%0 Journal Article
%F Wang2010
%A Wang, JinRong
%A Yang, YanLong
%A Wei, W.
%T Nonlocal impulsive problems for fractional differential equations with time-varying generating operators in Banach spaces
%! Nonlocal impulsive problems for fractional differential equations with time-varying generating operators in Banach spaces
%J Opuscula Mathematica
%O Opuscula Math.
%D 2010
%V 30
%N 3
%P 361-381
%R http://dx.doi.org/10.7494/OpMath.2010.30.3.361
%U http://dx.doi.org/10.7494/OpMath.2010.30.3.361
%X 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.
%K nonlocal conditions
impulsive equations
fractional differential equations
time-varying generating operators
\(PC\)-mild solution
%@ 1232-9274