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Article
Fractional Calculus of Variations in Fractal Spacetime
Nonlinear Science Letters A (2010)
  • Guo-Cheng Wu, Donghua University
  • Ji-Huan He, Donghua University
Abstract

A physical law in continuous space-time is, in general, expressible by a variational principle. Physical phenomena in a fractal spacetime, however, are describable by the fractional calculus. The natural question then arises: does a system of fractional differential equations admit a variational principle? This paper asserts that fractional variational principles can be established using Jumarie’s modified Riemann-Liouville derivative, which reveals fractional actions in a fractal spacetime. See: http://www.nonlinearscience.com/

Keywords
  • Modified Riemann-Liouville Derivative; variational principle for fractional differential equations; E-infinity theory; golden mean quantum mechanics.
Publication Date
2010
Citation Information
Guo-Cheng Wu and Ji-Huan He. "Fractional Calculus of Variations in Fractal Spacetime" Nonlinear Science Letters A Vol. 1 Iss. 3 (2010)
Available at: http://works.bepress.com/ji_huan_he/50/