Applications of Fractional Calculus to Newtonian Mechanics

Applications of Fractional Calculus to Newtonian Mechanics is a pioneering work that bridges the gap between classical mechanics and modern mathematical techniques. This book serves as both an introduction and a comprehensive guide to the subject, making it accessible to those new to the field while providing in-depth discussions that can enrich the understanding of experienced researchers. The text systematically develops the theoretical foundations of fractional calculus, and then demonstrates its utility through a series of applications to Newtonian mechanics. By illustrating how fractional derivatives can be effectively used to describe phenomena such as viscoelastic damping, non-local interactions, and anomalous diffusion, the book reveals a promising horizon for further research and practical applications. Undergraduate and graduate students in applied mathematics, physics, and engineering will find the clear explanations and step-by-step derivations invaluable for grasping the complex ideas behind fractional calculus. Meanwhile, researchers and professionals engaged in modeling and simulation will appreciate the advanced methodologies and practical examples that illustrate the power of these mathematical techniques in solving real-world problems. The book's approachable style and comprehensive coverage make it a must-read for anyone interested in expanding the traditional boundaries of Newtonian mechanics through the innovative application of fractional calculus.