Degenerate fractional differential equations in locally convex spaces with a $\sigma$-regular pair of operators

DOI10.13108/2016-8-4-98zbMath1463.34248OpenAlexW2588959892MaRDI QIDQ5136203

Marko Kostić, Vladimir Evgenyevich Fedorov

Publication date: 25 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa356

zbMATH Keywords

phase spacelocally convex spacefractional differential equationsolution operatordegenerate evolution equation\( \sigma \)-regular pair of operators

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) Groups and semigroups of linear operators, their generalizations and applications (47D99) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

Related Items (7)

Degenerate linear evolution equations with the Riemann-Liouville fractional derivative ⋮ $(C,B)$-resolvents of closed linear operators ⋮ Distributed Order Equations in Banach Spaces with Sectorial Operators ⋮ Strong Solutions of Semilinear Equations with Lower Fractional Derivatives ⋮ Entire and analytical solutions of certain classes of abstract degenerate fractional differential equations and their systems ⋮ A Cauchy type problem for a degenerate equation with the Riemann-Liouville derivative in the sectorial case ⋮ Semilinear fractional-order evolution equations of Sobolev type in the sectorial case

Cites Work

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• Resolving operators of degenerate evolution equations with fractional derivative with respect to time
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