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Open Access Research

Extremal mild solutions for impulsive fractional evolution equations with nonlocal initial conditions

Jia Mu

Author affiliations

School of Mathematics and Computer Science Institute, Northwest University for Nationalities, Lanzhou, Gansu, People’s Republic of China

Citation and License

Boundary Value Problems 2012, 2012:71  doi:10.1186/1687-2770-2012-71

Published: 5 July 2012

Abstract

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.

Keywords:
impulsive fractional evolution equations; nonlocal initial conditions; extremal mild solutions; monotone iterative technique