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This book presents the concept of fractional dimensional space applied to the use of electromagnetic fields and waves. It provides demonstrates the advantages in studying the behavior of electromagnetic fields and waves in fractal media.
The book presents novel fractional space generalization of the differential electromagnetic equations is provided as well as a new form of vector differential operators is formulated in fractional space. Using these modified vector differential operators, the classical Maxwell's electromagnetic equations are worked out. The Laplace's, Poisson's and Helmholtz's equations in fractional space are derived by using modified vector differential operators.
The book presents novel fractional space generalization of the differential electromagnetic equations is provided as well as a new form of vector differential operators is formulated in fractional space. Using these modified vector differential operators, the classical Maxwell's electromagnetic equations are worked out. The Laplace's, Poisson's and Helmholtz's equations in fractional space are derived by using modified vector differential operators.
From the reviews:
"In this 70 pages long book the authors present, based on their own publications, a theoretical investigation of classical electromagnetics in the fractional dimensional space. ... The monograph consists of 5 chapters which are divided into sections and subsections and are followed by a short summary and a list of references. ... The book is recommended to graduate and advanced students as well as professionals in electromagnetics." (Georg Hebermehl, Zentralblatt MATH, Vol. 1244, 2012)
"In this 70 pages long book the authors present, based on their own publications, a theoretical investigation of classical electromagnetics in the fractional dimensional space. ... The monograph consists of 5 chapters which are divided into sections and subsections and are followed by a short summary and a list of references. ... The book is recommended to graduate and advanced students as well as professionals in electromagnetics." (Georg Hebermehl, Zentralblatt MATH, Vol. 1244, 2012)