This proposal deals with a computational and theoretical work. It is framed in Fractional Calculus, an emergent topic of Applied Mathematics, focusing applications in Physics and Electrical Engineering. The goal of this research project is to deepen the study of fractional-order Maxwell's equations, verify their consistency and investigate both stationary electromagnetic phenomena and wave propagation. The activities will start with studies on standard vector analysis and Maxwell's equations study, and will continue with an investigation of the fractional versions of Green's, Stokes's and Gauss's theorems. At its most important phase, the research will deal with the fracional order Maxwell's equations, to solve Poisson's equation and wave equation in rectangular and circular domains.The undergraduate applicant studies electrical engineering at UNESP, Bauru, has excelent mathematical and computational knowledge as well as great vocation to perform scientific research. By developing this project, the applicant will acquire scientific work skills and further knowledge about Calculus, Differential Equations, Integral Transforms, Numerical Analysis, Computational Programming and Electromagnetism.
News published in Agência FAPESP Newsletter about the scholarship: