Sci Math | Decay integral solutions for a class of impulsive fractional differential equations in Banach spaces

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Decay integral solutions for a class of impulsive fractional differential equations in Banach spaces

Authors: Đỗ Lân, Trần Đình Kế,

https://doi.org/10.2478/s13540-014-0157-5

Publisher, magazine: ,

Publication year: 2014

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Abstract

The aim of this paper is to establish the existence of decay integral solutions to a class of retarded fractional differential equations involving impulsive effects. The results are obtained by using the fixed point approach and fractional calculus tools in Banach spaces. Applications to both ordinary and partial differential equations are presented.

Tags: decay integral solution; fractional differential equation; impulsive condition; nonlocal condition; condensing map; fixed point; measure of non-compactness; MNC estimate

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