The book investigates the fractional calculus-based approaches and their benefits to adopting in complex real-time areas. Another objective is to provide initial solutions for new areas where fractional theory has yet to verify the expertise. The book focuses on the latest scientific interest and illustrates the basic idea of general fractional calculus with MATLAB codes. This book is ideal for researchers working on fractional calculus theory both in simulation and hardware. Researchers from academia and industry working or starting research in applied fractional calculus methods will find the book most useful. The scope of this book covers most of the theoretical and practical studies on linear and nonlinear systems using fractional-order integro-differential operators.

Fractional Calculus for Multivariate Vector-Valued Function and Fractal Function.- Synchronization of Stochastic Fractional Chaotic Systems.- Fractional-order Comb Filter Design for Power-line Interference Removal.- Practical Realization of Fractional Order Notch Filter with Asymmetric Slopes and Optimized Quality Factor.- Fractional Order Modified IMC for Integrating Processes for Given Stability Margins and Increased Closed Loop Bandwidth.- Internal Model Control based Fractional Order Controller Design for Process Plants Satisfying Desired Gain Margin and Phase Margin.- Novel Hybrid Iterative Learning-Fractional Predicative PI Controller for Time-Delay Systems.- Design of Robust Model Predictive Controller for DC Motor Using Fractional Calculus.- Studying Fractional-order Controller Structures for Load Frequency Control of Interconnected Multiple Source Power Systems.- Hardware Implementation of the Fractional Controller on Quadrotor Aircraft.- Optimum Fractional-order PID for Active Suspension of Quarter Car Model Control.