@Article{Wang2010, author = "Wang, JinRong and Wei, W. and Yang, YanLong", title = "On some impulsive fractional differential equations in Banach spaces", journal = "Opuscula Math.", year = "2010", volume = "30", number = "4", pages = "507--525", doi = "http://dx.doi.org/10.7494/OpMath.2010.30.4.507", url = "http://dx.doi.org/10.7494/OpMath.2010.30.4.507", abstract = "This paper deals with some impulsive fractional differential equations in Banach spaces. Utilizing the Leray-Schauder fixed point theorem and the impulsive nonlinear singular version of the Gronwall inequality, the existence of \(PC\)-mild solutions for some fractional differential equations with impulses are obtained under some easily checked conditions. At last, an example is given for demonstration.", keywords = "fractional differential equations with impulses, nonlinear impulsive singular version of the Gronwall inequality, \(PC\)-mild solutions, existence", issn = "1232-9274" }