Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
Fractional calculus applications in signals and systems
Signal Processing - Fractional calculus applications in signals and systems
Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering
New Trends in Nanotechnology and Fractional Calculus Applications
New Trends in Nanotechnology and Fractional Calculus Applications
Computers & Mathematics with Applications
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A generalized Hamiltonian structure of the fractional soliton equation hierarchy is presented by using differential forms and exterior derivatives of fractional orders. We construct the generalized fractional trace identity through the Riemann-Liouville fractional derivative. An example of the fractional KN soliton equation hierarchy and Hamiltonian structure is presented, which is a new integrable hierarchy and possesses Hamiltonian structure.