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Fractional solutions of Helmholtz equation in scattering problems

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3 Author(s)
Ahmedov, T.M. ; IMM NAS of Azerbaijan, Baku, Azerbaijan ; Ivakhnychenko, M.V. ; Veliev, E.I.

In this paper we introduce a new definition for fractional derivatives of function ψ(r~) which satisfies the homogeneous Helmholtz equation. It is shown, that we have come to such a presentation after consideration of "fractional" solutions of ordinary Helmholtz equation. Also "fractional boundary conditions" are introduced.

Published in:

Physics and Engineering of Microwaves, Millimeter, and Submillimeter Waves, 2004. MSMW 04. The Fifth International Kharkov Symposium on  (Volume:2 )

Date of Conference:

21-26 June 2004