Mild solutions for fractional differential equations with nonlocal conditions

DOI10.1155/2010/287861zbMath1192.34010OpenAlexW2008117739WikidataQ59251305 ScholiaQ59251305MaRDI QIDQ963100

Fang Li

Publication date: 8 April 2010

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223094

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Fractional ordinary differential equations (34A08)

Related Items (12)

Solutions to fractional functional differential equations with nonlocal conditions ⋮ Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems ⋮ Generalized antiperiodic boundary value problems for the fractional differential equation with \(p\)-Laplacian operator ⋮ Solutions to the Cauchy problem for differential equations in Banach spaces with fractional order ⋮ Existence results for \(m\)-point boundary value problems of nonlinear fractional differential equations with \(p\)-Laplacian operator ⋮ Existence and uniqueness of positive solutions for a fractional switched system ⋮ Nonlocal Cauchy problem for nonautonomous fractional evolution equations ⋮ Positive solutions of \(m\)-point boundary value problems for fractional differential equations ⋮ On the fractional functional differential equation with abstract Volterra operator ⋮ Existence results of fractional differential equations with irregular boundary conditions and \(p\)-Laplacian operator ⋮ Existence of positive solution for fractional differential systems with multipoint boundary value conditions ⋮ Unnamed Item

Cites Work

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• Basic theory of fractional differential equations
• Theory of fractional functional differential equations
• Existence of classical solutions to nonautonomous nonlocal parabolic problems
• A Cauchy problem for some fractional abstract differential equation with non local conditions
• Existence for a class of partial differential equations with nonlocal conditions
• A Cauchy problem for abstract fractional differential equations with infinite delay
• A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
• Semigroups of linear operators and applications to partial differential equations
• Nonlocal Cauchy problems for semilinear evolution equations
• Semilinear integrodifferential equations with nonlocal initial conditions
• Nonlocal Cauchy problems governed by compact operator families
• Nonlocal impulsive problems for nonlinear differential equations in Banach spaces
• Nonlocal Cauchy problems for nonautonomous evolution equations

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