About a problem for loaded parabolic-hyperbolic type equation with fractional derivatives

DOI10.1155/2016/9815796zbMath1487.35418OpenAlexW2549548308WikidataQ59124273 ScholiaQ59124273MaRDI QIDQ1656102

Obidjon Khayrullayevich Abdullaev, Kishin Sadarangani

Publication date: 10 August 2018

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

Full work available at URL: https://doi.org/10.1155/2016/9815796

zbMATH Keywords

existenceuniquenessCaputo fractional derivativelocal boundary value problemRiemann-Liouville integralsdiscontinuous matching conditionloaded parabolic-hyperbolic equation

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

• Boundary value problem for a first-order partial differential equation with a fractional discretely distributed differentiation operator
• Fractals and fractional calculus in continuum mechanics
• 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
• Non-local Boundary Value Problem for the Third Order Mixed Type Equation in Double-connected Domain
• The fractional diffusion equation
• Fractional kinetic equations: solutions and applications
• A boundary problem with integral gluing condition for a parabolic-hyperbolic equation involving the Caputo fractional derivative
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