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Iterative Learning Control for Equations with Fractional Derivatives and Impulses

This book introduces iterative learning control (ILC) and its applications to the new equations such as fractional order equations;

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Fractional Differential Equations

Starting with an introduction to fractional derivatives and numerical approximations, this book presents finite difference methods for;

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Fractional-Order Control Systems

fractional calculus and fractional-order control Mathematical prerequisites Definitions and computation algorithms of fractional-order derivatives;

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Fractional Differential Equations

instead of the word 'arbitrary'.This book is written for readers who are new to the fields of fractional derivatives and fractional-order;

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Implicit Fractional Differential and Integral Equations

This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and;

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Introduction to Fractional and Pseudo Differential Equations with Singular Symbo

and multi-point boundary value problems for pseudo-differential equations. Fractional Fokker-Planck-Kolmogorov equations associated with a;

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Fractional Calculus in Analysis, Dynamics & Optimal Control

differential equations and optimal control. The first chapter deals with the notion of local fractional derivatives and its applications to the study;

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Numerical Methods for Fractional Calculus

Numerical Methods for Fractional Calculus presents numerical methods for fractional integrals and fractional derivatives, finite difference;

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Numerical Methods for Fractional Calculus

Numerical Methods for Fractional Calculus presents numerical methods for fractional integrals and fractional derivatives, finite difference;

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Time Fractional Differential Equations

This book aims to establish a foundation for fractional derivatives and fractional differential equations. The theory of fractional;

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Fractional-Order Nonlinear Systems

be described using fractional derivatives and fractional differential equations, how such equations can be solved, and how to simulate and;

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Fractional Calculus: Theory and Applications

Ordered Dynamical Systems. Fractional Operators on Fractals. Local Fractional Derivatives. Fractional Control Systems Fractional Operators and;

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Fractional Operators with Constant and Variable Order with Application to Geo-hydrology

Fractional Operators with Constant and Variable Order with Application to Geo-hydrology provides a physical review of fractional;

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Fractional Partial Differential Equations And Their Numerical Solutions

knowledge on the fractional derivatives and fractional integrals, and enough background of the fractional PDEs.;

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Fractional Order Equations and Inclusions

asymptotic behavior of their solutions. Controllability and relaxed control results are obtained. Combining rigorous deduction with abundant examples;

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Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models

leading to the fractional-order linear and nonlinear control-oriented models. The book utilizes the mathematical tool of fractional calculus, the;

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Conformable Dynamic Equations on Time Scales

The concept of derivatives of non-integer order, known as fractional derivatives, first appeared in the letter between L'Hopital and;

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Conformable Dynamic Equations on Time Scales

The concept of derivatives of non-integer order, known as fractional derivatives, first appeared in the letter between L'Hopital and;

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Advanced Methods in the Fractional Calculus of Variations

in generalizing the least action principle and the Euler-Lagrange equations to include fractional derivatives. The dependence of Lagrangians on;

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Fractional Evolution Equations and Inclusions

evolution equations, and fractional evolution inclusions with Hille-Yosida operators. It discusses control problems for systems governed by;

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Fractional Order Analysis

: new fractional operators, fractional derivatives, fractional differential equations, inequalities for different fractional derivatives and;

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Mathematical Methods in Engineering

functional equations, optimization algorithm for traveling salesman problem, fractals, control, fractional calculus models, fractional discretization;

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Advanced Fractional Differential & Integral Equations

Fractional calculus deals with extensions of derivatives and integrals to non-integer orders. It represents a powerful tool in applied;

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Analysis, Modeling and Stability of Fractional Order Differential Systems 2

, formulation of analytical transients, fractional differentiation of functions, state observation and control, definition of fractional energy, and;

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Introduction To Fractional Control

Hinfinity control, fractional predictive control, and fractional time-varying control. Each chapter contains solved examples and references for;

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Fractional Diffusion Equations and Anomalous Diffusion

, chemistry and engineering. Including the basic mathematical tools needed to understand the rules for operating with the fractional derivatives and;

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Theory And Applications of Fractional Differential Equations

further investigations.- Fractional Modelling is an emergent tool with demonstrated applications in numerous seemingly diverse and;

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