@Article{Wang2010, author = "Wang, JinRong and Yang, YanLong and Wei, W.", title = "Nonlocal impulsive problems for fractional differential equations with time-varying generating operators in Banach spaces", journal = "Opuscula Math.", year = "2010", volume = "30", number = "3", pages = "361--381", doi = "http://dx.doi.org/10.7494/OpMath.2010.30.3.361", url = "http://dx.doi.org/10.7494/OpMath.2010.30.3.361", abstract = "In this paper, we study the existence and uniqueness of the \(PC\)-mild solution for a class of impulsive fractional differential equations with time-varying generating operators and nonlocal conditions. By means of the generalized Ascoli-Arzela Theorem given by us and the fixed point theorem, some existence and uniqueness results are obtained. Finally, an example is given to illustrate the theory.", keywords = "nonlocal conditions, impulsive equations, fractional differential equations, time-varying generating operators, \(PC\)-mild solution", issn = "1232-9274" }