On the Cauchy problems of fractional evolution equations with nonlocal initial conditions

DOI10.1007/S00025-011-0142-9zbMath1264.34015OpenAlexW2003787918MaRDI QIDQ1936906

Yan-Hong Yang, Rong-Nian Wang

Publication date: 8 February 2013

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

Full work available at URL: https://doi.org/10.1007/s00025-011-0142-9

zbMATH Keywords

mild solutionsCauchy problem of fractional evolution equations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (13)

Some new results for multi-valued fractional evolution equations ⋮ Approximation technique for fractional evolution equations with nonlocal integral conditions ⋮ Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations ⋮ Existence of mild solutions for nonlocal semilinear fractional evolution equations ⋮ Fractional semilinear equations with causal operators ⋮ Nonlocal fractional functional differential equations with measure of noncompactness in Banach space ⋮ Non-autonomous impulsive Cauchy problems of parabolic type involving nonlocal initial conditions ⋮ Existence of mild solutions for fractional evolution equations with mixed monotone nonlocal conditions ⋮ Multi-valued nonlinear perturbations of time fractional evolution equations in Banach spaces ⋮ Approximate controllability of fractional delay evolution inclusions with noncompact semigroups ⋮ Existence and approximate controllability for systems governed by fractional delay evolution inclusions ⋮ Fractional delay control problems: topological structure of solution sets and its applications ⋮ Topological properties of solution sets for Riemann-Liouville fractional nonlocal delay control systems with noncompact semigroups and applications to approximate controllability

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