Asymptotic behavior of mild solutions to semilinear fractional differential equations

DOI10.1007/S10957-012-0202-7zbMath1281.34014OpenAlexW2056100591MaRDI QIDQ1949556

Yong-Kui Chang, J. Q. Zhao, Gaston Mandata N'Guérékata

Publication date: 8 May 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0202-7

zbMATH Keywords

fractional differential equationLeray-Schauder alternative theoremasymptotically almost automorphic functions

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Fractional ordinary differential equations (34A08)

Related Items (9)

Asymptotically periodic solutions of fractional differential equations ⋮ Asymptotically almost automorphic solutions of fractional order neutral integro-differential equations ⋮ Stepanov type \(\mu\)-pseudo almost automorphic mild solutions of semilinear fractional integrodifferential equations ⋮ Asymptotically almost periodic solutions to nonlocal differential equations ⋮ PSEUDO ALMOST AUTOMORPHY OF TWO-TERM FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS ⋮ Asymptotic behavior of mild solutions to fractional Cauchy problems in Banach spaces ⋮ Fractional differential equations of Sobolev type with sectorial operators ⋮ Asymptotic almost periodicity of stochastic evolution equations ⋮ Unnamed Item

Cites Work

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• Asymptotic behavior of bounded mild solutions of some functional differential and fractional differential equations.
• Bounded mild solutions for semilinear integro differential equations in Banach spaces
• Pseudo almost automorphic solutions of fractional order neutral differential equation
• Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations
• Almost automorphic solutions to a class of semilinear fractional differential equations
• On type of periodicity and ergodicity to a class of fractional order differential equations
• On some classes of almost automorphic functions and applications to fractional differential equations
• Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations
• Pseudo-almost periodic solutions of a class of semilinear fractional differential equations
• Almost automorphic mild solutions to fractional differential equations
• Composition of pseudo almost automorphic and asymptotically almost automorphic functions
• Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions
• Topics in Almost Automorphy
• Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations

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