Fundamental solution of a loaded second-order parabolic equation with constant coefficients

DOI10.1134/S0012266115050055zbMath1332.35381WikidataQ115251493 ScholiaQ115251493MaRDI QIDQ498253

Murat O. Mamchuev

Publication date: 28 September 2015

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

zbMATH Keywords

fractional derivativesfundamental solutionloaded second-order parabolic equation

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Fractional partial differential equations (35R11)

Related Items (5)

Solutions of the main boundary value problems for a loaded second-order parabolic equation with constant coefficients ⋮ Investigation of the Cauchy problem for one fractional order equation with the Riemann-Liouville operator;Исследование задачи Коши для одного уравнения дробного порядка с оператором Римана-Лиувилля ⋮ Modified Cauchy problem for a loaded second-order parabolic equation with constant coefficients ⋮ Boundary Value Problem for the Time-Fractional Telegraph Equation with Caputo Derivatives ⋮ Solutions of the main boundary value problems for the time-fractional telegraph equation by the Green function method

Cites Work

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• Lamb's integral formulas of two-phase saturated medium for soil dynamic with drainage
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• Time-fractional telegraph equations and telegraph processes with Brownian time
• The space-fractional telegraph equation and the related fractional telegraph process
• Fractional telegraph equations.
• Analytical solution for the time-fractional telegraph equation by the method of separating variables
• The fundamental solution of a diffusion-wave equation of fractional order

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