Identifying the space source term problem for time-space-fractional diffusion equation

Autor:	Erdal Karapinar, Devendra Kumar, Rathinasamy Sakthivel, Nguyen Hoang Luc, N. H. Can
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Inverse source problem Time-space-fractional diffusion equation Ill-posed problem Convergence estimates Regularization method Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-23 (2020)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-020-02998-y
Popis:	Abstract In this paper, we consider an inverse source problem for the time-space-fractional diffusion equation. Here, in the sense of Hadamard, we prove that the problem is severely ill-posed. By applying the quasi-reversibility regularization method, we propose by this method to solve the problem (1.1). After that, we give an error estimate between the sought solution and regularized solution under a prior parameter choice rule and a posterior parameter choice rule, respectively. Finally, we present a numerical example to find that the proposed method works well.
Databáze:	Directory of Open Access Journals
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