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Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay

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Abstract

In this paper we prove the existence and uniqueness of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay in Banach spaces. We generalize the existence theorem for integer order differential equations to the fractional order case. The results obtained here improve and generalize many known results.

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  1. School of Mathematics and Physics, Anhui University of Architecture, Hefei, 230601, Anhui, P. R. China

    Shengli Xie

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  1. Shengli Xie
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Xie, S. Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay. Fract Calc Appl Anal 17, 1158–1174 (2014). https://doi.org/10.2478/s13540-014-0219-8

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