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 (rmsin ?(t) and cos ?(t)), which are valid on any fractional-order surface and tend to the normal sin(t) and cos(t) at ? = 1 or asymptotically as t??. © 2011 John Wiley & Sons, Ltd.
Radwan A.G., Elwakil A.S.
circuit theory; elementary circuits; fractional calculus; fractional-order systems
International Journal of Circuit Theory and Applications, Vol. 40, PP. 533 to 538, Doi: 10.1002/cta.760