On a Kirchhoff Diffusion Equation With Integral Condition
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Nguyen Hoang Luc | |
| dc.contributor.author | Nguyen Huu Can | |
| dc.contributor.author | Danh Hua Quoc Nam | |
| dc.date.accessioned | 2022-10-04T12:35:24Z | |
| dc.date.accessioned | 2025-09-18T14:09:37Z | |
| dc.date.available | 2022-10-04T12:35:24Z | |
| dc.date.available | 2025-09-18T14:09:37Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | This paper is devoted to Kirchhoff-type parabolic problem with nonlocal integral condition. Our problem has many applications in modeling physical and biological phenomena. The first part of our paper concerns the local existence of the mild solution in Hilbert scales. Our results can be studied into two cases: homogeneous case and inhomogeneous case. In order to overcome difficulties, we applied Banach fixed point theorem and some new techniques on Sobolev spaces. The second part of the paper is to derive the ill-posedness of the mild solution in the sense of Hadamard. | en_US |
| dc.description.sponsorship | Thu Dau Mot University [DT.20.2-039] | en_US |
| dc.description.sponsorship | This research is funded by Thu Dau Mot University under grant number DT.20.2-039. | en_US |
| dc.identifier.citation | Nam, Danh Hua Quoc...et al. (2020). "On a Kirchhoff diffusion equation with integral condition", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-03077-y | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85094646375 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-03077-y | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13444 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Kirchhoff-Type Problems | en_US |
| dc.subject | Nonlocal Problem | en_US |
| dc.subject | Well-Posedness | en_US |
| dc.subject | Regularization | en_US |
| dc.subject | 35R11 | en_US |
| dc.subject | 35B65 | en_US |
| dc.subject | 26A33 | en_US |
| dc.title | On a Kirchhoff Diffusion Equation With Integral Condition | en_US |
| dc.title | On a Kirchhoff diffusion equation with integral condition | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Danh, Hua Quoc Nam/Hto-6503-2023 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Nguyen, Can/R-4820-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Danh Hua Quoc Nam] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Baleanu, Dumitru] Inst Space Sci, POB MG-23, R-76900 Magurele, Romania; [Nguyen Hoang Luc] Duy Tan Univ, Inst Res & Dev, Da Nang, Vietnam; [Nguyen Huu Can] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2020 | en_US |
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| gdc.oaire.keywords | Mathematical analysis | |
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| gdc.oaire.keywords | Banach fixed-point theorem | |
| gdc.oaire.keywords | Regularization | |
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| gdc.oaire.keywords | Multiscale Methods for Heterogeneous Systems | |
| gdc.oaire.keywords | Homogeneous | |
| gdc.oaire.keywords | Fixed-point theorem | |
| gdc.oaire.keywords | Hadamard transform | |
| gdc.oaire.keywords | Kirchhoff-type problems | |
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| gdc.oaire.keywords | Sobolev space | |
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| gdc.oaire.keywords | Well-posedness | |
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| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
| gdc.oaire.keywords | Asymptotic behavior of solutions to PDEs | |
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