Monotone iterative technique for fractional evolution equations in banach spaces

We investigate the initial value problem for a class of fractional evolution equations in a banach space. under some monotone conditions and noncompactness measure conditions of the nonlinearity,the well-known monotone iterative technique is then extended for fractional evolution equations which provides computable monotone sequences that converge to the extremal solutions in a sector generated by upper and lower solutions. an example to illustrate the applications of the main results is given. copyright © 2011 jia mu.