessioned | 2024-01-17T13:33:37Z | |
| dc.date.accessioned | 2025-09-18T16:08:24Z | |
| dc.date.available | 2024-01-17T13:33:37Z | |
| dc.date.available | 2025-09-18T16:08:24Z | |
| dc.date.issued | 2023 | |
| dc.description | Nguyen, Van Thinh/0000-0002-7408-2585; Nguyen, Van Tien/0000-0002-0975-9131 | en_US |
| 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. | en_US |
| dc.description.sponsorship | National Research Foundation of Korea [NRF-2020K1A3A1A05101 625]; Institute of Construction and Environmental Engineering at Seoul National University | en_US |
| dc.description.sponsorship | National Research Foundation of Korea (Grant No. NRF-2020K1A3A1A05101 625; Funder ID: 10.13039/501100003725).Institute of Construction and Environmental Engineering at Seoul National University (Funder ID: 10.13039/501100013824). | en_US |
| 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. | en_US |
| dc.identifier.doi | 10.1115/1.4062198 | |
| dc.identifier.issn | 1555-1423 | |
| dc.identifier.issn | 1555-1415 | |
| dc.identifier.scopus | 2-s2.0-85194531859 | |
| dc.identifier.uri | https://doi.org/10.1115/1.4062198 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/15055 | |
| dc.language.iso | en | en_US |
| dc.publisher | Asme | en_US |
| dc.relation.ispartof | Journal of Computational and Nonlinear Dynamics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Caputo-Fabrizio | en_US |
| dc.subject | Exponential Nonlinearity | en_US |
| dc.subject | Global Well-Posedness | en_US |
| dc.subject | Global Existence | en_US |
| dc.title | On the Fractional Diffusion Equation Associated With Exponential Source and Operator With Exponential Kernel | en_US |
| dc.title | On the Fractional Diffusion Equation Associated With Exponential Source and Operator With Exponential Kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Nguyen, Van Thinh/0000-0002-7408-2585 | |
| gdc.author.id | Nguyen, Van Tien/0000-0002-0975-9131 | |
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| gdc.author.wosid | Nguyen, Tuan/Acg-0465-2022 | |
| gdc.author.wosid | Nguyen, Van Thinh/Htn-3946-2023 | |
| gdc.author.wosid | Nguyen, Tien/Gpt-1116-2022 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Nguyen, Anh Tuan] Van Lang Univ, Sci & Technol Adv Inst, Div Appl Math, Ho Chi Minh City 717349, Vietnam; [Nguyen, Anh Tuan] Van Lang Univ, Fac Appl Technol, Sch Technol, Ho Chi Minh City 717349, Vietnam; [Nguyen, Van Tien] FPT Univ HCM, Fac Maths, Saigon Hitech Pk, Ho Chi Minh City 720325, Vietnam; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkiye; [Baleanu, Dumitru] Inst Space Sci, POB MG 23, R-76900 Magurele, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [Nguyen, Van Thinh] Seoul Natl Univ, Dept Civil & Environm Engn, Seoul 08826, South Korea | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 18 | en_US |
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