Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Fractional Calculus and Applied Analysis, Vol. 7, No 4, (2004), 403p-407p
Abstract:
The generalization of the concept of derivative to non-integer values goes
back to the beginning of the theory of differential calculus. Nevertheless, its
application in physics and engineering remained unexplored up to the last
two decades. Recent research motivated the establishment of strategies taking advantage of the Fractional Calculus (FC) in the modeling and control
of many phenomena. In fact, many classical engineering applications deserve a closer attention and a new analysis in the viewpoint of FC. Bearing
these ideas in mind, this work addresses the partial differential equations
that model the electrical transmission lines. The distributed characteristics
of this system may lead to design techniques, for integrated circuits, capable
of implementing directly fractional-order impedances and, therefore, constitutes an alternative to exploring fractal geometries and dielectric properties.
