Fractional Cauchy problems for infinite interval case

DOI10.3934/dcdss.2020240OpenAlexW3002279150WikidataQ126313798 ScholiaQ126313798MaRDI QIDQ827496

Angelo Favini, Mohammed Al Horani, Mauro Fabrizio, Hiroki Tanabe

Publication date: 12 January 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020240

zbMATH Keywords

inverse problemabstract Cauchy problemevolution equationsfractional derivative

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10) Inverse problems involving ordinary differential equations (34A55) Fractional ordinary differential equations (34A08)

Related Items (1)

Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces

Cites Work

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• Degenerate integrodifferential equations of parabolic type with Robin boundary conditions: \(L^{p}\)-theory
• Fractional powers of dissipative operators
• Singular integro-differential equations of parabolic type.
• Direct and inverse problems for degenerate differential equations
• Identification problem for degenerate evolution equations of fractional order
• Multivalued linear operators and degenerate evolution equations
• Linear Sobolev type equations and degenerate semigroups of operators
• On a class of interpolation spaces
• On maximal regularity for the Cauchy-Dirichlet mixed parabolic problem with fractional time derivative

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