On some classes of almost automorphic functions and applications to fractional differential equations

DOI10.1016/j.camwa.2009.05.008zbMath1189.34142OpenAlexW2078620535WikidataQ69846109 ScholiaQ69846109MaRDI QIDQ980238

J. Martínez

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.05.008

zbMATH Keywords

fractional differential equation\(C(n)\)-almost automorphic functionsasymptotically almost automorphic functions

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Functional-differential equations in abstract spaces (34K30) Functional-differential equations with fractional derivatives (34K37)

Related Items (20)

Asymptotic periodicity and almost automorphy for a class of Volterra integro-differential equations ⋮ Existence of solutions for the nonlinear multiple base points impulsive fractional differential equations with the three-point boundary conditions ⋮ Pseudo almost automorphy of semilinear fractional differential equations in Banach spaces ⋮ Controllability of fractional integro-differential evolution equations with nonlocal conditions ⋮ Bounded mild solutions for semilinear integro differential equations in Banach spaces ⋮ Bounded mild solutions to fractional integro-differential equations in Banach spaces ⋮ Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces ⋮ Piecewise Continuous Stepanov-Like Almost Automorphic Functions with Applications to Impulsive Systems ⋮ A study on impulsive fractional hybrid evolution equations using sequence method ⋮ Asymptotic behavior of mild solutions to semilinear fractional differential equations ⋮ Weighted pseudo almost automorphic classical solutions and optimal mild solutions for fractional differential equations and application in fractional reaction-diffusion equations ⋮ Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems ⋮ On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation ⋮ Boundary value problems of the nonlinear multiple base points impulsive fractional differential equations with constant coefficients ⋮ Controllability of impulsive fractional integro-differential evolution equations ⋮ Solvability of boundary value problems for impulsive fractional differential equations in Banach spaces ⋮ Bounded solutions to a class of semilinear integro-differential equations in Banach spaces ⋮ Bounded mild solutions of perturbed Volterra equations with infinite delay ⋮ Weighted Stepanov-like pseudo-almost automorphic mild solutions for semilinear fractional differential equations ⋮ Unnamed Item

Cites Work

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• Remarks on fractional derivatives
• Integral equations and initial value problems for nonlinear differential equations of fractional order
• On some classes of almost periodic functions in abstract spaces
• Almost automorphic mild solutions to fractional differential equations
• Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions
• Topics in Almost Automorphy
• Cⁿ-almost automorphic solutions for partial neutral functional differential equations

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