Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1234

 Title: Suggestion from the Past? Authors: Machado, J.Jesus, Isabel Keywords: Fractional CalculusPartial Differential EquationsTransmission LinesImpedance26A3335A2278A2593A30 Issue Date: 2004 Publisher: 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. Description: Mathematics Subject Classification: 26A33 (main), 35A22, 78A25, 93A30 URI: http://hdl.handle.net/10525/1234 ISSN: 1311-0454 Appears in Collections: 2004

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