Fractional Calculus

Authors: Goodrich, Christopher, Peterson, Allan C.
May be used for courses at the upper undergraduate level and above; the field is promoted by specialists
Flexibility in its use, the text covers all aspects of discrete functional calculus
Contains good examples, suitable problems, and comprehensive coverage of the topic

In the last three decades, fractional calculus has broken into the field of mathematical analysis, both at the theoretical level and at the level of its applications. In essence, the fractional calculus theory is a mathematical analysis tool applied to the study of integrals and derivatives of arbitrary order, which unifies and generalizes the classical notions of differentiation and integration. These fractional and derivative integrals, which until not many years ago had been used in purely mathematical contexts, have been revealed as instruments with great potential to model problems in various scientific fields, such as: fluid mechanics, viscoelasticity, physics, biology, chemistry, dynamical systems, signal processing or entropy theory.