Inverse source problem for time fractional diffusion equation with Mittag-Leffler kernel

Autor:	Nguyen Huu Can, Nguyen Hoang Luc, Dumitru Baleanu, Yong Zhou, Le Dinh Long
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Atangana–Baleanu derivative Ill-posed problem Time fractional diffusion equation Convergence estimates Regularization method Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-18 (2020)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-020-02657-2
Popis:	Abstract In this work, we study the problem to identify an unknown source term for the Atangana–Baleanu fractional derivative. In general, the problem is severely ill-posed in the sense of Hadamard. We have applied the generalized Tikhonov method to regularize the instable solution of the problem. In the theoretical result, we show the error estimate between the regularized and exact solutions with a priori parameter choice rules. We present a numerical example to illustrate the theoretical result. According to this example, we show that the proposed regularization method is converged.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/625e137979d44ffdaecaa915cdb0a772 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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