Correctness of Cauchy-type problems for abstract differential equations with fractional derivatives

DOI10.3103/S1066369X09090023zbMath1177.47090MaRDI QIDQ1037085

A. V. Glushak

Publication date: 13 November 2009

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemwell-posednessRiemann-Liouville fractional derivativefractional differential equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (5)

A Cauchy-type problem involving a weighted sequential derivative in the space of integrable functions ⋮ Degenerate linear evolution equations with the Riemann-Liouville fractional derivative ⋮ DEGENERATE DISTRIBUTED CONTROL SYSTEMS WITH FRACTIONAL TIME DERIVATIVE ⋮ A Cauchy type problem for a degenerate equation with the Riemann-Liouville derivative in the sectorial case ⋮ Bounds on the solution of a Cauchy-type problem involving a weighted sequential fractional derivative

Cites Work

• Vector-valued Laplace transforms and Cauchy problems
• Cauchy-type problem for an abstract differential equation with fractional derivatives
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