Journal
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
Volume 21, Issue 3, Pages 786-800Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/fca-2018-0041
Keywords
fractional evolution equations; attractivity; Caputo derivative; Riemann-Liuoville derivative
Funding
- National Natural Science Foundation of China [11671339]
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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 non-compact. Our results essentially reveal certain characteristics of solutions for fractional evolution equations, which are not possessed by integer order evolution equations.
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