Fractional Calculus And Fractional Differential Equations: Applications To Epidemiological Modeling, Engineering Control Systems, Physical-financial Processes And Physiological Systems

Fractional Calculus and Fractional Differential Equations: Applications to Epidemiological Modeling, Engineering Control Systems, Physical-Financial Processes and Physiological Systems presents a contemporary and applicable compilation of some latest developments in the area of fractional equations to strike a balance between modern operator calculus, fractional analysis and fractional Brownian motion. It is oriented toward combining theoretical and computational elements, including numerical schemes such as collocation, wavelet methods as well as transform approaches. To-the-point specifications of advanced mathematical models with computational breakthroughs and data-driven schemes are provided through robust numerical frameworks such as collocation methods, wavelet approximations, prediction, control, optimization and transform-based techniques, complete with rigorous stability and error analysis. Furthermore, the application components explain the reasons why the study of fractional dynamics is able to take into account the memory, heredity and non-local effects. The recent advances and challenges elucidated in the fields of biology, epidemiology, physics, engineering and finance presented within the book demonstrate the impact and applicability of fractional calculus and fractional differential equations. Overall, the feature of equipping readers with the knowledge to tackle the pertinent pressing challenges through mathematical models can make it a reference for both academic and professional development.