Electron. J. Diff. Equ.,
Vol. 2013 (2013), No. 81, pp. 121.
Existence of solutions to impulsive fractional partial neutral
stochastic integrodifferential inclusions with statedependent delay
Zuomao Yan, Hongwu Zhang
Abstract:
We study the existence of mild solutions for a class of impulsive
fractional partial neutral stochastic integrodifferential inclusions
with statedependent delay. We assume that the undelayed part
generates a solution operator and transform it into an integral equation.
Sufficient conditions for the existence of solutions are derived by
using the nonlinear alternative of LeraySchauder type for multivalued
maps due to O'Regan and properties of the solution operator. An example is
given to illustrate the theory.
Submitted September 25, 2012. Published March 29, 2013.
Math Subject Classifications: 34A37, 60H10, 34K50, 34G25, 26A33.
Key Words: Impulsive stochastic integrodifferential inclusions;
statedependent delay; multivalued map;
fractional neutral integrodifferential inclusions.
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Zuomao Yan
Department of Mathematics, Hexi University
Zhangye, Gansu 734000, China
email: yanzuomao@163.com


Hongwu Zhang
Department of Mathematics, Hexi University
Zhangye, Gansu 734000, China
email: zhhongwu@163.com

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