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

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. I...

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Autors principals: Nguyen Huu Can, Nguyen Hoang Luc, Dumitru Baleanu, Yong Zhou, Le Dinh Long
Format: Artigo
Idioma:Inglês
Publicat: SpringerOpen 2020-05-01
Col·lecció:Advances in Difference Equations
Matèries:
Atangana–Baleanu derivative
Ill-posed problem
Time fractional diffusion equation
Convergence estimates
Regularization method
Accés en línia:http://link.springer.com/article/10.1186/s13662-020-02657-2
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