TY - JOUR
T1 - Differential electromagnetic equations in fractional space
AU - Zubair, M.
AU - Mughal, M. J.
AU - Naqvi, Q. A.
AU - Rizvi, A. A.
N1 - Generated from Scopus record by KAUST IRTS on 2023-09-20
PY - 2011/1/1
Y1 - 2011/1/1
N2 - The present study deals with a novel approach for fractional space generalization of the differential electromagnetic equations. These equations can describe the behavior of electric and magnetic fields in any fractal media. A new form of vector differential operator Del, and its related differential operators, is formulated in fractional space. Using these modified vector differential operators, the classical Maxwell equations have been worked out for fractal media. The Laplace, Poisson and Helmholtz equations in fractional space are derived by using modified vector differential operators. Also a new fractional space generalization of the potentials for static and time varying fields is presented.
AB - The present study deals with a novel approach for fractional space generalization of the differential electromagnetic equations. These equations can describe the behavior of electric and magnetic fields in any fractal media. A new form of vector differential operator Del, and its related differential operators, is formulated in fractional space. Using these modified vector differential operators, the classical Maxwell equations have been worked out for fractal media. The Laplace, Poisson and Helmholtz equations in fractional space are derived by using modified vector differential operators. Also a new fractional space generalization of the potentials for static and time varying fields is presented.
UR - http://www.jpier.org/PIER/pier.php?paper=11011403
UR - http://www.scopus.com/inward/record.url?scp=79953062944&partnerID=8YFLogxK
U2 - 10.2528/PIER11011403
DO - 10.2528/PIER11011403
M3 - Article
SN - 1559-8985
VL - 114
SP - 255
EP - 269
JO - Progress in Electromagnetics Research
JF - Progress in Electromagnetics Research
ER -