Title :
The existence and uniqueness of mild solutions for semilinear impulsive neutral fractional integrodifferential equations with nonlocal conditions in the α -norm
Author :
Zhao, Shuo ; Yang, Jun
Author_Institution :
Coll. of Sci., Yanshan Univ., Qinhuangdao, China
Abstract :
In this paper, existence and uniqueness of mild solutions for semilinear impulsive neutral fractional integrodifferential equations with nonlocal conditions in the α-norm are investigated by using Banach contraction principle and a fixed point theorem for condensing maps.
Keywords :
Banach spaces; fixed point arithmetic; integro-differential equations; Banach contraction principle; alpha-norms; fixed point theorem; mild solution uniqueness; nonlocal conditions; semilinear impulsive neutral fractional integrodifferential equations; Differential equations; Educational institutions; Integrodifferential equations; Manganese; Topology; existence and uniqueness; fractional integrodifferential equations; mild solutions; positive solutions;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002552
