Fractional Wkb Approximation
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Green Open Access
Yes
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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.
Description
Keywords
Fractional Derivative, Fractional Wkb Approximation, Hamilton'S Principle Function, High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics, Fractional derivatives and integrals, fractional WKB approximation, fractional derivative, Hamilton's principle function, Hamilton-Jacobi equations in mechanics
Fields of Science
0103 physical sciences, 01 natural sciences
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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OpenCitations Citation Count
18
Source
Volume
57
Issue
1-2
Start Page
171
End Page
175
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CrossRef : 8
Scopus : 26
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Mendeley Readers : 9
SCOPUS™ Citations
26
checked on May 29, 2026
Web of Science™ Citations
18
checked on May 29, 2026
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3
checked on May 29, 2026
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