Non-Local Initial-Boundary Value Problem for a Degenerate Fourth-Order Equation with a Fractional Gerasimov-Caputo Derivative

DOI10.26117/2079-6641-2023-42-1-123-139OpenAlexW4366140023MaRDI QIDQ6046724

Unnamed Author, A. K. Urinov

Publication date: 6 October 2023

Published in: Вестник КРАУНЦ. Физико-математические науки (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vkam589

zbMATH Keywords

existenceintegral equationGreen's functioninitial boundary value problemspectral problemmethod of separation of variablesdegenerate fourth-order equationuniqueness and stability of solution

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

Cites Work

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• On a nonlocal problem for a fourth-order parabolic equation with the fractional Dzhrbashyan-Nersesyan operator
• Inverse boundary value problem for a fractional differential equations of mixed type with integral redefinition conditions
• Inverse problem for finding the order of the fractional derivative in the wave equation
• The Samarskii-Ionkin type problem for the fourth order parabolic equation with fractional differential operator
• Determination of the order of fractional derivative for subdiffusion equations
• NONLOCAL PROBLEM FOR A MIXED TYPE FOURTH-ORDER DIFFERENTIAL EQUATION WITH HILFER FRACTIONAL OPERATOR
• A problem on the zeros of the Mittag-Leffler function and the spectrum of a fractional-order differential operator

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