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: Paperback / softback
Length: 134 pages
Publication date: 20 March 2023
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 possess the advantage of overcoming certain limitations. This book is primarily aimed at postgraduate students and researchers in the field, as well as individuals who are eager to acquire a fresh understanding of the subject.

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 offer unique perspectives for capturing fractional behaviors.

To illustrate the effectiveness of these modeling approaches, numerous applications on real-world data and devices are presented. These applications demonstrate the practical utility and efficiency of the proposed models in capturing fractional phenomena.

By offering a comprehensive and interdisciplinary approach, this book provides valuable insights into the analysis and modeling of fractional behaviors, which have applications in diverse fields such as physics, chemistry, biology, engineering, and finance. It serves as a valuable resource for scholars and practitioners seeking to advance their knowledge in this emerging area of research.

Weight: 232g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030967512
Edition number: 1st ed. 2022