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A dissipative approach to the stability of multi-order fractional systems
(Oxford University Press, 2020)
Real-order generalization of dissipativeness and passivity concepts are presented in this paper. They are characterized as properties of a system; that is, they are independent of the system's internal representation and ...
Vector Lyapunov-like functions for multi-order fractional systems with multiple time-varying delays
(Elsevier, 2020)
In this paper, a general method to establish the asymptotic behaviour of solutions to multi-order multiple time-varying delays nonlinear systems is proposed. The method, relying on vector Lyapunov-like functions and on ...
Stability and applications of multi-order fractional systems
(Amer Inst MathematicaL Sciences-Aims, 2021)
This paper establishes conditions for global/local robust asymptotic
stability for a class of multi-order nonlinear fractional systems consisting
of a linear part plus a global/local Lipschitz nonlinear term. The ...
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 ...
Enhancement the Frequency Stability and Protection of Interconnected Microgrid Systems Using Advanced Hybrid Fractional Order Controller
(2022)
Substituting conventional energy sources with new renewable sources is crucial issue nowadays in energy generation systems to face climate changes and increased load demands. Due to the increased penetration levels of ...
A numerical method for solving Caputo’s and Riemann-Liouville’s fractional differential equations which includes multi-order fractional derivatives and variable coefficients
(Grupo de Manejo Eficiente de la Energía (GIMEL)Medellín, Colombia, 2020)
Attractiveness and stability for Riemann-Liouville fractional systems
(2018)
We propose a novel approach to study the asymptotic behavior of solutions to Riemann-Liouville (RL) fractional equations. It is shown that the standard Lyapunov approach is not suited and an extension employing two (pseudo) ...
Cálculo fracionário aplicado em dinâmica tumoral: método da Transformada Diferencial generalizada
(Universidade Estadual Paulista (Unesp), 2016-02-29)
Um dos problemas de saúde mais conhecidos e temidos atualmente e o câncer. Hoje em dia, existem diversos estudos e trabalhos acerca do tratamento e combate desta doença. Nesse sentido, este trabalho utiliza o Cálculo ...
Cálculo fracionário aplicado em dinâmica tumoral: método da Transformada Diferencial generalizadaFractional calculus applied to tumor dynamics: generalized Differential Transform method
(Universidade Estadual Paulista (Unesp), 2016)
Cálculo fracionário aplicado em dinâmica tumoral: método da Transformada Diferencial generalizada
(Universidade Estadual Paulista (UNESP), 2016)