Opuscula Math. 30, no. 4 (2010), 507-525
http://dx.doi.org/10.7494/OpMath.2010.30.4.507

Opuscula Mathematica

# On some impulsive fractional differential equations in Banach spaces

JinRong Wang
W. Wei
YanLong Yang

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.

Mathematics Subject Classification: 45N05, 93C25.

Full text (pdf)

JinRong Wang, W. Wei, YanLong Yang, On some impulsive fractional differential equations in Banach spaces, Opuscula Math. 30, no. 4 (2010), 507-525, http://dx.doi.org/10.7494/OpMath.2010.30.4.507

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