Výsledky vyhledávání - "Weberszpil, J."

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Extension and Applications of a Variational Approach with Deformed Derivatives

Autor: Weberszpil, J., Helayël-Neto, J. A.

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 Lagrangian density of field-theoretic models. Classical Euler-Lagrange

Externí odkaz: http://arxiv.org/abs/1706.09504

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Axiomatic Local Metric Derivatives for Low-Level Fractionality with Mittag-Leffler Eigenfunctions

Autor: Weberszpil, J., Helayël-Neto, J. A.

Publikováno v: Journal of Advances in Physics, [S.l.], v. 13, n. 3, p. 4751-4755, mar. 2017

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 order parameter is close to $1$. This version of deformed or metric der

Externí odkaz: http://arxiv.org/abs/1605.08097

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On a connection between a class of q-deformed algebras and the Hausdorff derivative in a medium with fractal metric

Autor: Weberszpil, J., Lazo, Matheus Jatkoske, Helayël-Neto, J. A.

Publikováno v: Physica A 436 (2015) 399-404

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-Extensive Statistics with its undeniable success whenever applied to a wide c

Externí odkaz: http://arxiv.org/abs/1502.07606

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Anomalous g-Factors for Charged Leptons in a Fractional Coarse-Grained Approach

Autor: Weberszpil, J., Helayël-Neto, J. Abdalla

Publikováno v: Advances in High Energy Physics Volume 2014 (2014), Article ID 572180

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 (MRL) fractional calculus. We point out the possibility of mapping the

Externí odkaz: http://arxiv.org/abs/1306.5314

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Aspects of the Coarse-Grained-Based Approach to a Low-Relativistic Fractional Schr\'odinger Equation

Autor: Weberszpil, J., Godinho, C. F. L., Cherman, A., Helayël-Neto, J. A.

Publikováno v: In: 7th Conference Mathematical Methods in Physics - ICMP 2012, Rio de Janeiro. Proceedings of Science (PoS). Trieste, Italia: SISSA p. 1-19 (2012)

The main goal of this paper is to set up the coarse-grained formulation of a fractional Schr\"odinger equation that incorporates a higher (spatial) derivative term which accounts for relativistic effects at a lowest order. The corresponding continuit

Externí odkaz: http://arxiv.org/abs/1206.2513

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Extending the D'Alembert Solution to Space-Time Modified Riemann-Liouville Fractional Wave Equations

Autor: Godinho, Cresus F. L., Weberszpil, J., Helayël-Neto, J. A.

Publikováno v: Chaos, Solitons & Fractals 45 (2012) 765-771

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 memory effects are connected to complexity and the FC. The non-differen

Externí odkaz: http://arxiv.org/abs/1111.6266

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