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2019 Practical stability analysis with respect to manifolds and boundedness of differential equations with fractional-like derivatives
Anatoliy Martynyuk, Gani Stamov, Ivanka Stamova
Rocky Mountain J. Math. 49(1): 211-233 (2019). DOI: 10.1216/RMJ-2019-49-1-211

Abstract

In this paper, a new approach for studying the practical stability and boundedness with respect to a manifold of the solutions of a class of fractional differential equations is applied. The technique is based on the recently defined ``fractional-like derivative'' of Lyapunov-type functions. Sufficient conditions using vector Lyapunov functions are established. Examples are also presented to illustrate the theory.

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Anatoliy Martynyuk. Gani Stamov. Ivanka Stamova. "Practical stability analysis with respect to manifolds and boundedness of differential equations with fractional-like derivatives." Rocky Mountain J. Math. 49 (1) 211 - 233, 2019. https://doi.org/10.1216/RMJ-2019-49-1-211

Information

Published: 2019
First available in Project Euclid: 10 March 2019

zbMATH: 07054933
MathSciNet: MR3921874
Digital Object Identifier: 10.1216/RMJ-2019-49-1-211

Subjects:
Primary: 34A08
Secondary: 34D20, 34D35

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.49 • No. 1 • 2019
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