Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations

Faculty Science Year: 2009
Type of Publication: Article Pages: 385-391
Authors:
Herzallah, Mohamed A. E, Baleanu, Dumitru
DOI: 10.1007/s11071-009-9486-z
Journal: NONLINEAR DYNAMICS SPRINGER Volume: 58
Research Area: Engineering; Mechanics ISSN ISI:000269885100027
Keywords : Fractional integral, Fractional derivative, Fractional calculus of variations, Fractional Hamiltonian equations    
Abstract:
This paper presents the fractional order Euler-Lagrange equations and the transversality conditions for fractional variational problems with fractional integral and fractional derivatives defined in the sense of Caputo and Riemann-Liouville. A fractional Hamiltonian formulation was developed and some illustrative examples were treated in detail.
    
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