On a problem for the third order equation with parabolic-hyperbolic operator including a fractional derivative

DOI10.1134/S199508022205002XzbMath1490.35231OpenAlexW4280645666WikidataQ115525839 ScholiaQ115525839MaRDI QIDQ2140924

A. A. Matchanova, Obidjon Khayrullayevich Abdullaev

Publication date: 23 May 2022

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

Full work available at URL: https://doi.org/10.1134/s199508022205002x

zbMATH Keywords

integral equationsparabolic-hyperbolic typeGerasimov-Caputo derivativesdiscontinuous gluing condition

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Fractional partial differential equations (35R11)

Related Items (3)

Third boundary value problem for an equation with the third order multiple characteristics in three dimensional space ⋮ Inverse problem for a third-order parabolic-hyperbolic equation involves fractional derivatives ⋮ On solution of the boundary value problems posed for an equation with the third-order multiple characteristics in semi-bounded domains in three dimensional space

Cites Work

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• Forced oscillation of nonlinear fractional differential equations with damping term
• On a non-local boundary problem for a parabolic-hyperbolic equation involving a Riemann-Liouville fractional differential operator
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Solution of a boundary value problem for a fractional partial differential equation
• An analog of the Bitsadze-Samarskiĭ problem for a mixed type equation with a fractional derivative
• Solution of boundary value problems for the fractional diffusion equation by the Green function method
• The twisted Daehee numbers and polynomials
• Inverse boundary value problem for a fractional differential equations of mixed type with integral redefinition conditions
• Gellerstedt type problem for the loaded parabolic-hyperbolic type equation with Caputo and Erdelyi-Kober operators of fractional order
• Unique solvability of a boundary value problem for a loaded fractional parabolic-hyperbolic equation with nonlinear terms
• Boundary-value problems for loaded third-order parabolic-hyperbolic equations in infinite three-dimensional domains
• On a problem of heat equation with fractional load
• On the problem for a mixed-type degenerate equation with Caputo and Erdélyi-Kober operators of fractional order
• The fundamental solution of a diffusion-wave equation of fractional order
• Нелокальная задача для нагруженного уравнения смешанного типа с интегральным оператором
• A nonlocal problem with integral gluing condition for a third‐order loaded equation with parabolic‐hyperbolic operator involving fractional derivatives
• NONLOCAL PROBLEM FOR A MIXED TYPE FOURTH-ORDER DIFFERENTIAL EQUATION WITH HILFER FRACTIONAL OPERATOR

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