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A boundary value problem for a partial differential equation with fractional derivative

  • Menglibay Ruziev EMAIL logo
Veröffentlicht/Copyright: 9. Mai 2021
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Abstract

In this paper, we investigate a nonlocal boundary value problem for an equation of special type. For y > 0 it is a fractional diffusion equation, which contains the Riemann-Liouville fractional derivative. For y < 0 it is a generalized equation of moisture transfer. A unique solvability of the considered problem is proved.

MSC 2010: 35M10; 35M12; 35Q05; 35R11

Acknowledgements

This work was funded by the German Academic Exchange Service (DAAD) under Grant No. 91718161. The author is grateful to Professor Michael Reissig for a fruitful discussion of the results of the work. He would like to thank anonymous referees for their useful suggestions.

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Received: 2019-06-17
Revised: 2021-02-04
Published Online: 2021-05-09
Published in Print: 2021-04-27

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Heruntergeladen am 16.11.2025 von https://www.degruyterbrill.com/document/doi/10.1515/fca-2021-0022/pdf
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