Abstract
In this chapter a novel generalization of differential electromagnetic equations in fractional space is provided. Firstly, basic vector differential operators are generalized in fractional space and then using these fractional operators Maxwell’s, Laplace’s, Poisson’s and Helmholtz’s equations have been worked out in fractional space. The differential electromagnetic equations in fractional space, established in this chapter, provide a basis for application of the concept of fractional space in practical electromagnetic wave propagation and scattering problems in fractal media.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
F.H. Stillinger, Axiomatic basis for spaces with noninteger dimension. J. Math. Phys. 18(6), 1224–1234 (1977)
C. Palmer, P.N. Stavrinou, Equations of motion in a noninteger-dimension space. J Phys A 37, 6987–7003 (2004)
M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables. (Department of Commerce, U.S., 1972)
C.A. Balanis, Advanced Engineering Electromagnetics. (Wiley, New York, 1989)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 The Author(s)
About this chapter
Cite this chapter
Zubair, M., Mughal, M.J., Naqvi, Q.A. (2012). Differential Electromagnetic Equations in Fractional Space. In: Electromagnetic Fields and Waves in Fractional Dimensional Space. SpringerBriefs in Applied Sciences and Technology(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25358-4_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-25358-4_2
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25357-7
Online ISBN: 978-3-642-25358-4
eBook Packages: EngineeringEngineering (R0)