Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Publisher: search.filters.publisher.Elsevier Science incSubject: search.filters.subject.Ill-Posed Problem

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  • Article
    Citation - WoS: 7
    Citation - Scopus: 7
    On Cauchy Problem for Nonlinear Fractional Differential Equation With Random Discrete Data
    (Elsevier Science inc, 2019) Nguyen Huy Tuan; Baleanu, Dumitru; Tran Bao Ngoc; Nguyen Duc Phuong; Ngoc, Tran Bao; Phuong, Nguyen Duc; Tuan, Nguyen Huy
    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.