Extremal mild solutions for impulsive fractional evolution equations with nonlocal initial conditions
School of Mathematics and Computer Science Institute, Northwest University for Nationalities, Lanzhou, Gansu, People’s Republic of China
Boundary Value Problems 2012, 2012:71 doi:10.1186/1687-2770-2012-71Published: 5 July 2012
In this article, the theory of positive semigroup of operators and the monotone iterative technique are extended for the impulsive fractional evolution equations with nonlocal initial conditions. The existence results of extremal mild solutions are obtained. As an application that illustrates the abstract results, an example is given.