Fractional WKB approximation
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Date
2009
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Publisher
Springer
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Abstract
Wentzel-Kramer-Brillouin (WKB) approximation for fractional systems is investigated in this paper using the fractional calculus. In the fractional case, the wave function is constructed such that the phase factor is the same as the Hamilton's principle function S. To demonstrate our proposed approach, two examples are investigated in detail
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Keywords
Fractional Derivatives, Fractional WKB Approximation, Hamilton's Principle Function
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Citation
Rabei, E.M...et al. (2009). Fractional WKB approximation. Nonlinear Dynamics, 57(1-2), 171-175. http://dx.doi.org/10.1007/s11071-008-9430-7
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Source
Nonlinear Dynamics
Volume
57
Issue
1-2
Start Page
171
End Page
175