Advanced Applications of Fractional Differential Operators to Science and Technology (Advances in Computer and Electrical Engineering)

Fractional-order calculus dates to the 19th century but has been resurrected as a prevalent research subject due to its provision of more adequate and realistic descriptions of physical aspects within the science and engineering fields. What was once a classical form of mathematics is currently being reintroduced as a new modeling technique that engineers and scientists are finding modern uses for. There is a need for research on all facets of these fractional-order systems and studies of its potential applications. Advanced Applications of Fractional Differential Operators to Science and Technology provides emerging research exploring the theoretical and practical aspects of novel fractional modeling and related dynamical behaviors as well as its applications within the fields of physical sciences and engineering. Featuring coverage on a broad range of topics such as chaotic dynamics, ecological models, and bifurcation control, this book is ideally designed for engineering professionals, mathematicians, physicists, analysts, researchers, educators, and students seeking current research on fractional calculus and other applied mathematical modeling techniques. Title Page Copyright Page Book Series Dedication Editorial Advisory Board Table of Contents Detailed Table of Contents Foreword Preface Section 1: Fractional-Order Calculus in Biological Models Chapter 1: Fractional-Order Calculus in Antimicrobial Resistance and Waning Vaccination Chapter 2: Bifurcation and Chaos in a Discrete Fractional-Order Prey-Predator System Involving Allee Effect Chapter 3: Application of Fractional Optimal Control Problems on Some Mathematical Bioscience Section 2: Chaotic Dynamics of Fractional-Order Systems Chapter 4: Dynamics of Some Discretized Fractional-Order Differential Equations Chapter 5: On the Influence of Fractional Derivative on Chaos Control of a New Fractional-Order Hyperchaotic System Chapter 6: Synchronization of Fractional-Order Hyperchaotic Finance Systems Using Sliding Mode Control Techniques Section 3: Applications of Fractional Derivatives to Physics Chapter 7: Generalized Brinkman Type Dusty Fluid Model for Blood Flow Chapter 8: Revisiting Anomalous g-Factors for Charged Leptons in a Fractional Coarse-Grained Approach With Axiomatic Local Metric Derivatives Chapter 9: Properties of Spatial-Rotation Transformations of Fractional Derivatives Chapter 10: On the Approximate Solution of Caputo-Riesz-Feller Fractional Diffusion Equation Section 4: New Trends in Applied Mathematics Chapter 11: Generalized Fractional Ostrowski's Type Inequalities Involving Riemann-Liouville Fractional Integration Chapter 12: The Invariant Subspace Method for Solving Fractional Partial Differential Equations Chapter 13: Apparent Measure, Integral of Real Order, and Relative Dimension Section 5: Applications of Fractional Calculus to Engineering Chapter 14: Fractional-Order-Based Inferential Control Chapter 15: On the Application of Fractional Derivatives to the Study of Memristor Dynamics Compilation of References About the Contributors Index Presents research exploring the theoretical and practical aspects of novel fractional modeling and related dynamical behaviours as well as its applications within the fields of physical sciences and engineering. "This book examines fractional calculus and its application in science, engineering, and technology"-- Provided by publisher