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/
- Modified Riemann-Liouville Derivative; variational principle for fractional differential equations; E-infinity theory; golden mean quantum mechanics.
Available at: http://works.bepress.com/ji_huan_he/50/