Diffusion process modeling by using fractional-order models D Sierociuk, T Skovranek, M Macias, I Podlubny, I Petras, A Dzielinski, ... Applied Mathematics and Computation 257, 2-11, 2015 | 113 | 2015 |

Derivation, interpretation, and analog modelling of fractional variable order derivative definition D Sierociuk, W Malesza, M Macias Applied Mathematical Modelling 39 (13), 3876-3888, 2015 | 53 | 2015 |

On the recursive fractional variable-order derivative: equivalent switching strategy, duality, and analog modeling D Sierociuk, W Malesza, M Macias Circuits, Systems, and Signal Processing 34 (4), 1077-1113, 2015 | 42 | 2015 |

On a new definition of fractional variable-order derivative D Sierociuk, W Malesza, M Macias Proceedings of the 14th International Carpathian Control Conference (ICCC …, 2013 | 36 | 2013 |

An alternative recursive fractional variable-order derivative definition and its analog validation M Macias, D Sierociuk ICFDA'14 International Conference on Fractional Differentiation and Its …, 2014 | 29 | 2014 |

Numerical schemes for initialized constant and variable fractional-order derivatives: matrix approach and its analog verification D Sierociuk, W Malesza, M Macias Journal of Vibration and Control 22 (8), 2032-2044, 2016 | 26 | 2016 |

Switching scheme, equivalence, and analog validation of the alternative fractional variable-order derivative definition D Sierociuk, W Malesza, M Macias 52nd IEEE conference on decision and control, 3876-3881, 2013 | 25 | 2013 |

Equivalent switching strategy and analog validation of the fractional variable order derivative definition D Sierociuk, W Malesza, M Macias 2013 European Control Conference (ECC), 3464-3469, 2013 | 24 | 2013 |

Comparison of variable fractional order PID controller for different types of variable order derivatives D Sierociuk, M Macias Proceedings of the 14th International Carpathian Control Conference (ICCC …, 2013 | 22 | 2013 |

Analog modeling of fractional switched order derivative using different switching schemes D Sierociuk, M Macias, W Malesza IEEE Journal on Emerging and Selected Topics in Circuits and Systems 3 (3 …, 2013 | 17 | 2013 |

Analytical solution of fractional variable order differential equations W Malesza, M Macias, D Sierociuk Journal of Computational and Applied Mathematics 348, 214-236, 2019 | 16 | 2019 |

Dual estimation of fractional variable order based on the unscented fractional order Kalman filter for direct and networked measurements D Sierociuk, M Macias, W Malesza, G Sarwas Circuits, Systems, and Signal Processing 35 (6), 2055-2082, 2016 | 14 | 2016 |

On a new symmetric fractional variable order derivative D Sierociuk, W Malesza, M Macias Theoretical developments and applications of non-integer order systems, 29-39, 2016 | 14 | 2016 |

Analog modeling of fractional switched-order derivatives: Experimental approach D Sierociuk, M Macias, W Malesza Advances in the theory and applications of non-integer order systems, 271-280, 2013 | 11 | 2013 |

Fractional order calculus for modeling and fractional PID control of the heating process M Macias, D Sierociuk Proceedings of the 13th International Carpathian Control Conference (ICCC …, 2012 | 11 | 2012 |

Solution of fractional variable order differential equation W Malesza, D Sierociuk, M Macias 2015 American Control Conference (ACC), 1537-1542, 2015 | 8 | 2015 |

Matrix approach and analog modeling for solving fractional variable order differential equations W Malesza, M Macias, D Sierociuk Advances in Modelling and Control of Non-integer-Order Systems, 71-80, 2015 | 8 | 2015 |

Modeling of electrical drive system with flexible shaft based on fractional calculus M Macias, D Sierociuk Proceedings of the 14th International Carpathian Control Conference (ICCC …, 2013 | 7 | 2013 |

New recursive approximation of fractional order derivative and its application to control D Sierociuk, M Macias 2016 17th International Carpathian Control Conference (ICCC), 673-678, 2016 | 6 | 2016 |

Variable order differential models of bone remodelling JP Neto, RM Coelho, D Valério, S Vinga, D Sierociuk, W Malesza, ... IFAC-PapersOnLine 50 (1), 8066-8071, 2017 | 5 | 2017 |