An introduction to the fractional calculus and fractional differential equations

Commences with the historical development of fractional calculus, its mathematical theory—particularly the Riemann-Liouville version. Numerous examples and theoretical applications of the theory are presented. Features topics associated with fractional differential equations. Discusses Weyl fractional calculus and some of its uses. Includes selected physical problems which lead to fractional differential or integral equations. This study aims to make the solution of certain integral equations simpler to visualize. It presents material in a methodical manner and includes a bibliography covering references on the development of the subject from 1695 to modern times.