Fractional integrals and derivatives on an interval; fractional integrals and derivatives on the real axis and half-axis; further properties of fractional integrals and derivatives; other forms of fractional integrals and derivatives; fractional integrodifferentiation of functions of many variables; applications to integral equations of the first kind with power and power-logarithmic kernels; integral equations fo the first kind with special function kernels; applications to differential equations.

In San Francisco, a fisherman's get-rich-quick scheme ends in violence. As sharks fetch high prices, he hires a professional shark hunter to go fishing, the deal being he gets the first three tons, the hunter the rest. But as the hunter's share piles up, jealousy rears its head. A systematic and comprehensive exposition of classical and modern results in the theory of fractional integrals and their applications. Various aspects of this theory, such as functions of one and several variables and periodical and non-periodical cases, are studied.

College of Arts and Sciences