Computation and Modeling for Fractional Order Systems

15: Piecewise concept in fractional models

Rajarama Mohan Jena    Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India

Abstract

Many methodologies have been introduced in the last few decades to depict the behaviors of the complex problems arising in many areas of science and engineering. There are some complex models which show multi-step behaviors. In order to study such types of complex real-world multi-step behavior-showing models, a new concept of piecewise derivative and integration is introduced in this chapter. Firstly, some important properties of piecewise derivatives and integration are presented. Different scenarios of piecewise derivatives and integrals in local and global senses and their respective ...