Theory and Applications of Non-integer Order Systems: 8th Conference on Non-integer Order Calculus and Its Applications, Zakopane, Poland

Front Matter....Pages i-xii
Front Matter....Pages 1-1
Existence of Solutions of Abstract Fractional Impulsive Integrodifferential Equations of Sobolev Type....Pages 3-10
Quadrature Based Approximations of Non-integer Order Integrator on Finite Integration Interval....Pages 11-20
On the Fractional Continuous-Time Hegselmann–Krause’s Type Consensus Model....Pages 21-32
Harmonic Numbers of Any Order and the Wolstenholme’s-Type Relations for Harmonic Numbers....Pages 33-44
Cayley–Hamilton Theorem for Fractional Linear Systems....Pages 45-55
Order Composition Properties for Output-Additive Variable-Order Derivative....Pages 57-64
Variable-, Fractional-Order Oscillation Element....Pages 65-75
Variable-, Fractional-Order Inertial Element....Pages 77-87
Remarks on Mittag-Leffler Discrete Function and Putzer Algorithm for Fractional h-Difference Linear Equations....Pages 89-99
On the Output-Additive Switching Strategy for a New Variable Type and Order Difference....Pages 101-111
Large Deviations for Stochastic Fractional Differential Equations....Pages 113-121
Mean Square Stability of Discrete-Time Fractional Order Systems With Multiplicative Noise....Pages 123-133
Front Matter....Pages 135-135
Conformable Fractional Wave-Like Equation on a Radial Symmetric Plate....Pages 137-146
Reconstruction Robin Boundary Condition in the Heat Conduction Inverse Problem of Fractional Order....Pages 147-156
Linear and Nonlinear Fractional Voigt Models....Pages 157-167
Digital Fractional Integrator....Pages 169-174
Optimal Control for Discrete Fractional Systems....Pages 175-185
Fractional Order Back Stepping Sliding Mode Control for Blood Glucose Regulation in Type I Diabetes Patients....Pages 187-202
Maximum and Minimum Principles for the Generalized Fractional Diffusion Problem with a Scale Function-Dependent Derivative....Pages 203-214
On a New Class of Multistage Fractional-Order Phase-Lead Compensators....Pages 215-225
Front Matter....Pages 135-135
On the Existence of Optimal Controls for the Fractional Continuous-Time Cucker–Smale Model....Pages 227-240
Determining the Time Elapsed Since Sudden Localized Impulse Given to Fractional Advection Diffusion Equation....Pages 241-251
Accuracy Analysis for Fractional Order Transfer Function Models with Delay....Pages 253-263
Accuracy Estimation of Digital Fractional Order PID Controller....Pages 265-275
Modeling of Fractional-Order Integrators and Differentiators Using Tustin-Based Approximations and Model Order Reduction Techniques....Pages 277-286
Tempered Fractional Model of Transient Current in Organic Semiconductor Layers....Pages 287-295
Modeling Heat Transfer Process in Grid-Holes Structure Changed in Time Using Fractional Variable Order Calculus....Pages 297-306
Analysis of Performance Indicators for Tuning Non-integer Order Controllers....Pages 307-317
Front Matter....Pages 319-319
Controllability of Nonlinear Fractional Delay Dynamical Systems with Multiple Delays in Control....Pages 321-332
New Controllability Criteria for Fractional Systems with Varying Delays....Pages 333-344
Controllability of Nonlinear Stochastic Fractional Integrodifferential Systems in Hilbert Spaces....Pages 345-355
Finding a Set of (A, B, C, D) Realisations for Fractional One-Dimensional Systems with Digraph-Based Algorithm....Pages 357-368
Relative Controllability of Nonlinear Fractional Delay Dynamical Systems with Time Varying Delay in Control....Pages 369-379
Stability Analysis for the New Model of Fractional Discrete-Time Linear State-Space Systems....Pages 381-389
Fractional Differential-Algebraic Systems with Delay: Computation of Final Dimension Initial Conditions and Inputs for Given Outputs....Pages 391-401
Front Matter....Pages 403-403
Robot Path Control with Al-Alaoui Rule for Fractional Calculus Discretization....Pages 405-418
Implementation of Bi-fractional Filtering on the Arduino Uno Hardware Platform....Pages 419-428
Fractional Prabhakar Derivative and Applications in Anomalous Dielectrics: A Numerical Approach....Pages 429-439
Finite Element Method for Time Fractional Keller–Segel Chemotaxis System....Pages 441-448
Adaptive Fractional Order Sliding Mode Controller Design for Blood Glucose Regulation-4-3....Pages 449-465
Front Matter....Pages 403-403
Expansion of Digraph Size of 1-D Fractional System with Delay....Pages 467-476
A Discrete-Time Fractional Order PI Controller for a Three Phase Synchronous Motor Using an Optimal Loop Shaping Approach....Pages 477-487
Application of SubIval, a Method for Fractional-Order Derivative Computations in IVPs....Pages 489-499
Application of the Time-Fractional Diffusion Equation to Methyl Alcohol Mass Transfer in Silica....Pages 501-510
Back Matter....Pages 511-512