Fractional electromagnetic field theory describes electromagnetic wave propagation through the complex, nonlocal, dissipative, fractal and also recent artificially engineered materials know as fractional metamaterials. In this theory using the fractional Maxwell equations we are also able to consider the well-known effect of electromagnetic memory. In this review we present some applications of the powerful theory of fractional electrodynamics.Comment: First version of the short lecture on "Fractional Electromagnetic Field Theory and Its Applications
AbstractThe electrostatics properties of composite materials with fractal geometry are studied in th...
The Fractional Calculus (FC) is a mathematical tool applied in scientific areas such as electricity...
Several phenomena present in electrical systems motivated the development of comprehensive models ba...
The Maxwell equations constitute a formalism for the development of models describing electromagneti...
Exploring the possible links between the mathematical field of fractional calculus and the electroma...
We have applied the concept of fractional derivatives/integrals in several specific electromagnetic ...
Fractional calculus is a fruitful field of research in science and engineering. The concept of fract...
This book presents the concept of fractional dimensional space applied to the use of electromagnetic...
The Maxwell equations play a fundamental role in the well established formulation of the electromagn...
AbstractIn this paper some basic definitions of fractional vector calculus are introduced. A fractio...
In this study we apply the concept of fractional calculus to electromagnetism and we develop a new f...
Some experimentation with magnets was beginning in the late 19th century. By then reliable batteries...
The use of fractional derivatives and integrals has been steadily increasing thanks to their ability...
Electric and magnetic fields of fractal distribution of charged particles are considered. The fracti...
Adapting the \(\Lambda\)-fractional derivative, in fact the unique fractional derivative correspondi...
AbstractThe electrostatics properties of composite materials with fractal geometry are studied in th...
The Fractional Calculus (FC) is a mathematical tool applied in scientific areas such as electricity...
Several phenomena present in electrical systems motivated the development of comprehensive models ba...
The Maxwell equations constitute a formalism for the development of models describing electromagneti...
Exploring the possible links between the mathematical field of fractional calculus and the electroma...
We have applied the concept of fractional derivatives/integrals in several specific electromagnetic ...
Fractional calculus is a fruitful field of research in science and engineering. The concept of fract...
This book presents the concept of fractional dimensional space applied to the use of electromagnetic...
The Maxwell equations play a fundamental role in the well established formulation of the electromagn...
AbstractIn this paper some basic definitions of fractional vector calculus are introduced. A fractio...
In this study we apply the concept of fractional calculus to electromagnetism and we develop a new f...
Some experimentation with magnets was beginning in the late 19th century. By then reliable batteries...
The use of fractional derivatives and integrals has been steadily increasing thanks to their ability...
Electric and magnetic fields of fractal distribution of charged particles are considered. The fracti...
Adapting the \(\Lambda\)-fractional derivative, in fact the unique fractional derivative correspondi...
AbstractThe electrostatics properties of composite materials with fractal geometry are studied in th...
The Fractional Calculus (FC) is a mathematical tool applied in scientific areas such as electricity...
Several phenomena present in electrical systems motivated the development of comprehensive models ba...