Existence and Attractivity for Fractional Evolution Equations

Existence and Attractivity for Fractional Evolution Equations

We study the existence and attractivity of solutions for fractional evolution equations with Riemann-Liouville fractional derivative. We establish sufficient conditions for the global attractivity of mild solutions for the Cauchy problems in the case that semigroup is compact.

Bibliographic Details
Main Authors:	Yong Zhou, Jia Wei He, Bashir Ahmad, Ahmed Alsaedi
Format:	Article
Language:	English
Published:	Hindawi Limited 2018-01-01
Series:	Discrete Dynamics in Nature and Society
Online Access:	http://dx.doi.org/10.1155/2018/1070713

Similar Items

Attractivity for Hilfer fractional stochastic evolution equations
by: Min Yang, et al.
Published: (2020-03-01)

Existence and attractivity of solutions for fractional difference equations
by: Lu Zhang, et al.
Published: (2018-05-01)

Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions
by: Alsaedi Ahmed, et al.
Published: (2010-01-01)

Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions
by: Ahmed Alsaedi, et al.
Published: (2010-01-01)

Integral solutions of fractional evolution equations with nondense domain
by: Haibo Gu, et al.
Published: (2017-06-01)

Existence and Uniqueness of Solutions for Coupled Systems of Higher-Order Nonlinear Fractional Differential Equations
by: Ahmad Bashir, et al.
Published: (2010-01-01)

Existence and Uniqueness of Solutions for Coupled Systems of Higher-Order Nonlinear Fractional Differential Equations
by: Bashir Ahmad, et al.
Published: (2010-01-01)

Existence Results for a System of Coupled Hybrid Fractional Differential Equations
by: Bashir Ahmad, et al.
Published: (2014-01-01)

Existence results for Caputo type fractional differential equations with four-point nonlocal fractional integral boundary conditions
by: Bashir Ahmad, et al.
Published: (2012-11-01)

Existence of solutions for sequential fractional differential equations with four-point nonlocal fractional integral boundary conditions
by: Ahmad Bashir, et al.
Published: (2013-10-01)

New Existence Results for Fractional Integrodifferential Equations with Nonlocal Integral Boundary Conditions
by: Ahmed Alsaedi, et al.
Published: (2015-01-01)

Existence of solutions for fractional difference equations via topological degree methods
by: Jia Wei He, et al.
Published: (2018-04-01)

Existence of solutions for Riemann-Liouvillle type coupled systems of fractional integro-differential equations and boundary conditions
by: Ahmed Alsaedi, et al.
Published: (2016-08-01)

Existence Theorems for Mixed Riemann–Liouville and Caputo Fractional Differential Equations and Inclusions with Nonlocal Fractional Integro-Differential Boundary Conditions
by: Sotiris K. Ntouyas, et al.
Published: (2019-04-01)

New Existence Results for Nonlinear Fractional Differential Equations with Three-Point Integral Boundary Conditions
by: Ntouyas SotirisK, et al.
Published: (2011-01-01)

New Existence Results for Nonlinear Fractional Differential Equations with Three-Point Integral Boundary Conditions
by: Bashir Ahmad, et al.
Published: (2011-01-01)

Some existence results for boundary value problems of fractional semilinear evolution equations
by: Bashir Ahmad
Published: (2009-04-01)

Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations
by: Bashir Ahmad, et al.
Published: (2020-11-01)

Hilfer-Hadamard fractional differential equations; Existence and Attractivity
by: Fatima Si Bachir, et al.
Published: (2020-12-01)

Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions
by: Aqlan Mohammed H., et al.
Published: (2016-01-01)

Existence of Solutions for Integrodifferential Equations of Fractional Order with Antiperiodic Boundary Conditions
by: Ahmed Alsaedi
Published: (2009-01-01)

Existence and Uniqueness Results for a Coupled System of Caputo-Hadamard Fractional Differential Equations with Nonlocal Hadamard Type Integral Boundary Conditions
by: Shorog Aljoudi, et al.
Published: (2020-04-01)

Existence results for coupled nonlinear fractional differential equations of different orders with nonlocal coupled boundary conditions
by: Ahmed Alsaedi, et al.
Published: (2021-05-01)

Existence Theory for q-Antiperiodic Boundary Value Problems of Sequential q-Fractional Integrodifferential Equations
by: Ravi P. Agarwal, et al.
Published: (2014-01-01)

Lifespan of solutions of a fractional evolution equation with higher order diffusion on the Heisenberg group
by: Ahmed Alsaedi, et al.
Published: (2020-01-01)

Topological properties of solution sets of fractional stochastic evolution inclusions
by: Yong Zhou, et al.
Published: (2017-03-01)

Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations
by: Bashir Ahmad, et al.
Published: (2021-08-01)

Existence theory for nonlocal boundary value problems involving mixed fractional derivatives
by: Bashir Ahmad, et al.
Published: (2019-11-01)

Existence and Analytic Approximation of Solutions of Duffing Type Nonlinear Integro-Differential Equation with Integral Boundary Conditions
by: Ahmed Alsaedi, et al.
Published: (2009-01-01)

Existence and Analytic Approximation of Solutions of Duffing Type Nonlinear Integro-Differential Equation with Integral Boundary Conditions
by: Alsaedi Ahmed, et al.
Published: (2009-01-01)

Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four-Point Multiterm Fractional Integral Boundary Conditions
by: Ahmed Alsaedi, et al.
Published: (2013-01-01)

Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary Conditions
by: Bashir Ahmad, et al.
Published: (2019-03-01)

Existence and attractivity results for ψ -Hilfer hybrid fractional differential equations
by: Fatima Si bachir, et al.
Published: (2021-04-01)

Existence theory for nonlocal boundary value problems involving mixed fractional derivatives
by: Bashir Ahmad, et al.
Published: (2019-11-01)

Existence Results for a Nonlocal Coupled System of Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals
by: Sotiris K. Ntouyas, et al.
Published: (2020-04-01)

Existence results for multi-term fractional differential equations with nonlocal multi-point and multi-strip boundary conditions
by: Ravi P. Agarwal, et al.
Published: (2018-09-01)

On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations
by: Ahmed Alsaedi, et al.
Published: (2012-01-01)

An Existence Theorem for Fractional q-Difference Inclusions with Nonlocal Substrip Type Boundary Conditions
by: Ahmed Alsaedi, et al.
Published: (2015-01-01)

Existence results for a coupled system of Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions
by: Ahmed Alsaedi, et al.
Published: (2021-01-01)

Existence results for Riemann-Liouville fractional integro-differential inclusions with fractional nonlocal integral boundary conditions
by: Bashir Ahmad, et al.
Published: (2021-05-01)