scientific article; zbMATH DE number 7023513

zbMath1406.35476MaRDI QIDQ4623177

A. V. Pskhu

Publication date: 14 February 2019

Full work available at URL: https://ejde.math.txstate.edu/Volumes/2019/21/abstr.html#latest

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zbMATH Keywords

Cauchy problemfractional derivativehigher order PDE

Mathematics Subject Classification ID

Initial value problems for linear higher-order PDEs (35G10) Fractional partial differential equations (35R11)

Related Items (12)

Initial-boundary problem for degenerate high order equation with fractional derivative ⋮ Construction of partial solutions using special functions for equations with fractional derivative ⋮ Unnamed Item ⋮ 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 ⋮ Transmutation operators for eigenfunctions of certain differentiation operators and their fractional powers ⋮ Boundary value problems for a linear ordinary differential equation of fractional order with delay ⋮ ABOUT A PROBLEM FOR THE DEGENERATING MIXED TYPE EQUATION FRACTIONAL DERIVATIVE ⋮ Boundary value problem for a multidimensional system of equations with Riemann-Liouville fractional derivatives ⋮ 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 ⋮ Solving Time-Space-Fractional Cauchy Problem with Constant Coefficients by Finite-Difference Method

Cites Work

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• The fundamental solutions for the fractional diffusion-wave equation
• On partial solutions of one equation with multiple characteristics and some properties of the fundamental solution
• Solution of a boundary value problem for a fractional partial differential equation
• Solution of the first boundary value problem for a fractional-order diffusion equation
• Solution of boundary value problems for the fractional diffusion equation by the Green function method
• Integrodifferential equation which interpolates the heat equation and the wave equation
• Composite type equations and inverse problems
• The fundamental solution of a diffusion-wave equation of fractional order
• Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation

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