JOURNAL ARTICLE

Regularity theory for fractional reaction–subdiffusion equation and application to inverse problem.

  • Published In: Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 4. P. 3948 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Van Bang, Tran; Van Tuan, Tran 3 of 3

Abstract

In this paper, we analyze the regularity in time of solutions for nonlinear fractional reaction–subdiffusion equations (FrRSEs). By constituting regularity estimates of resolvent operator and employing fixed point theorems, we establish some results on the global existence and regularity in time of solutions to FrRSE in two different cases of nonlinear perturbations, namely, sublinear and superlinear cases. As an application of these results, several results on the existence and regularity of solutions in an inverse source problem governed by FrRSE with the additional measurements given at terminal time will be shown. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Mathematical Methods in the Applied Sciences. 2023/03, Vol. 46, Issue 4, p3948
  • Document Type:Article
  • Subject Area:Physics
  • Publication Date:2023
  • ISSN:0170-4214
  • DOI:10.1002/mma.8731
  • Accession Number:161743329
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