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


Smadiyeva A.G.
1 June 2023De Gruyter Open Ltd

Georgian Mathematical Journal
2023#30Issue 3435 - 443 pp.

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.

Cauchy problem , Cauchy-Dirichlet problem , Cauchy-Neumann problem , the Kilbas-Saigo function , Time-fractional diffusion equation

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Institute of Mathematics and Mathematical Modeling
Al-Farabi Kazakh National University

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