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 ...

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. ...

© 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 ...

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 ...

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 ...

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 ...

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 ...

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. ...

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 ...