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Analysis of Equivalent Circuits for Cells: A Fractional Calculus Approach
(Facultad de Ingeniería, 2012)
Fractional Sobolev spaces with variable exponents and fractional p(X)-Laplacians
(Univ Szeged, 2017-11)
In this article we extend the Sobolev spaces with variable exponents to include the fractional case, and we prove a compact embedding theorem of these spaces into variable exponent Lebesgue spaces. As an application we ...
Optimal partition problems for the fractional Laplacian
(Springer Heidelberg, 2018-04)
In this work, we prove an existence result for an optimal partition problem of the form min{Fs(A1, …, Am) : Ai ∈ As, Ai ∩ Aj = ∅ for i ≠ j}, where Fs is a cost functional with suitable assumptions of monotonicity and lower ...
The k-fractional logistic equation with k-caputo derivative
(Hikari Ltd, 2015)
A generalization of the fractional logistic equation by using k-Caputo
derivative is introduced. Also a solution that can be expressed en terms
of the k-Mittag-Le er function is obtained.
The development of this paper ...
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 ...
Ground state solution for differential equations with left and right fractional derivatives
(Wiley & Sons, 2015)
In this work, we study the existence of positive solutions for a class of fractional differential equation given by
D-t(infinity-infinity)alpha D(t)(alpha)u(t) + u(t) = f(t,u(t)),
u is an element of H-alpha (R), ...
Introdução ao cálculo de ordem não inteira
(Blumenau, SC., 2022)
Fractional Order Differential Inclusions via the Topological Transversality Method
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2011)