Cauchy problem for high even order parabolic equation with time fractional derivative

DOI10.17377/SEMI.2018.15.055zbMath1394.35216MaRDI QIDQ1669764

Liana Leonidovna Karasheva

Publication date: 4 September 2018

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemfundamental solutionRiemann-Liouville fractional derivativehigher-order equation

Mathematics Subject Classification ID

Higher-order parabolic equations (35K25)

Related Items (6)

On the solvability of nonlocal initial-boundary value problems for a partial differential equation of high even order ⋮ Construction of partial solutions using special functions for equations with fractional derivative ⋮ Obtaining a representation of the solution of the Cauchy problem for one equation with a fractional derivative and applying it to the equation of forced beam vibrations ⋮ Unnamed Item ⋮ Solution of a problem with initial conditions of the Cauchy type for a higher-order equation with a Hilfer fractional derivative ⋮ Non-uniqueness of the solution to the problem Cauchy for one equation of high order with fractional Caputo derivative

Cites Work

• Problemi al contorno per equazioni paraboliche di ordine 2n
• The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative
• The fundamental solution of a diffusion-wave equation of fractional order
• THE GENERALIZED BESSEL FUNCTION OF ORDER GREATER THAN ONE
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