Solutions of the main boundary value problems for a loaded second-order parabolic equation with constant coefficients

DOI10.1134/S0012266116060094zbMath1358.35049OpenAlexW2469599557WikidataQ115251265 ScholiaQ115251265MaRDI QIDQ311217

Murat O. Mamchuev

Publication date: 29 September 2016

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266116060094

zbMATH Keywords

existenceuniquenessboundary value problemswell-posednessGreen functionRiemann-Liouville fractional derivativesecond-order parabolic equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order parabolic equations (35K10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

D'Alembert formula for diffusion-wave equation ⋮ Boundary Value Problem for the Time-Fractional Telegraph Equation with Caputo Derivatives ⋮ On the well-posedness of boundary value problems for a fractional diffusion-wave equation and one approach to solving them

Cites Work

• Fundamental solution of a loaded second-order parabolic equation with constant coefficients
• Fundamental solution of a system of fractional partial differential equations
• Modified Cauchy problem for a loaded second-order parabolic equation with constant coefficients
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