Regularity Results for Fractional Diffusion Equations Involving Fractional Derivative With Mittag-Leffler Kernel
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Duc Le Thi Minh | |
| dc.contributor.author | Tuan Nguyen Huy | |
| dc.contributor.author | Ngoc Tran Bao | |
| dc.contributor.author | Nguyen Huy, Tuan | |
| dc.contributor.author | Tran Bao, Ngoc | |
| dc.contributor.author | Bao, Ngoc Tran | |
| dc.contributor.author | Le Thi Minh, Duc | |
| dc.contributor.author | Minh, Duc Le Thi | |
| dc.contributor.author | Huy, Tuan Nguyen | |
| dc.date.accessioned | 2021-01-07T11:43:07Z | |
| dc.date.accessioned | 2025-09-18T12:47:22Z | |
| dc.date.available | 2021-01-07T11:43:07Z | |
| dc.date.available | 2025-09-18T12:47:22Z | |
| dc.date.issued | 2020 | |
| dc.description | Nguyen Huy, Tuan/0000-0002-6962-1898 | en_US |
| dc.description.abstract | This paper studies partial differential equation model with the new general fractional derivatives involving the kernels of the extended Mittag-Leffler type functions. An initial boundary value problem for the anomalous diffusion of fractional order is analyzed and considered. The fractional derivative with Mittag-Leffler kernel or also called Atangana and Baleanu fractional derivative in time is taken in the Caputo sense. We obtain results on the existence, uniqueness, and regularity of the solution. | en_US |
| dc.description.sponsorship | Vietnam National Foundation for Science and Technology Development (NAFOSTED) [101.02-2019.09] | en_US |
| dc.description.sponsorship | This work does not have any conflicts of interest. This research was supported by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.02-2019.09. | en_US |
| dc.description.sponsorship | Vietnam National Foundation for Science and Technology Development; National Foundation for Science and Technology Development, NAFOSTED, (101.02‐2019.09) | |
| dc.identifier.citation | Bao, Ngoc Tran...et al. (2020). "Regularity results for fractional diffusion equations involving fractional derivative with Mittag-Leffler kernel", Mathematical Methods in the Applied Sciences, Vol. 43, No. 12, pp. 7208-7226. | en_US |
| dc.identifier.doi | 10.1002/mma.6459 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85085551531 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.6459 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11784 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Atangana-Baleanu Operator | en_US |
| dc.subject | Existence | en_US |
| dc.subject | Fractional Diffusion Equation | en_US |
| dc.subject | Initial Value Problem | en_US |
| dc.subject | Regularity | en_US |
| dc.subject | Atangana–Baleanu Operator | |
| dc.title | Regularity Results for Fractional Diffusion Equations Involving Fractional Derivative With Mittag-Leffler Kernel | en_US |
| dc.title | Regularity results for fractional diffusion equations involving fractional derivative with Mittag-Leffler kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Nguyen Huy, Tuan/0000-0002-6962-1898 | |
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| gdc.author.wosid | Nguyen, Tuan/E-3617-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ngoc Tran Bao] Duy Tan Univ, Inst Res & Dev, Da Nang, Vietnam; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Duc Le Thi Minh] Univ Sci, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam; [Duc Le Thi Minh] Vietnam Natl Univ, Ho Chi Minh City, Vietnam; [Tuan Nguyen Huy] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam | en_US |
| gdc.description.endpage | 7226 | en_US |
| gdc.description.issue | 12 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 7208 | en_US |
| gdc.description.volume | 43 | en_US |
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| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Atangana-Baleanu operator | |
| gdc.oaire.keywords | Smoothness and regularity of solutions to PDEs | |
| gdc.oaire.keywords | existence | |
| gdc.oaire.keywords | Initial value problems for second-order parabolic equations | |
| gdc.oaire.keywords | Fractional partial differential equations | |
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