Fractional Calculus :

Commences with the historical development of fractional calculus, its mathematical theory, with numerous examples and theoretical applications of the theory are presented. Features topics associated with fractional differential equations with application in science and engineering.

Meta-Materials :

Metamaterials are artificial materials engineered to have properties that may not be found in nature. They are assemblies of multiple individual elements fashioned from conventional microscopic materials such as metals or plastics, but the materials are usually arranged in repeating patterns. Metamaterials gain their properties not from their composition, but from their -designed structures. Their precise shape, geometry, size, orientation and arrangement can affect waves of light (electromagnetic radiation) in an unconventional manner, creating material properties which are unachievable with conventional materials. These metamaterials achieve desired effects by incorporating structural elements of sub-wavelength sizes, i.e. features that are actually smaller than the wavelength of the waves they affect.
Optical metamaterials are a type of electromagnetic metamaterial, which are designed to interact with optical frequencies which are terahertz (THz), infrared (IR), and eventually, visible wavelengths. As a type of metamaterial, the periodic structures are made up of single units called cells. These single units are much smaller than the wavelength of the radiated source. The periodic cells (meta-atoms) are fabricated on a scale that is magnitudes larger than the atom, yet smaller than the radiated wavelength.


Miscellaneous topics of lectures and deliberations