Determination of an unknown source term temperature distribution for the sub-diffusion equation at the initial and final data

Mokhtar Kirane, Bessem Samet, Berikbol T. Torebek

Research output: Contribution to journalArticlepeer-review

41 Scopus citations

Abstract

We consider a class of problems modeling the process of determining the temperature and density of nonlocal sub-diffusion sources given by initial and finite temperature. Their mathematical statements involve inverse problems for the fractional-time heat equation in which, solving the equation, we have to find the an unknown right-hand side depending only on the space variable. The results on existence and uniqueness of solutions of these problems are presented.

Original languageBritish English
Article number257
JournalElectronic Journal of Differential Equations
Volume2017
StatePublished - 11 Oct 2017

Keywords

  • Fractional-time diffusion equation
  • Inverse problem
  • Involution
  • Nonlocal sub-diffusion equation

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