An Inverse Source Problem For a Two Terms Time-fractional Diffusion Equation

Fatima Dib, Mokhtar Kirane

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this paper, we consider an inverse problem for a linear heat equation involving two time-fractional derivatives, subject to a nonlocal boundary condition. We determine a source term independent of the space variable, and the temperature distribution with an over-determining function of integral type.

Original languageBritish English
JournalBoletim da Sociedade Paranaense de Matematica
Volume40
DOIs
StatePublished - 2022

Keywords

  • Bi-orthogonal system of functions
  • Fourier series
  • Fractional derivative
  • Heat equation
  • Integral equations
  • Inverse problem

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