On a problem of heat equation with fractional load

DOI10.1134/S199508022009022XzbMath1452.35245OpenAlexW3098482442MaRDI QIDQ2211406

L. Zh. Kasymova, Minzilya T. Kosmakova, Murat I. Ramazanov

Publication date: 11 November 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508022009022x

zbMATH Keywords

fractional derivativeVolterra equationnonhomogeneous boundary value problemfractionally loaded heat equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fractional partial differential equations (35R11)

Related Items (7)

On the solvability of an initial-boundary value problem for a fractional heat equation with involution ⋮ On a problem for the third order equation with parabolic-hyperbolic operator including a fractional derivative ⋮ Inverse problem for a third-order parabolic-hyperbolic equation involves fractional derivatives ⋮ Boundary value problem for a loaded fractional diffusion equation ⋮ A boundary problem for the loaded partial differential equations of fourth order ⋮ Unique solvability of a boundary value problem for a loaded fractional parabolic-hyperbolic equation with nonlinear terms ⋮ To solving the heat equation with fractional load

Cites Work

• Evaluation of integrals and the Mellin transform
• Loaded equations with periodic boundary conditions
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