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FIZIKA A 19 (2010) 2 , 55-72
 
HIGHER-ORDER FRACTIONAL FIELD EQUATIONS IN (0+1) DIMENSIONS AND PHYSICS BEYOND THE STANDARD MODEL
RAMI AHMAD EL-NABULSI
Department of Nuclear and Energy Engineering, Cheju National University,
Ara-dong 1, Jeju 690-756, South Korea E-mail address:
[email protected]
Received 22 June 2008; Revised manuscript received 29 November 2009
Accepted 17 March 2010 Online 12 July 2010
I discuss the Lagrangian procedure for the treatment of higher-order fractional
field equations in (0+1) dimensions based on the fractional action-like
variational problems with higher-order derivatives. We explore the case in which
the derivatives appear only in the invariant d'Alembertian operator. Some
interesting consequences are revealed.
PACS numbers: 45.10.Hj, 45.20.Jj
UDC 531.314, 532.511
Keywords: fractional action-like variational approach, higher-order derivatives,
field theory in (0+1)-dimensions, massless particles, tachyons
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