Nonlocal Cauchy problem for nonautonomous fractional evolution equations

DOI10.1155/2011/483816zbMath1235.34028OpenAlexW2068798746WikidataQ59267113 ScholiaQ59267113MaRDI QIDQ537184

Fei Xiao

Publication date: 19 May 2011

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

Full work available at URL: https://doi.org/10.1155/2011/483816

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (4)

Fractional Cauchy problems with almost sectorial operators ⋮ Fractional integro-differential calculus and its control-theoretical applications. I: Mathematical fundamentals and the problem of interpretation ⋮ Analysis of fractional functional differential equations of neutral type with nonlocal conditions ⋮ Existence of solutions to Sobolev type nonlocal nonlinear functional integrodifferential equations involving Caputo derivative

Cites Work

• Unnamed Item
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• Solvability of nonautonomous fractional integrodifferential equations with infinite delay
• Mild solutions for fractional differential equations with nonlocal conditions
• Existence of classical solutions to nonautonomous nonlocal parabolic problems
• Existence for a class of partial differential equations with nonlocal conditions
• Nonlocal Cauchy problem for some fractional abstract integro-differential equations in Banach spaces
• A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
• Impulsive problems for semilinear differential equations with nonlocal conditions
• Semigroups of linear operators and applications to partial differential equations
• The Cauchy problem for higher-order abstract differential equations
• Multivalued perturbations of \(m\)-accretive differential inclusions
• Some probability densities and fundamental solutions of fractional evolution equations
• Nonlocal Cauchy problems for semilinear evolution equations
• Semilinear integrodifferential equations with nonlocal initial conditions
• The fundamental solutions for fractional evolution equations of parabolic type
• Time dependent Desch-Schappacher type perturbations of Volterra integral equations
• Approximations of Laplace transforms and integrated semigroups
• Second order differential operators with Feller-Wentzell type boundary conditions
• Solutions to nonautonomous abstract functional equations with infinite delay
• Existence and uniqueness of mild solutions to impulsive fractional differential equations
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Nonautonomous Kolmogorov parabolic equations with unbounded coefficients
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Unstable Solutions of Nonautonomous Linear Differential Equations
• Pseudo-almost automorphic solutions to some classes of nonautonomous partial evolution equations
• Approximation theorems for the propagators of higher order abstract Cauchy problems

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