Almost automorphic solutions to abstract fractional differential equations

DOI10.1155/2010/508374zbMath1197.34105OpenAlexW2022198284WikidataQ59250080 ScholiaQ59250080MaRDI QIDQ963109

Jin Liang, Ti-Jun Xiao, Hui-Sheng Ding

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/231745

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) 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 (10)

Pseudo almost automorphy of semilinear fractional differential equations in Banach spaces ⋮ Stepanov type \(\mu\)-pseudo almost automorphic mild solutions of semilinear fractional integrodifferential equations ⋮ \(\mu\)-pseudo almost automorph mild solutions to the fractional integro-differential equation with uniform continuity ⋮ Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations ⋮ Generalized almost automorphic and generalized asymptotically almost automorphic solutions of abstract Volterra integro-differential inclusions ⋮ PSEUDO ALMOST AUTOMORPHY OF TWO-TERM FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS ⋮ Composition theorems of Stepanov almost periodic functions and Stepanov-like pseudo-almost periodic functions ⋮ Almost automorphic solutions to abstract Volterra equations on the line ⋮ Pseudo almost automorphic solution of semilinear fractional differential equations with the Caputo derivatives ⋮ Stepanov-like weighted pseudo almost automorphic solutions to fractional order abstract integro-differential equations

Cites Work

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• Existence of the mild solution for some fractional differential equations with nonlocal conditions
• Almost automorphic solutions to a class of semilinear fractional differential equations
• Basic theory of fractional differential equations
• Theory of fractional functional differential equations
• Almost automorphic solutions to nonautonomous semilinear evolution equations in Banach spaces
• A Cauchy problem for abstract fractional differential equations with infinite delay
• Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations
• Almost automorphic mild solutions to fractional differential equations
• Stepanov-like almost automorphic functions and monotone evolution equations

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