"Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fracta…
"Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fracta…
"Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fracta…
This book outlines the theory, techniques and applications of fractional control. It covers fractional calculus with real, complex and variable orders, fractional transfer functions, fractional identification and pseudo-state-space representations. The control systems explored i…
This book outlines the theory, techniques and applications of fractional control. It covers fractional calculus with real, complex and variable orders, fractional transfer functions, fractional identification and pseudo-state-space representations. The control systems explored i…
Fractional calculus is undergoing rapid and ongoing development. We can already recognize that within its framework, new concepts and strategies emerge, which lead to new challenging insights and surprising correlations between different branches of physics. This book is an invi…
1. Introduction -- 2. Functions. 2.1. Gamma function. 2.2. Mittag-Leffler functions. 2.3. Hypergeometric functions. 2.4. Miscellaneous functions -- 3. The fractional derivative. 3.1. Basics. 3.2. The fractional Leibniz product rule. 3.3. Discussion -- 4. Friction forces. 4.1. Cl…
