50 citations · 168 across the 16 of their papers we have counts for
19 papers
An Extended Model of Non-Integer-Dimensional Space for Anisotropic Solids with q-Deformed Derivatives
José Weberszpil, Ralf Metzler
We propose a non-integer-dimensional spatial model for anisotropic solids by incorporating a q-deformed derivative operator, inspired by the Tsallis nonadditive entropy framework.…
Conformable Derivative Approach to Granular Gases
José Weberszpil, Cresus F. de L. Godinho, Ion Vasile Vancea
Proper modeling of complex systems requires innovative mathematical tools. In this sense, we sought to use deformed or fractal derivatives for studying the dynamics of systems, par…
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…
Structural Derivative Model for Tissue Radiation Response
José Weberszpil, Oscar Sotolongo-Costa
By means of a recently-proposed metric or structural derivative, called scale-q-derivative approach, we formulate differential equation that models the cell death by a radiation ex…
Structural scale derivative and the LLG-Equation in a scenario with fractionality
José Weberszpil, José Abdalla Helayël-Neto
In the present contribution, we study the Landau-Lifshitz-Gilbert equation with two versions of structural derivatives recently proposed: the scale derivative in the non-extens…
Axiomatic Local Metric Derivatives for Low-Level Fractionality with Mittag-Leffler Eigenfunctions
J. Weberszpil, J. A. Helayël-Neto
In this contribution, we build up an axiomatic local metric derivative that exhibits the Mittag-Leffler as an eigenfunction and is valid for low-level fractionality, whenever the o…
Variational Approach and Deformed Derivatives
José Weberszpil, José Abdalla Helayël-Neto
Recently, we have demonstrated that there exists a possible relationship between q-deformed algebras in two different contexts of Statistical Mechanics, namely, the Tsallis' framew…
On a connection between a class of q-deformed algebras and the Hausdorff derivative in a medium with fractal metric
J. Weberszpil, Matheus Jatkoske Lazo, J. A. Helayël-Neto
Over the recent decades, diverse formalisms have emerged that are adopted to approach complex systems. Amongst those, we may quote the q-calculus in Tsallis' version of Non-Extensi…
On the Zitterbewegung Transient Regime in a Coarse-Grained Space-Time
José Weberszpil, José Abdalla Helayël-Neto
In the present contribution, by studying a fractional version of Dirac's equation for the electron, we show that the phenomenon of Zitterbewegung in a coarse-grained medium exhibit…
Validity of the fractional Leibniz rule on a coarse-grained medium yields a modified fractional chain rule
José Weberszpil
In this short communication, we show that the validity of the Leibniz rule for a fractional derivative on a coarse-grained medium brings about a modified chain rule, in agreement w…
Anomalous g-Factors for Charged Leptons in a Fractional Coarse-Grained Approach
J. Weberszpil, J. Abdalla Helayël-Neto
In this work, we investigate aspects of the electron, muon and tau gyromagnetic ratios (g-factor) in a fractional coarse-grained scenario, by adopting a Modified Riemann-Liouville…
Fractional Canonical Quantization: a Parallel with Noncommutativity
Cresus F. L. Godinho, Jose Weberszpil, J. A. Helayël Neto
Adopting a particular approach to fractional calculus, this paper sets out to build up a consistent extension of the Faddeev-Jackiw (or Symplectic) algorithm to carry out the quant…
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…
Aspects of the Coarse-Grained-Based Approach to a Low-Relativistic Fractional Schrödinger Equation
J. Weberszpil, C. F. L. Godinho, A. Cherman +1
The main goal of this paper is to set up the coarse-grained formulation of a fractional Schrödinger equation that incorporates a higher (spatial) derivative term which accounts for…
Extending the D'Alembert Solution to Space-Time Modified Riemann-Liouville Fractional Wave Equations
Cresus F. L. Godinho, J. Weberszpil, J. A. Helayël-Neto
In the realm of complexity, it is argued that adequate modeling of TeV-physics demands an approach based on fractal operators and fractional calculus (FC). Non-local theories and m…