Degenerate linear evolution equations with the Riemann-Liouville fractional derivative

DOI10.1134/S0037446618010159zbMath1392.34007MaRDI QIDQ1642310

Vladimir Evgenyevich Fedorov, Marina Vasilyevna Plekhanova, Roman R. Nazhimov

Publication date: 20 June 2018

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

initial-boundary value problemRiemann-Liouville derivativeCauchy type problemdegenerate evolution equationMittag-Leffler type operator functionScott-Blair medium

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10) Fractional ordinary differential equations (34A08)

Related Items (14)

The defect of a Cauchy type problem for linear equations with several Riemann-Liouville derivatives ⋮ Nonlocal solvability of quasilinear degenerate equations with Gerasimov-Caputo derivatives ⋮ Distributed control for semilinear equations with Gerasimov-Caputo derivatives ⋮ Multi-term equations with Riemann-Liouville derivatives and Hölder type function spaces ⋮ Initial value problems for some classes of linear evolution equations with several fractional derivatives ⋮ A Class of Semilinear Degenerate Equations with Fractional Lower Order Derivatives ⋮ Controllability of singular distributed parameter systems in the sense of mild solution ⋮ Strong Solutions of Semilinear Equations with Lower Fractional Derivatives ⋮ An initial problem for a class of weakly degenerate semilinear equations with lower order fractional derivatives ⋮ 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 ⋮ Inverse problems for a class of degenerate evolution equations with Riemann - Liouville derivative ⋮ The Cauchy problem for a class of multi-term equations with Gerasimov-Caputo derivatives ⋮ Local unique solvability of a quasilinear equation with the Dzhrbashyan-Nersesyan derivatives

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