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Journal of Applied Mathematics and Computing
Published in: Journal of Applied Mathematics and Computing 1-2/2017

19-09-2016 | Original Research

Stable manifolds results for planar Hadamard fractional differential equations

Authors: Mengmeng Li, JinRong Wang

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2017

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Abstract

In this paper, we investigate local stable manifold for planar Hadamard fractional differential equations. By adopting Lyapunov–Perron operator approach and establishing new estimation of Mittag-Leffler function associated with Hadamard fractional derivative, we derive another interesting local stable manifold theorem for our problem. Finally, an example is given to illustrate our theoretical results.
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Metadata
Title
Stable manifolds results for planar Hadamard fractional differential equations
Authors
Mengmeng Li
JinRong Wang
Publication date
19-09-2016
Publisher
Springer Berlin Heidelberg
Published in
Journal of Applied Mathematics and Computing / Issue 1-2/2017
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-016-1054-3

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