TY  - JOUR
ID  - Wang2010
LB  - Wang2010
AU  - Wang, JinRong
AU  - Yang, YanLong
AU  - Wei, W.
TI  - Nonlocal impulsive problems for fractional differential equations with time-varying generating operators in Banach spaces
ST  - Nonlocal impulsive problems for fractional differential equations with time-varying generating operators in Banach spaces
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2010
VL  - 30
IS  - 3
SP  - 361
EP  - 381
DO  - http://dx.doi.org/10.7494/OpMath.2010.30.3.361
UR  - http://dx.doi.org/10.7494/OpMath.2010.30.3.361
AB  - 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.
KW  - nonlocal conditions
KW  - impulsive equations
KW  - fractional differential equations
KW  - time-varying generating operators
KW  - \(PC\)-mild solution
SN  - 1232-9274
ER  -