158 citations · 1.5k across the 106 of their papers we have counts for
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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…
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…
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…
An algebraic proof on the finiteness of Yang-Mills-Chern-Simons theory in D=3
O. M. Del Cima, D. H. T. Franco, J. A. Helayel-Neto +1
A rigorous algebraic proof of the full finiteness in all orders of perturbation theory is given for the Yang-Mills-Chern-Simons theory in a general three-dimensional Riemannian man…