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Global stability analysis of a fractional differential system in hepatitis B
(2021-02-01)
This paper describes the dynamics of hepatitis B by a fractional-order model in the Caputo sense. The basic results of the fractional hepatitis B model are presented. Two equilibrium point for the model exists, the ...
Analysis of fractional-order models for hepatitis B
(2018-09-01)
This paper presents two models for hepatitis B, both given by fractional differential equations. The first model is formulated without parameters that indicate drug therapy, while the second one considers the drug therapy. ...
Comments on "Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks"
(Elsevier, 2015)
© 2015 Elsevier B.V. This letter shows an incorrect application of the chain rule for fractional order derivatives reported in paper (Chen et al., 2014). Due to this misleading application, the proof of Theorem 2 and Theorem ...
Comments on ‘‘Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks’’
(Elsevier, 2015)
This letter shows an incorrect application of the chain rule for fractional order derivatives
reported in paper (Chen et al., 2014). Due to this misleading application, the proof of
Theorem 2 and Theorem 5 in Chen et ...
Smooth solutions to mixed-order fractional differential systems with applications to stability analysis
(Rocky Mountain Mathematics Consortium, 2019)
Conditions for existence, uniqueness and smoothness of solutions for systems of fractional differential equations of Caputo and/or Riemann-Liouville type having all of them in general and not of the same derivation order ...
Converse theorems in Lyapunov's second method and applications for fractional order systems
(TUBITAK, 2019)
We establish a characterization of the Lyapunov and Mittag-Leffler stability through (fractional) Lyapunov functions, by proving converse theorems for Caputo fractional order systems. A hierarchy for the Mittag-Leffler ...
The fractional discrete nonlinear Schrodinger equation
(Elsevier, 2020)
We examine a fractional version of the discrete nonlinear Schrodinger (dnls) equation, where the usual discrete laplacian is replaced by a fractional discrete laplacian. This leads to the replacement of the usual ...
H-infinity-stability Analysis Of Fractional Delay Systems Of Neutral Type
(SIAM PUBLICATIONSPHILADELPHIA, 2016)
Existence and stability of standing waves for nonlinear fractional schrödinger equation with logarithmic nonlinearity
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAUFMG, 2017-05)
Neste artigo consideramos a equação logarítmica fracionária não linear de Schrödinger. Usando um método de compactação, construímos uma solução global única do problema de Cauchy associado em uma estrutura funcional adequada. ...
Stability analysis and numerical simulations via fractional calculus for tumor dormancy models
(2019-06-30)
Fractional calculus is a field of mathematics in considerable expansion and has been understood as a tool with a wide range of applications, including in biological systems. Cancer dormancy is a state in which cancer cells ...