Asymptotically almost automorphic solutions of abstract fractional integro-differential neutral equations

DOI10.1016/j.aml.2010.04.016zbMath1198.45014OpenAlexW2058446321MaRDI QIDQ988698

Claudio Cuevas, José Paulo Carvalho dos Santos

Publication date: 18 August 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.04.016

zbMATH Keywords

asymptoticsabstract fractional partial integro-differential neutral equationalmost automorphic mild solution

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Asymptotics of solutions to integral equations (45M05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items

Asymptotic periodicity and almost automorphy for a class of Volterra integro-differential equations ⋮ Asymptotically periodic solutions of fractional differential equations ⋮ Mean-square asymptotically almost automorphic solutions to fractional stochastic relaxation equations ⋮ S-asymptotically \(\omega\)-periodic mild solutions of neutral fractional differential equations with finite delay in Banach space ⋮ S-asymptotically \(T\)-periodic solutions for delay fractional differential equations with almost sectorial operator ⋮ S-asymptotically \(\omega\)-periodic solution for fractional differential equations of order \(q\in(0, 1)\) with finite delay ⋮ Asymptotically almost automorphic solutions of fractional order neutral integro-differential equations ⋮ Controllability for a class of fractional neutral integro-differential equations with unbounded delay ⋮ Unnamed Item ⋮ Existence of mild solutions for nonlocal Cauchy problem for fractional neutral integro-differential equation with unbounded delay ⋮ Pseudo almost periodic solutions to integro-differential equations of heat conduction in materials with memory ⋮ Asymptotic behavior of solutions of some semilinear functional differential and integro-differential equations with infinite delay in Banach spaces ⋮ Weighted \(S\)-asymptotically \(\omega\)-periodic solutions of a class of fractional differential equations ⋮ The S-asymptotically \(\omega\)-periodic solutions for stochastic fractional differential equations with piecewise constant arguments ⋮ Bounded solutions of functional integro-differential equations arising from heat conduction in materials with memory ⋮ EXISTENCE RESULTS FOR A NEW CLASS OF FRACTIONAL IMPULSIVE PARTIAL NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY ⋮ Approximation methods for solving fractional equations ⋮ Existence results for fractional neutral integro-differential equations with state-dependent delay ⋮ μ -Pseudo almost automorphic solutions of abstract fractional integro-differential neutral equations with an infinite delay ⋮ Existence of square-mean almost automorphic solutions to stochastic functional integrodifferential equations in Hilbert spaces ⋮ A \(k\)-dimensional system of fractional neutral functional differential equations with bounded delay ⋮ Discrete weighted pseudo almost automorphic solutions of nonautonomous difference equations ⋮ On almost automorphic type solutions of abstract integral equations, a Bohr-Neugebauer type property and some applications ⋮ S-asymptotically \(\omega\)-positive periodic solutions for a class of neutral fractional differential equations ⋮ Pseudo-almost periodic solutions of a class of semilinear fractional differential equations ⋮ About the behavior of solutions for Volterra difference equations with infinite delay ⋮ Asymptotic behavior of solutions to abstract stochastic fractional partial integrodifferential equations ⋮ Pseudo asymptotically periodic solutions for fractional integro-differential neutral equations ⋮ Weak stability for integro-differential inclusions of diffusion-wave type involving infinite delays ⋮ Stability for a class of fractional partial integro-differential equations ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces
• Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations
• Almost automorphic solutions to a class of semilinear fractional differential equations
• Almost automorphic mild solutions to some partial neutral functional-differential equations and applications
• On type of periodicity and ergodicity to a class of fractional order differential equations
• Almost automorphic solutions to some classes of partial evolution equations
• Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations
• Pseudo-almost periodic solutions for abstract partial functional differential equations
• \(S\)-asymptotically \(\omega \)-periodic solutions of semilinear fractional integro-differential equations
• Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations
• Functional differential equations with infinite delay
• Existence results for partial neutral functional differential equations with unbounded delay
• Existence of periodic solutions of partial neutral functional differential equations with unbounded delay
• Introduction to functional differential equations
• Fractional differential equations driven by Lévy noise
• Theory and applications of partial functional differential equations
• Cauchy problem for evolution equations of a fractional order
• Asymptotically almost periodic and almost periodic solutions for partial neutral integrodifferential equations
• Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions
• Existence results for partial neutral integro-differential equation with unbounded delay
• A Numerical Method for an Integro-Differential Equation with Memory in Banach Spaces: Qualitative Properties
• Topics in Almost Automorphy
• Almost automorphic solutions of evolution equations
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• A NEW APPROACH TO ALMOST PERIODICITY
• Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non dense domain