The effect of deformation of special relativity by conformable derivative
Date
2022
Authors
Al-Jamel, Ahmed
Al-Masaeed, Mohamed
Rabei, Eqab. M.
Baleanu, Dumitru
Journal Title
Journal ISSN
Volume Title
Publisher
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
In this paper, the deformation of special relativity within the frame of conformable derivative is formulated. Within this context, the two postulates of the theory are re-stated. Then, the addition of velocity laws are derived and used to verify the constancy of the speed of light. The invariance principle of the laws of physics is demonstrated for some typical illustrative examples, namely, the conformable wave equation, the conformable Schrodinger equation, the conformable Klein-Gordon equation, and conformable Dirac equation. The current formalism may be applicable when using special relativity in a nonlinear or dispersive medium.
Description
Keywords
Conformable Derivative, Fractional Calculus, Special Relativity
Turkish CoHE Thesis Center URL
Fields of Science
Citation
Al-Jamel, Ahmed...et.al. (2022). "The effect of deformation of special relativity by conformable derivative", Revista Mexicana de Fisica, Vol.68, No.5, pp.1-9.
WoS Q
Scopus Q
Source
Revista Mexicana de Fisica
Volume
68
Issue
5
Start Page
1
End Page
9