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Fractal Fract., Volume 2, Issue 2 (June 2018) – 4 articles

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3 pages, 167 KiB  
Editorial
Fractional Dynamics
by Carlo Cattani and Renato Spigler
Fractal Fract. 2018, 2(2), 19; https://doi.org/10.3390/fractalfract2020019 - 17 Jun 2018
Cited by 4 | Viewed by 2860
(This article belongs to the Special Issue Fractional Dynamics)
12 pages, 401 KiB  
Article
Analytical Solutions to Fractional Fluid Flow and Oscillatory Process Models
by Yusuf F. Zakariya, Yusuf O. Afolabi, Rahmatullah I. Nuruddeen and Ibrahim O. Sarumi
Fractal Fract. 2018, 2(2), 18; https://doi.org/10.3390/fractalfract2020018 - 27 May 2018
Cited by 7 | Viewed by 2743
Abstract
In this paper, we provide solutions to the general fractional Caputo-type differential equation models for the dynamics of a sphere immersed in an incompressible viscous fluid and oscillatory process with fractional damping using Laplace transform method. We study the effects of fixing one [...] Read more.
In this paper, we provide solutions to the general fractional Caputo-type differential equation models for the dynamics of a sphere immersed in an incompressible viscous fluid and oscillatory process with fractional damping using Laplace transform method. We study the effects of fixing one of the fractional indices while varying the other as particular examples. We conclude this article by explaining the dynamics of the solutions of the models. Full article
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10 pages, 293 KiB  
Article
Lyapunov Characterization of the Fractional Nonlinear Systems with Exogenous Input
by Ndolane Sene
Fractal Fract. 2018, 2(2), 17; https://doi.org/10.3390/fractalfract2020017 - 2 May 2018
Cited by 19 | Viewed by 5170
Abstract
This paper deals with a Lyapunov characterization of the conditional Mittag-Leffler stability and conditional asymptotic stability of the fractional nonlinear systems with exogenous input. A particular class of the fractional nonlinear systems is studied. The paper contributes to giving in particular the Lyapunov [...] Read more.
This paper deals with a Lyapunov characterization of the conditional Mittag-Leffler stability and conditional asymptotic stability of the fractional nonlinear systems with exogenous input. A particular class of the fractional nonlinear systems is studied. The paper contributes to giving in particular the Lyapunov characterization of fractional linear systems and fractional bilinear systems with exogenous input. Full article
3 pages, 195 KiB  
Editorial
The Craft of Fractional Modeling in Science and Engineering 2017
by Jordan Hristov
Fractal Fract. 2018, 2(2), 16; https://doi.org/10.3390/fractalfract2020016 - 15 Apr 2018
Cited by 6 | Viewed by 2996
(This article belongs to the Special Issue The Craft of Fractional Modelling in Science and Engineering)
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