EXISTENCE RESULTS FOR A NEW CLASS OF FRACTIONAL IMPULSIVE PARTIAL NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

Zuomao Yan; Fangxia Lu

doi:10.11948/2015029

2015 Volume 5 Issue 3

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Zuomao Yan, Fangxia Lu. EXISTENCE RESULTS FOR A NEW CLASS OF FRACTIONAL IMPULSIVE PARTIAL NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J]. Journal of Applied Analysis & Computation, 2015, 5(3): 329-346. doi: 10.11948/2015029

Citation:

Zuomao Yan, Fangxia Lu. EXISTENCE RESULTS FOR A NEW CLASS OF FRACTIONAL IMPULSIVE PARTIAL NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J]. Journal of Applied Analysis & Computation, 2015, 5(3): 329-346. doi: 10.11948/2015029

EXISTENCE RESULTS FOR A NEW CLASS OF FRACTIONAL IMPULSIVE PARTIAL NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

Zuomao Yan^1,2,
Fangxia Lu²

1 School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, P. R. China;
2 Department of Mathematics, Hexi University, Zhangye, Gansu 734000, P. R. China

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Abstract

Abstract

In this paper, a new class of fractional impulsive partial neutral stochastic integro-differential equations with infinite delay is introduced. Under some dissipative conditions, we obtain the existence, uniqueness and continuous dependence of mild solutions for these equations. An application involving a fractional stochastic parabolic system with not instantaneous impulses is considered.
- Fractional neutral integro-differential equations /
- impulsive partial neutral stochastic integro-differential equations /
- infinite delay /
- solution operator /
- fixed point
MSC: 34A37;60H10;34K50;34G25;26A33

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References

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