Fractional calculus is a recent field of mathematical analysis and it is
a generalization of integer differential calculus, involving derivatives and
integrals of real or complex order. This PDF book covers the following topics
related to Fractional Calculus : Fractional calculus, The calculus of
variations, Expansion formulas for fractional derivatives, The fractional
calculus of variations.
Author(s): Ricardo Almeida, Dina Tavares, Delfim F. M.
Torres
This note covers the following topics:
Introduction To Fractional Calculus, Fractional Integral Equations, Fractional
Differential Equations and The Mittag-leffler Type Functions.
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.