Об одной задаче для уравнения параболо-гиперболического типа дробного порядка с нелинейной нагруженной частью

DOI10.14498/VSGTU1777zbMath1488.35368OpenAlexW3152651435MaRDI QIDQ4986132

Obidjon Khayrullayevich Abdullaev

Publication date: 27 April 2021

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu1777

zbMATH Keywords

nonlinear integral equationCaputo fractional derivativeexistence and uniqueness of solutionparabolic-hyperbolic typeloaded equationintegral gluing condition

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Extension of the Tricomi problem for a loaded parabolic–hyperbolic equation with a characteristic line of change of type

Cites Work

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• On a non-local boundary problem for a parabolic-hyperbolic equation involving a Riemann-Liouville fractional differential operator
• A non-local problem with discontinuous matching condition for loaded mixed type equation involving the Caputo fractional derivative
• On the problem for a mixed-type degenerate equation with Caputo and Erdélyi-Kober operators of fractional order
• Initial-boundary problem for parabolic-hyperbolic equation with loaded summands
• The fundamental solution of a diffusion-wave equation of fractional order
• Нелокальная задача для нагруженного уравнения смешанного типа с интегральным оператором
• Analog of the Gellerstedt problem for the mixed type equation with integral-differential operators of fractional order

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