Ivakhnychenko M. Fractional operators in problems of excitation and diffraction of electromagnetic waves

Electromagnetic fields are under consideration. The aim is the development of methods of fractional operators to solve boundary problems. Methods of mathematical physics are the methods of investigation. Mathematical models of currents and fields have been constructed with the usage of fractional curl operator in reflection problems. Problem of diffraction on a strip with fractional boundary conditions has been solved. The analytical equation to determine a fractional order from impedance value has been evaluated. Resonances for monostatic radar section for the strip with fractional boundary conditions with order 1/2 for big values of wavelength have been found. A scope of usage - theoretical and applied radiophysics.