APPROXIMATE CONTROLLABILITY OF IMPULSIVE RIEMANN-LIOUVILLE FRACTIONAL EQUATIONS IN BANACH SPACES

摘要

In this paper, we study control systems governed by impulsive Riemann-Liouville fractional differential equations in Banach spaces. Firstly,we introduce PC1-alpha-mild solutions for impulsive Riemann-Liouville fractional differential equations. Then,we make a set of assumptions to guarantee the existence and uniqueness of mild solutions. Finally,approximate controllability of the associated impulsive Riemann-Liouville fractional evolution control systems is also formulated and proved