The usage of Maxwell fractional equations for the investigation of the waveguide processes
By means of nabla operator written down with using both of some differential operators with integer orders and fractional differential Caputo operators, gradient, divergence and rotor operators are determined, it is checked up the fulfillment of vector relations in fractional vector analysis, fr...
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| Datum: | 2016 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2016
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| Schriftenreihe: | Вопросы атомной науки и техники |
| Schlagworte: | |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/115329 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The usage of Maxwell fractional equations for the investigation of the waveguide processes / M.V. Maksyuta, Yu.A. Slinchenko, V.I. Grygoruk // Вопросы атомной науки и техники. — 2016. — № 6. — С. 108-111. — Бібліогр.: 11 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | By means of nabla operator written down with using both of some differential operators with integer orders and
fractional differential Caputo operators, gradient, divergence and rotor operators are determined, it is checked up the
fulfillment of vector relations in fractional vector analysis, fractional Green’s, Stocks’ and Ostrogradsky-Gauss’
formulas. For a specific expression of nabla operator (nabla components along х and у axes have a unit order and
along z axis, correspondingly, a fractional value in the interval from zero till unit) Maxwell’s fractional equations are written down. Based on the following from them some fractional wave equations, dissipative and polarization processes at electromagnetic waves distribution both in rectangular (planar) and in cylindrical waveguide structures are analyzed. |
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