Cauchy problems of fractional evolution equations on an infinite
interval
- J.W. He
, - Yong Zhou,
- Bashir Ahmad,
- Ahmed Alsaedi
Abstract
In this paper, we investigate the existence and attractivity of mild
solutions to fractional evolution equations with Caputo fractional
derivative on an infinite interval. Our methods are based on fractional
calculus, semigroup theory, compactness methods and the measure of
noncompactness. Several sufficient conditions for the existence of
solutions to the given problem are proposed. Examples illustrating the
main results are presented.
