On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation

DOI10.1186/1687-1847-2012-40zbMath1291.34017OpenAlexW2076025162WikidataQ59270878 ScholiaQ59270878MaRDI QIDQ2448017

Jin Liang, Fang Li, Tingwen Huang, Sheng-Hua Yan

Publication date: 29 April 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-40

zbMATH Keywords

neutral typemeasure of noncompactnessmild solutionsfractional evolution equationsalmost sectorial operatorsglobal attractive

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) Applications of operator theory to differential and integral equations (47N20) Asymptotic properties of solutions to ordinary differential equations (34D05) Fractional ordinary differential equations (34A08)

Related Items

Positive solution for the nonlinear Hadamard type fractional differential equation with \(p\)-Laplacian, Erratum to: ``On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation

Cites Work

• Asymptotically linear solutions for some linear fractional differential equations
• Optimal control of fractional diffusion equation
• Abstract fractional Cauchy problems with almost sectorial operators
• Almost automorphic solutions to a class of semilinear fractional differential equations
• Solutions to fractional differential equations with nonlocal initial condition in Banach spaces
• Impulsive differential inclusions with fractional order
• On some classes of almost automorphic functions and applications to fractional differential equations
• On some fractional evolution equations
• Non-autonomous semilinear evolution equations with almost sectorial operators
• \(S\)-asymptotically \(\omega \)-periodic solutions of semilinear fractional integro-differential equations
• Semigroups of linear operators and applications to partial differential equations
• The Cauchy problem for higher-order abstract differential equations
• A functional calculus for almost sectorial operators and applications to abstract evolution equations
• Semilinear integrodifferential equations with nonlocal initial conditions
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