On the solvability of a mixed problem for a fractional partial differential equation with delayed time argument and Laplace operators with nonlocal boundary conditions in Sobolev classes
DOI10.15507/2079-6900.22.202001.13-23arXiv2310.14027WikidataQ114052138 ScholiaQ114052138MaRDI QIDQ6143679
Publication date: 24 January 2024
Published in: Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2310.14027
existenceRiesz basisuniquenesseigenvaluescompletenesseigenfunctionsnonlocal boundary conditionsSobolev classspectral methodmixed probleminitial boundary value problemfractional derivativeseriesfractional time derivativepartial differential equation with delayed argument
Initial-boundary value problems for second-order parabolic equations (35K20) Partial functional-differential equations (35R10) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
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- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On solvability of the mixed problem for a partial equation of a fractional order with Laplace operators and nonlocal boundary conditions in the Sobolev classes
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