Fractional Calculus with Python (Golden Dawn Engineering)

Discover the fascinating world of Fractional Calculus with this comprehensive guide. Dive into the depths of this advanced mathematical field as you explore key concepts, methods, and applications.Key Features:- An in-depth exploration of Fractional Calculus and its applications- Coverage of various fractional derivatives and their properties- Techniques for solving fractional differential equations and systems- Mathematical models and their implications in different fields- Implementation of fractional control systems and filtersBook Description:Fractional Calculus is a branch of mathematics that deals with derivatives and integrals of non-integer orders. This groundbreaking field has gained significant attention in recent years due to its wide range of applications in engineering, physics, finance, and more. Whether you are a mathematician, scientist, or engineer, this book serves as your ultimate guide to understanding and utilizing fractional calculus.Starting with the basics, you will learn about the fundamental differences between integer calculus and fractional calculus. Through clear explanations and examples, you will explore the Riemann-Liouville, Caputo, and Grünwald-Letnikov fractional derivatives and integrals, understanding their formal definitions and unique properties. You will delve into important topics such as the Fractional Laplacian, Mittag-Leffler function, Fractional Fourier Transform, Fractional Z-Transform, and much more.With a focus on practical applications, this book provides you with the tools to solve fractional differential equations using various numerical methods, including the Adomian Decomposition Method, Homotopy Perturbation Method, and Laplace Transform Method. You will discover how fractional calculus can be applied to areas such as control systems, signal processing, viscoelasticity, electromagnetic theory, and bioengineering.Who This Book Is For:This book is perfect for mathematicians, scientists, engineers, and researchers who are interested in exploring the field of Fractional Calculus. It is also suitable for advanced undergraduate and graduate students studying calculus or related fields who want to broaden their knowledge and discover the potential applications of fractional calculus. No prior knowledge of fractional calculus is required, as the book covers the basics before delving into more advanced topics. Open your mind to the captivating world of Fractional Calculus today! Read more