The first chapter explains definition of fractional
calculus. The second and third chapters, look at the Riemann-Liouville
definitions of the fractional integral and derivative. The fourth chapter looks
at some fractional differential equations with an emphasis on the Laplace
transform of the fractional integral and derivative. The last chapter describes
application problems—a mortgage problem and a decay-growth problem.
Author(s): Joseph M. Kimeu, Western
This lectures note introduces the linear
operators of fractional integration and fractional differentiation in the
framework of the Riemann-Liouville fractional calculus. Particular attention is
devoted to the technique of Laplace transforms for treating
these operators in a way accessible to applied scientists, avoiding unproductive
generalities and excessive mathematical rigor.
This note covers the following topics: The Weyl fractional integral and
the Mellin transform, Electrical circuits with fractance, Generalized voltage
divider, Fractional calculus in viscoelasticity, Fractional order multipoles in