Uniqueness of the solution of the Dirichlet problem for a multidimensional differential equation of fractional order

DOI10.1134/S0001434621010107zbMath1468.35233OpenAlexW3177757936WikidataQ115253690 ScholiaQ115253690MaRDI QIDQ2037632

O. Kh. Masaeva

Publication date: 8 July 2021

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

Full work available at URL: https://doi.org/10.1134/s0001434621010107

zbMATH Keywords

Dirichlet problemRiemann-Liouville fractional derivativeconditionally elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fractional partial differential equations (35R11)

Cites Work

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• Dirichlet problem for the generalized Laplace equation with the Caputo derivative
• On a boundary value problem for a fractional partial differential equation in a domain with curvilinear boundary
• On the continuation of solutions of a fractional partial differential equation
• On solvability of some boundary value problems for a fractional analogue of the Helmholtz equation
• Maximum principle for the generalized time-fractional diffusion equation
• Eigenfunctions and fundamental solutions of the fractional Laplace and Dirac operators using Caputo derivatives

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