Abstract
In [1, 2] the fractional Lagrangian method was used to obtain analogs of the Klein–Gordon equation for fractional derivatives. In the present work this equation is obtained by the simple method of quantization of the energy invariant. Next, the standard path of factorization of the fractional Klein–Gordon equation is used to derive an analog of the Dirac equation in fractional derivatives. This equation can be useful in studies of the relativistic motion of an electron in fractal media [3]. Theoretical physics models with integrodifferentiation of fractional order were also considered in [4]. If we replace the energy and components of the momentum by fractional powers of the differentiation operators [5]
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
