6 papers
A fractal viewpoint to COVID-19 infection
Oscar Sotolongo-Costa, José Weberszpil, Oscar Sotolongo-Grau
One of the central tools to control the COVID-19 pandemics is the knowledge of its spreading dynamics. Here we develop a fractal model capable of describe this dynamics, in term of…
Variational Procedure for Higher-Derivative Mechanical Models in a Fractional Integral Framework
C. F. L. Godinho, Nelson Panza, J. A. Helayël Neto
We present both the Lagrangian and Hamiltonian procedures for treating higher-order equations of motion for mechanical models by adopting the Riemann-Liouville Fractional integral…
Dual Conformable Derivative: Definition, Simple Properties and Perspectives for Applications
Wanderson Rosa, José Weberszpil
In this communication, one shows that there exists in the literature a certain form of deformed derivative that can here be identified as the dual of conformable derivative. The de…
Extension and Applications of a Variational Approach with Deformed Derivatives
J. Weberszpil, J. A. Helayël-Neto
We have recently presented an extension of the standard variational calculus to include the presence of deformed derivatives in the Lagrangian of a system of particles and in the L…
A Spatial Structural Derivative Model for Ultraslow Diffusion
Wei Xu, Wen Chen, Yingjie Liang +1
This study investigates the ultraslow diffusion by a spatial structural derivative, in which the exponential function exp(x)is selected as the structural function to construct the…
The Fractional London Equation and The Fractional Pippard Model For Superconductors
José Weberszpil
With the discovery of new superconductors there was a running to find the justifications for the new properties found in these materials. In order to describe these new effects som…