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

DOI10.1515/GMJ-2022-2217zbMath1518.35647OpenAlexW4318480687MaRDI QIDQ6111390

Asselya G. Smadiyeva

Publication date: 6 July 2023

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2022-2217

zbMATH Keywords

Cauchy problemCauchy-Dirichlet problemCauchy-Neumann problemtime-fractional diffusion equationKilbas-Saigo function

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Inverse problem of Bitsadze-Samarskii type for a two-dimensional parabolic equation of fractional order

Cites Work

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• On the existence and uniqueness and formula for the solution of R-L fractional cauchy problem in ℝ n
• Maximum principle for the fractional diffusion equations with the Riemann-Liouville fractional derivative and its applications
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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