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Nonlinear inverse problem of control diffusivity parameter determination for a space-time fractional diffusion equation

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  • Lopushansky, Andriy
  • Lopushansky, Oleh
  • Sharyn, Sergii

Abstract

In paper the nonlinear inverse problem of finding a control parameter in a space-time fractional diffusion equation with varying degrees of heterogeneity is investigated. An iterative method for finding an unknown control parameter is proposed. Under the maximal regularity condition respecting input data on the Bessel potential scale, the existence and uniqueness of a solution of such inverse problem are shown. Results are illustrated by examples. An example of numerical simulation of an iterative algorithm is given.

Suggested Citation

  • Lopushansky, Andriy & Lopushansky, Oleh & Sharyn, Sergii, 2021. "Nonlinear inverse problem of control diffusivity parameter determination for a space-time fractional diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    • Handle: RePEc:eee:apmaco:v:390:y:2021:i:c:s0096300320305440
    DOI: 10.1016/j.amc.2020.125589
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    References listed on IDEAS

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    1. S. Li, Y. & Wei, T., 2018. "An inverse time-dependent source problem for a time–space fractional diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 257-271.
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    Cited by:

    1. Alpar, Sultan & Rysbaiuly, Bolatbek, 2023. "Determination of thermophysical characteristics in a nonlinear inverse heat transfer problem," Applied Mathematics and Computation, Elsevier, vol. 440(C).

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