An expression for the voltage response of a current‐excited fractance device based on fractional‐order trigonometric identities |
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| Authors: | A. G. Radwan A. S. Elwakil |
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| Affiliation: | 1. Department of Mathematical Engineering, Cairo University, Egypt;2. Department of Electrical and Computer Engineering, University of Sharjah, P. O. 27272, Emirates |
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| Abstract: | We report a closed‐form expression of the voltage response of a current‐excited fractance device. The derived simple expression is made possible following the introduction of the generalized sine and cosine functions (rmsinα(t) and cosα(t)), which are valid on any fractional‐order surface and tend to the normal sin(t) and cos(t) at α = 1 or asymptotically as t→∞. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | fractional‐order systems elementary circuits circuit theory fractional calculus |
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