On Cauchy Problem for Nonlinear Fractional Differential Equation With Random Discrete Data
| dc.contributor.author | Nguyen Huy Tuan | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Tran Bao Ngoc | |
| dc.contributor.author | Nguyen Duc Phuong | |
| dc.date.accessioned | 2020-01-30T13:02:16Z | |
| dc.date.accessioned | 2025-09-18T12:05:27Z | |
| dc.date.available | 2020-01-30T13:02:16Z | |
| dc.date.available | 2025-09-18T12:05:27Z | |
| dc.date.issued | 2019 | |
| dc.description | Phuong, Nguyen Duc/0000-0003-3779-197X; Nguyen Huy, Tuan/0000-0002-6962-1898; Tran Bao, Ngoc/0000-0003-1600-5845 | en_US |
| dc.description.abstract | This paper is concerned with finding the solution u (x, t) of the Cauchy problem for nonlinear fractional elliptic equation with perturbed input data. This study shows that our forward problem is severely ill-posed in sense of Hadamard. For this ill-posed problem, the trigonometric of non-parametric regression associated with the truncation method is applied to construct a regularized solution. Under prior assumptions for the exact solution, the convergence rate is obtained in both L-2 and H-q (for q > 0) norm. Moreover, the numerical example is also investigated to justify our results. (C) 2019 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | Vietnam National Foundation for Science and Technology Development (NAFOSTED) [101.02-2019.09] | en_US |
| dc.description.sponsorship | This research was supported by Vietnam National Foundation for Science and Technology Development (NAFOSTED) Under Grant Number 101.02-2019.09 | en_US |
| dc.identifier.citation | Nguyen Duc Phuong; Nguyen Huy Tuan...et al. (2019). "On Cauchy problem for nonlinear fractional differential equation with random discrete data", Applied Mathematics and Computation, Vol. 362. | en_US |
| dc.identifier.doi | 10.1016/j.amc.2019.05.029 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.issn | 1873-5649 | |
| dc.identifier.scopus | 2-s2.0-85068465841 | |
| dc.identifier.uri | https://doi.org/10.1016/j.amc.2019.05.029 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10627 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science inc | en_US |
| dc.relation.ispartof | Applied Mathematics and Computation | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Derivative | en_US |
| dc.subject | Ill-Posed Problem | en_US |
| dc.subject | Elliptic Equation | en_US |
| dc.subject | Random Noise | en_US |
| dc.subject | Regularized Solution | en_US |
| dc.title | On Cauchy Problem for Nonlinear Fractional Differential Equation With Random Discrete Data | en_US |
| dc.title | On Cauchy problem for nonlinear fractional differential equation with random discrete data | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Phuong, Nguyen Duc/0000-0003-3779-197X | |
| gdc.author.id | Nguyen Huy, Tuan/0000-0002-6962-1898 | |
| gdc.author.id | Tran Bao, Ngoc/0000-0003-1600-5845 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Nguyen, Tuan/E-3617-2019 | |
| gdc.author.wosid | Nguyen, Tuan/C-6183-2015 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Nguyen Duc Phuong] Ind Univ Ho Chi Minh City, Fac Fundamental Sci, Ho Chi Minh City, Vietnam; [Nguyen Duc Phuong] VNUHCM Univ Sci, Dept Math & Comp Sci, 227 Nguyen Van Cu Str,Dist 5, Hochiminh City, Vietnam; [Nguyen Huy Tuan] Ton Duc Thang Univ, Appl Anal Res Grp, Fac Math & Stat, Ho Chi Minh City, Vietnam; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Tran Bao Ngoc] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 124458 | |
| gdc.description.volume | 362 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | random noise | |
| gdc.oaire.keywords | Inverse problems for PDEs | |
| gdc.oaire.keywords | regularized solution | |
| gdc.oaire.keywords | elliptic equation | |
| gdc.oaire.keywords | fractional derivative | |
| gdc.oaire.keywords | PDEs with randomness, stochastic partial differential equations | |
| gdc.oaire.keywords | ill-posed problem | |
| gdc.oaire.keywords | Fractional partial differential equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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