On non-autonomous abstract nonlinear fractional differential equations

DOI10.1080/00036811.2014.905679zbMath1319.34015OpenAlexW2068669125WikidataQ58290360 ScholiaQ58290360MaRDI QIDQ5249949

Michelle Pierri, Donal O'Regan

Publication date: 13 May 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.905679

zbMATH Keywords

abstract Cauchy problemresolvent operatorfractional differential equationCaputo derivate

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Fractional ordinary differential equations (34A08)

Related Items (10)

Existence of solutions of non-autonomous fractional differential equations with integral impulse condition ⋮ Some theorems on Cauchy problem for nonlinear fractional differential equations with positive constant coefficient ⋮ On implicit abstract neutral nonlinear differential equations ⋮ Existence of solutions of the abstract Cauchy problem of fractional order ⋮ Cauchy problem for nonlinear fractional differential equations with positive constant coefficient ⋮ On nonlinear fractional integro-differential equations with positive constant coefficient ⋮ Center stable manifold for planar fractional damped equations ⋮ Existence of solutions for the semilinear abstract Cauchy problem of fractional order ⋮ Unnamed Item ⋮ On nonlinear mixed fractional integro-differential equations with positive constant coefficient

Cites Work

• Unnamed Item
• Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives
• Abstract fractional Cauchy problems with almost sectorial operators
• Periodic solutions of fractional differential equations with delay
• On recent developments in the theory of abstract differential equations with fractional derivatives
• Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators
• A characterization of periodic solutions for time-fractional differential equations in UMD spaces and applications

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