The existence and uniqueness of mild solutions for semilinear impulsive neutral fractional integrodifferential equations with nonlocal conditions in the &amp;#x03B1; -norm

Shuo Zhao Shuo Zhao,Jun Yang Jun Yang

doi:10.1109/icmt.2011.6002552

The existence and uniqueness of mild solutions for semilinear impulsive neutral fractional integrodifferential equations with nonlocal conditions in the &#x03B1; -norm

Shuo Zhao Shuo Zhao, Jun Yang Jun Yang

https://doi.org/10.1109/icmt.2011.6002552

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Publication Date: Jul 1, 2011

Citations: 4

Affiliation: Yanshan University

#Impulsive Neutral Integrodifferential Equations #Impulsive Fractional Integrodifferential Equations + Show 8 more

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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.

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