On solvabilityof some classes of equations with Hilfer derivative in Banach spaces

DOI10.47475/2500-0101-2022-17101zbMath1494.35171OpenAlexW4225499023MaRDI QIDQ5089738

Dmitriy Mikhaylovich Gordievskikh, Anastasiya Romanovna Volkova, Vladimir Evgenyevich Fedorov

Publication date: 15 July 2022

Published in: Челябинский физико-математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/chfmj267

zbMATH Keywords

initial problemHilfer derivativefractional order equationlinear inhomogeneous equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Linear differential equations in abstract spaces (34G10) Fractional partial differential equations (35R11) Initial-boundary value problems for linear higher-order PDEs (35G16) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Nonlinear system of impulsive integro-differential equations with Hilfer fractional operator and mixed maxima ⋮ Analytic resolving families of operators for linear equations with Hilfer derivative

Cites Work

• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Initial value problems for equations with a composition of fractional derivatives
• Boundary value problems for a first orderpartial differential equation with the Dzhrbashyan - Nersesyan operators
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