Abstract
In this paper, we initiate the question of the attractivity of solutions for fractional evolution equations with almost sectorial operators. We establish sufficient conditions for the existence of globally attractive solutions for the Cauchy problems in cases that semigroup is compact as well as noncompact. Our results essentially reveal certain characteristics of solutions for fractional evolution equations, which are not possessed by integer order evolution equations.
Acknowledgements
The authors are very grateful to the editor and reviewers for their valuable comments. The work was supported by the National Natural Science Foundation of China (No. 11671339).
References
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© 2018 Diogenes Co., Sofia
Articles in the same Issue
- Frontmatter
- Editorial
- FCAA related news, events and books (FCAA–Volume 21–3–2018)
- Research Paper
- Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces
- Novel polarization index evaluation formula and fractional-order dynamics in electric motor insulation resistance
- The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces
- Parallel algorithms for modelling two-dimensional non-equilibrium salt transfer processes on the base of fractional derivative model
- Some iterated fractional q-integrals and their applications
- Lebesgue regularity for nonlocal time-discrete equations with delays
- Multiple positive solutions for a boundary value problem with nonlinear nonlocal Riemann-Stieltjes integral boundary conditions
- Error estimates of high-order numerical methods for solving time fractional partial differential equations
- The Laplace transform induced by the deformed exponential function of two variables
- Attractivity for fractional evolution equations with almost sectorial operators
- The multiplicity solutions for nonlinear fractional differential equations of Riemann-Liouville type
- Well-posedness of general Caputo-type fractional differential equations
- Lyapunov-type inequalities for nonlinear fractional differential equation with Hilfer fractional derivative under multi-point boundary conditions
- Inverse source problem for a space-time fractional diffusion equation
- Erratum
- Erratum to: Invariant subspace method: A tool for solving fractional partial differential equations, in: FCAA-20-2-2017
Articles in the same Issue
- Frontmatter
- Editorial
- FCAA related news, events and books (FCAA–Volume 21–3–2018)
- Research Paper
- Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces
- Novel polarization index evaluation formula and fractional-order dynamics in electric motor insulation resistance
- The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces
- Parallel algorithms for modelling two-dimensional non-equilibrium salt transfer processes on the base of fractional derivative model
- Some iterated fractional q-integrals and their applications
- Lebesgue regularity for nonlocal time-discrete equations with delays
- Multiple positive solutions for a boundary value problem with nonlinear nonlocal Riemann-Stieltjes integral boundary conditions
- Error estimates of high-order numerical methods for solving time fractional partial differential equations
- The Laplace transform induced by the deformed exponential function of two variables
- Attractivity for fractional evolution equations with almost sectorial operators
- The multiplicity solutions for nonlinear fractional differential equations of Riemann-Liouville type
- Well-posedness of general Caputo-type fractional differential equations
- Lyapunov-type inequalities for nonlinear fractional differential equation with Hilfer fractional derivative under multi-point boundary conditions
- Inverse source problem for a space-time fractional diffusion equation
- Erratum
- Erratum to: Invariant subspace method: A tool for solving fractional partial differential equations, in: FCAA-20-2-2017