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Journal of Applied Mathematics and Computing

Erschienen in:

01.06.2016 | Original Research

Existence and finite-time stability results for impulsive fractional differential equations with maxima

verfasst von: Yuruo Zhang, JinRong Wang

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2016

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Abstract

In this paper, we firstly establish an interesting impulsive Gronwall inequality with maxima involving Hadamard type singular kernel, which can be applied to make prior estimation. Secondly, we apply the above inequality and fixed point approach to show two existence results. Further, we show that finite-time stability result. Finally, an example is given to illustrate our theoretical results.

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Titel: Existence and finite-time stability results for impulsive fractional differential equations with maxima
verfasst von: Yuruo Zhang
JinRong Wang
Publikationsdatum: 01.06.2016
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2016
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-015-0891-9

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