TY  - JOUR
ID  - Wang2010
LB  - Wang2010
AU  - Wang, JinRong
AU  - Wei, W.
AU  - Yang, YanLong
TI  - On some impulsive fractional differential equations in Banach spaces
ST  - On some impulsive fractional differential equations in Banach spaces
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2010
VL  - 30
IS  - 4
SP  - 507
EP  - 525
DO  - http://dx.doi.org/10.7494/OpMath.2010.30.4.507
UR  - http://dx.doi.org/10.7494/OpMath.2010.30.4.507
AB  - 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.
KW  - fractional differential equations with impulses
KW  - nonlinear impulsive singular version of the Gronwall inequality
KW  - \(PC\)-mild solutions
KW  - existence
SN  - 1232-9274
ER  -