Fractional Behaviours Modelling: Analysis and Application of Several Unusual Tools

This book is dedicated to analyzing and modeling fractional behaviors resulting from physical stochastic phenomena in constrained environments, using unusual models to overcome limitations. It is for postgraduated students and researchers, demonstrating the interest of four other modeling tools: new kernels, Volterra equations, nonlinear models, and partial differential equations with spatially variable coefficients.

Format: Hardback
Length: 134 pages
Publication date: 19 March 2022
Publisher: Springer Nature Switzerland AG

This book is a comprehensive exploration of fractional behaviors, which arise from the physical stochastic phenomena of a population in a constrained environment. It departs from traditional approaches based on fractional models by introducing unconventional models that offer advantages in overcoming certain limitations. This book is designed to cater to advanced students and researchers in the field, as well as individuals who are eager to acquire a fresh understanding of the topic.

After providing a thorough review of fractional models and their inherent limitations, the book proposes and showcases the significance of four alternative modeling tools: new kernels in integral operators, Volterra equations, nonlinear models, and partial differential equations with spatially variable coefficients. These tools are employed to capture fractional behaviors with remarkable precision.

To illustrate the practical applications of these modeling techniques, numerous real-world data and device examples are presented. These examples demonstrate the efficiency and effectiveness of the proposed methods in capturing fractional behaviors, offering valuable insights into a wide range of scientific and engineering disciplines.

By presenting a comprehensive and interdisciplinary approach, this book serves as a valuable resource for scholars and practitioners seeking to advance their knowledge in the field of fractional behaviors. It provides a solid foundation for further research and development in this rapidly evolving area.

Weight: 389g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030967482
Edition number: 1st ed. 2022