Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (2): 405-421.

• Articles • Previous Articles     Next Articles

Well-Posedness for Fractional Neutral Impulsive Stochastic Integro-Differential Equations

Diem Dang Huan1,2, Gao Hongjun1   

  1. 1. School of Mathematical Science, Nanjing Normal University, Nanjing 210023;
    2. Faculty of Basic Sciences, Bacgiang Agriculture and Forestry University, Bacgiang 21000, Vietnam
  • Received:2013-07-12 Revised:2014-04-28 Online:2015-04-25 Published:2015-04-25

Abstract:

This paper deals with the well-posedness of mild solutions for a class of fractional neutral impulsive stochastic integro-differential equations with infinite delay in Hilbert spaces. The results are obtained by using the Sadovskii fixed point theorem combined with theories of α-resolvent operators. An example is provided to illustrate the effectiveness of the proposed results.

Key words: α-Resolvent operator, Fractional stochastic integro-differential equations, Phase space, Neutral, Impulses, Sadovskii's fixed point theorem

CLC Number: 

  • O211.63
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