Attractivity for fractional evolution equations with almost sectorial operators
By Yong Zhou. Fractional Calculus and Applied Analysis, 2018
65 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/bd2b0f493a4e858d38a091b75a8dc3c6b2da5f98
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In Applied Mathematics
- Yong Zhou
- Bashir Ahmad
- Yongchun Liang
- Jia Wei He
- Jinrong Wang
- Michal Feckan
- V. Vijayakumar
- Nazim Idrisoglu Mahmudov
In Modeling and Simulation
- Yong Zhou
- Bashir Ahmad
- Yongchun Liang
- Jia Wei He
- Jinrong Wang
- Michal Feckan
- V. Vijayakumar
- Nazim Idrisoglu Mahmudov
Citations in the corpus
- Nonlocal Fractional Evolution Inclusions of Order α ∈ (1,2) (2019, background): “[3], Zhou [4], and the recent papers [5,6].”