Non-Integer Order Calculus and its Applications

1. Decentralized Stabilization of Fractional Positive Descriptor Discrete-Time Linear Systems
Tadeusz Kaczorek

2. Non-invasive Control of the Fractional Hegselmann–Krause Type Model
Ricardo Almeida, Agnieszka B. Malinowska, Tatiana Odzijewicz

3. Differintegarator Based on Fractional Calculus of Convex Functions
Radosław Cioć

4. The AQM Dropping Packet Probability Function Based on Non-integer Order



$$PI^{alpha }D^beta $$



P

I
α


D
β




Controller
Adam Domański, Joanna Domańska, Tadeusz Czachórski, Jerzy Klamka, Jakub Szyguła

5. New Numerical Techniques for Solving Fractional Partial Differential Equations in Conformable Sense
Mehmet Yavuz, Necati Özdemir

6. Implementation of Low-Pass Fractional Filtering for the Purpose of Analysis of Electroencephalographic Signals
Aleksandra Kawala-Janik, Waldemar Bauer, Amir Al-Bakri, Chase Haddix, Rajamanickam Yuvaraj, Katarzyna Cichon, Wojciech Podraza

7. Grünwald-Letnikov-Laguerre Modeling ofDiscrete-Time Noncommensurate Fractional-Order State Space LTI MIMO Systems
Krzysztof J. Latawiec, Rafał Stanisławski, Marian Łukaniszyn, Marek Rydel, Bogusław R. Szkuta

8. Stability Analysis of Fractional Discrete-Time Linear Scalar Systems with Pure Delay
Andrzej Ruszewski

9. Duality Properties of Variable-Type and -Order Differences
Wiktor Malesza, Dominik Sierociuk

10. A PLC Implementation of PSE Approximant for Fractional Order Operator
Krzysztof Oprzedkiewicz, Edyta Gawin, Wojciech Mitkowski

11. Memory-Effective Modifications of PSE Approximation
Krzysztof Oprzedkiewicz

12. Comparison Fixed-Point and Floating-Point Implementation of Noninteger Filter of STM Microcontroller
Waldemar Bauer, Wojciech Słowik

13. Fractional Derivative Approach in Modeling of a Nonlinear Coil for Ferroresonance Analyses
Łukasz Majka

14. An Extended Kalman Filter for Time Delays Inspired by a Fractional Order Model
Benedikt Haus, Paolo Mercorelli

15. Fractional Linear Systems with Memory Deficiency and Their State-Space Integer-Order Approximation
Stefan Domek

16. Analysis of Fractional Electrical Circuit Using Caputo and Conformable Derivative Definitions
Ewa Piotrowska, Krzysztof Rogowski

17. Application of Fractional-Order Controller
Magdalena Gertner

18. State Delays Extraction in the Fractional-Order State-Space Model
Piotr Ostalczyk, Marcin Bąkała, Jacek Nowakowski

19. Solutions of Circuits with Fractional, Nonlinear Elements by Means of a SubIval Solver
Marcin Sowa

Nyckelord: Engineering, Complexity, Signal, Image and Speech Processing