50 citations · 168 across the 16 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…
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…