Axiomatic Local Metric Derivatives for Low-Level Fractionality with Mittag-Leffler Eigenfunctions
Journal Title: JOURNAL OF ADVANCES IN PHYSICS - Year 2017, Vol 13, Issue 3
Abstract
In this contribution, we build up an axiomatic local metric derivative that exhibits Mittag-Leffler function as an eigenfunction and is valid for low-level fractionality, whenever the order parameter is close to 1. This version of deformed (or metric) derivative may be a possible alternative to the versions worked out by Jumarie and the so-called local fractional derivative also based on Jumaries approach. With rules similar to the classical ones, but with a systematic axiomatic basis in the limit pointed out here, we present our results and some comments on the limits of validity for the controversial formalism found in the literature of the area.
Authors and Affiliations
J. Weberszpil, J. A. Helayel-Neto
Keywords
Related Articles
- EP ID EP653354
- DOI 10.24297/jap.v13i3.5943
- Views 69
- Downloads 0
The Mularz Paradox—Relativistic Discrepancies in The Resistivity of Cylindrical Electrical Conductors Travelling at Near Light-Speed—A Thought Experiment
Most of us are familiar with Einstein’s now-famous relativistic thought experiments—his stationary-versus-moving ‘light clock’ and the interstellar twin astronauts aging at different rates especially stand out.[1] ...
Structural and Magnetic Hysteresis Properties of Co-Zr Substituted Hexagonal Barium Ferrites
Co-Zr substituted M-type hexagonal barium ferrites, with chemical formula BaCoxZrxFe12-2xO19 (where x = 0.0, 0.2, 0.4, 0.6, 0.8 and 1.0), have been synthesized by double sintering ceramic method. The crystallographic pro...
Natural Radioactivity Measurement in Soil Samples From The New Kufa University Location, Iraq
Al-Najaf Al-Ashraf city on of the most important cities in Iraqi country it was chosen as the cultural Islamic capital for 2012 by the Islamic world ,Kufa university will be played big role of liability, cultural and edu...
Synthesis, Characterization and Phase Transition Studies on Some N-(4-Butyloxy Benzylidene)-4-Alkoxy Anilines, 4O.Om Compounds - A Dilatometric Study
Dilatometric studies are carried out on the synthesized N-(4-butyloxy benzylidene)-4-alkoxy anilines, 4O.Om compounds with the m = 3 to 7 and 9. Characterization of these compounds is done using the polarizing microscope...
A Trial to Predict the Diurnal Global Solar Irradiance Received On A Horizontal Plane for Clear Days in Terms of The Solar Angles.
A general distribution function is suggested to predict both symmetrical and asymmetric diurnal global solar irradiance q (t) W/m2 received on a horizontal surface, where “t” is the local day time "h" .The distribution i...