On the properties of a Cauchy-type problem for an abstract differential equation with fractional derivatives

DOI10.1134/S000143460711003XzbMath1160.34053WikidataQ115254066 ScholiaQ115254066MaRDI QIDQ941891

A. V. Glushak

Publication date: 2 September 2008

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

zbMATH Keywords

Cauchy problemRiemann-Liouville fractional derivativefractional differential equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Explicit solutions, first integrals of ordinary differential equations (34A05) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (6)

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 ⋮ Controllability for a class of fractional neutral integro-differential equations with unbounded delay ⋮ A Cauchy-type problem with a sequential fractional derivative in the space of continuous functions ⋮ 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

• Perturbation of strongly continuous cosine family generators
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