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Licensed Unlicensed Requires Authentication Published by De Gruyter January 31, 2023

Degenerate time-fractional diffusion equation with initial and initial-boundary conditions

  • Asselya G. Smadiyeva EMAIL logo

Abstract

In this paper, we study initial and initial-boundary problems for the time-fractional degenerate diffusion equations in bounded and unbounded domains. We obtain the existence and uniqueness of solutions using Fourier methods.

MSC 2010: 35R11; 35A02

Funding statement: The research was supported by the Ministry of Education and Science of the Republic of Kazakhstan Grant AP09259578.

Acknowledgements

The author would like to thanks the editor and referees for their valuable comments, which led to a great improvement of the article.

References

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Received: 2022-04-27
Accepted: 2022-07-21
Published Online: 2023-01-31
Published in Print: 2023-06-01

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