Abstract:
Study of dynamical systems with discontinuous trajectories or with impulse effect, is one of the most exciting subjects due to its extensive applications in realistic mathematical modeling of a wide variety of practical situations. Fractional differential equations which already have the hereditary property, with impulse effect, will give better results and the study of the corresponding theory is a hugely demanding task. This thesis is devoted to the study of the existence and uniqueness of mild solutions of some classes fractional evolution equations subject to non-instantaneous impulses.