Weighted Stepanov-like pseudo-almost automorphic mild solutions for semilinear fractional differential equations

DOI10.1186/s13662-015-0410-1zbMath1351.34005OpenAlexW2156355382WikidataQ59435772 ScholiaQ59435772MaRDI QIDQ738595

Bing He, Bicheng Yang, Junfei Cao

Publication date: 5 September 2016

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

Full work available at URL: https://doi.org/10.1186/s13662-015-0410-1

zbMATH Keywords

fractional integralsolution operatorfractional relaxation-oscillation equationsemilinear fractional differential equationweighted Stepanov-like pseudo-almost automorphic function

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) 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 (4)

Asymptotically periodic solutions of a partial differential equation with memory ⋮ Unnamed Item ⋮ \(\mu\)-pseudo almost automorph mild solutions to the fractional integro-differential equation with uniform continuity ⋮ Weighted Stepanov-like pseudo almost automorphic solutions for evolution equations and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weighted Stepanov-like pseudo almost automorphy and applications
• Existence of anti-periodic mild solutions for a class of semilinear fractional differential equations
• Positive almost periodic solution for a class of Lasota-Wazewska model with multiple time-varying delays
• Optimal mild solutions and weighted pseudo-almost periodic classical solutions of fractional integro-differential equations
• Pseudo almost automorphic solutions of fractional order neutral differential equation
• Asymptotic periodicity for some evolution equations in Banach spaces
• Pseudo almost automorphic and weighted pseudo almost automorphic mild solutions to semi-linear differential equations in Hilbert spaces
• Almost periodic and pseudo-almost periodic solutions to fractional differential and integro-differential equations
• A Massera type theorem for almost automorphic solutions of differential equations
• Weighted pseudo-almost periodic solutions of a class of semilinear fractional differential equations
• Existence of the mild solution for some fractional differential equations with nonlocal conditions
• Almost automorphic solutions for hyperbolic semilinear evolution equations
• Massera type theorem for almost automorphic solutions of functional differential equations of neutral type
• On integral solutions of some nonlocal fractional differential equations with nondense domain
• On the concept of solution for fractional differential equations with uncertainty
• Almost automorphic solutions to a class of semilinear fractional differential equations
• Weighted pseudo almost periodic functions and applications
• Pseudo almost automorphic solutions to semilinear differential equations in Banach spaces
• Basic theory of fractional differential equations
• Theory of fractional functional differential equations
• On type of periodicity and ergodicity to a class of fractional order differential equations
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• On some classes of almost automorphic functions and applications to fractional differential equations
• On almost automorphic mild solutions for fractional semilinear initial value problems
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• A Cauchy problem for some fractional abstract differential equation with non local conditions
• Some properties of pseudo-almost automorphic functions and applications to abstract differential equations
• Stepanov-like pseudo almost periodic functions and their applications to differential equations
• Existence of pseudo-almost automorphic solutions to some abstract differential equations with \(\mathbf S^p\)-pseudo-almost automorphic coefficients
• Existence of asymptotically almost automorphic solutions to some abstract partial neutral integro-differential equations
• \(S\)-asymptotically \(\omega \)-periodic solutions of semilinear fractional integro-differential equations
• Weighted pseudo almost automorphic functions and applications to abstract differential equations
• A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
• Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations
• Existence of weighted pseudo-almost periodic solutions to some classes of differential equations with \(\mathbf S^p\)-weighted pseudo-almost periodic coefficients
• Almost periodic differential equations
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Almost periodicity of mild solutions of inhomogeneous periodic Cauchy problems
• Almost periodic solutions of first- and second-order Cauchy problems
• Fractional differential equations driven by Lévy noise
• Almost automorphic solutions for abstract functional differential equations.
• Some probability densities and fundamental solutions of fractional evolution equations
• Cauchy problem for fractional diffusion equations
• Existence and uniqueness of almost automorphic mild solutions to some semilinear abstract differential equations
• Pseudo-almost periodic solutions of a class of semilinear fractional differential equations
• Almost periodically forced circle flows
• Almost automorphic solutions for partial functional differential equations with infinite delay
• Composition of pseudo almost automorphic and asymptotically almost automorphic functions
• Existence results for fractional order functional differential equations with infinite delay
• Stepanov-like almost automorphic functions and monotone evolution equations
• The functional calculus for sectorial operators
• Almost periodic linear differential equations with non-separated solutions
• Existence and uniqueness of mild solutions to impulsive fractional differential equations
• Existence of \(S\)-asymptotically \(\omega \)-periodic solutions for fractional order functional integro-differential equations with infinite delay
• Some properties of Stepanov-like almost automorphic functions and applications to abstract evolution equations
• UNIFORM CONVERGENCE OF MONOTONE SEQUENCES OF FUNCTIONS
• Almost Periodic Oscillations and Waves
• On almost Periodic Solutions of the Competing Species Problems
• Almost automorphic and almost periodic dynamics in skew-product semiflows
• Topics in Almost Automorphy
• Almost automorphic solutions of semilinear evolution equations
• On Generalized Almost Periodic Functions (II)
• CONTINUOUS MAPPINGS OF ALMOST AUTOMORPHIC AND ALMOST PERIODIC FUNCTIONS
• Stepanov-like almost automorphic functions and applications to some semilinear equations
• A NEW APPROACH TO ALMOST PERIODICITY
• Linear Functionals on Almost Periodic Functions
• Existence and uniqueness of pseudo almost periodic solutions of semilinear Cauchy problems with non dense domain

This page was built for publication: Weighted Stepanov-like pseudo-almost automorphic mild solutions for semilinear fractional differential equations