Fractional electromagnetics

• Type: Chapter or Part of a Book
• Date: 2019

Authors

J. A. Tenreiro Machado (Author) Other; António Mendes Lopes (Author) FEUP

Book

Title: Applications in Physics, Part B

Pages: 1-23

ISBN: 9783110571721

Electronic ISBN: 9783110570892

Indexing

Scopus - 2 Citations

Other information

Authenticus ID: P-010-A5F

DOI: 10.1515/9783110571721-001

Abstract (EN): This chapter addresses the application of fractional calculus (FC) in the area of electromagnetics, and studies four cases, namely the modeling of the electric potential generated by arbitrary charges, electric transmission lines, the skin effect in an electric conductor, and the behavior of a nonlinear electric inductor. The first generalizes the concept of integer to fractional electrostatic multipoles. The second interprets the telegraph equation in the light of FC. The third generalizes the skin effect to inductive effects of any fractional order. The fourth, focuses the modeling of inductors, including phenomena usually overlooked with classical approaches.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 22