Fractional Dynamics and Control

Front Matter....Pages i-ix
Front Matter....Pages 1-1
A Formulation and Numerical Scheme for Fractional Optimal Control of Cylindrical Structures Subjected to General Initial Conditions....Pages 3-17
Neural Network-Assisted PI λ D μ Control....Pages 19-31
Application of Backstepping Control Technique to Fractional Order Dynamic Systems....Pages 33-47
Parameter Tuning of a Fractional-Order PI Controller Using the ITAE Criteria....Pages 49-57
A Fractional Model Predictive Control for Fractional Order Systems....Pages 59-71
A Note on the Sequential Linear Fractional Dynamical Systems from the Control System Viewpoint and L 2 -Theory....Pages 73-83
Stabilization of Fractional Order Unified Chaotic Systems via Linear State Feedback Controller....Pages 85-94
Front Matter....Pages 95-95
Fractional Variational Calculus for Non-differentiable Functions....Pages 97-108
Fractional Euler–Lagrange Differential Equations via Caputo Derivatives....Pages 109-118
Strict Stability of Fractional Perturbed Systems in Terms of Two Measures....Pages 119-132
Initial Time Difference Strict Stability of Fractional Dynamic Systems....Pages 133-144
A Fractional Order Dynamical Trajectory Approach for Optimization Problem with HPM....Pages 145-155
Front Matter....Pages 157-157
On the Hadamard Type Fractional Differential System....Pages 159-171
Robust Synchronization and Parameter Identification of a Unified Fractional-Order Chaotic System....Pages 173-184
Fractional Cauchy Problems on Bounded Domains: Survey of Recent Results....Pages 185-198
Fractional Analogous Models in Mechanics and Gravity Theories....Pages 199-207
Schrödinger Equation in Fractional Space....Pages 209-215
Solutions of Wave Equation in Fractional Dimensional Space....Pages 217-228
Fractional Exact Solutions and Solitons in Gravity....Pages 229-236
Front Matter....Pages 237-237
Front Propagation in an Autocatalytic Reaction-Subdiffusion System....Pages 239-247
Front Matter....Pages 237-237
Numerical Solution of a Two-Dimensional Anomalous Diffusion Problem....Pages 249-261
Analyzing Anomalous Diffusion in NMR Using a Distribution of Rate Constants....Pages 263-274
Using Fractional Derivatives to Generalize the Hodgkin–Huxley Model....Pages 275-282
An Application of Fractional Calculus to Dielectric Relaxation Processes....Pages 283-291
Fractional Wave Equation for Dielectric Medium with Havriliak–Negami Response....Pages 293-301
Back Matter....Pages 303-309