Theory and applications of non-integer order systems : 8th Conference on Non-integer Order Calculus and Its Applications, Zakopane, Poland /: 8th Conference on Non-integer Order Calculus and Its Applications, Zakopane, Poland. ([2017])

• Record Type: Book
• Further Information: Note: Artur Babiarz, Adam Czornik, Jerzy Klamka, Michał Niezabitowski, editors.
• Editors: Babiarz, Artur; Czornik, Adam; Klamka, Jerzy; Niezabitowski, Michał
• Other Names: Conference on Non-Integer Order Calculus and Its Applications, 8th
• Contents: Preface; Organization; Program Committee; Organizing Committee; Contents; Mathematical Foundations; Existence of Solutions of Abstract Fractional Impulsive Integrodifferential Equations of Sobolev Type; 1 Introduction; 2 Preliminaries; 3 Main Results; 4 Conclusion; References; Quadrature Based Approximations of Non-integer Order Integrator on Finite Integration Interval; 1 Introduction; 2 Diffusive Realization of Non-integer Order Integrator; 3 Approximation of Diffusive Realizations; 4 Quadratures on Infinite Intervals; 5 Approximation Analysis; 6 Conclusion; References. On the Fractional Continuous-Time Hegselmann -- Krause's Type Consensus Model1 Introduction and Preliminaries; 2 Consensus Formation; 3 Numerical Examples; References; Harmonic Numbers of Any Order and the Wolstenholme's-Type Relations for Harmonic Numbers; 1 New Definition of the Generalized Harmonic Numbers; 1.1 The Weyl Integral; 1.2 Poligamma Functions and Their Modifications; 1.3 Harmonic Numbers of Order r>1; 1.4 Selected Identities for the Generalized Harmonic Numbers; 2 Wolstenholme's-Type Relations for the Harmonic Numbers and the Generalized Harmonic Numbers. 2.1 Our Results -- Congruence Relations for the Harmonic Numbers and the Generalized Harmonic NumbersReferences; Cayley -- Hamilton Theorem for Fractional Linear Systems; 1 Introduction; 2 Preliminaries; 3 Cayley -- Hamilton Theorem for Fractional Continuous-Time linear Systems; 4 Cayley -- Hamilton Theorem for Discrete-Time Linear Systems; 5 Concluding Remarks; References; Order Composition Properties for Output-Additive Variable-Order Derivative; 1 Introduction; 2 Fractional-Order Grunwald -- Letnikov Type Derivative; 3 The Output-Additive Fractional Variable-Order Derivative. 4 The Output-Additive Switching Scheme5 Orders Composition Properties; 6 Numerical Results of Output-Additive Switching Scheme Composition with Fractional Constant-Order Differ-Integral; 7 Conclusions; References; Variable-, Fractional-Order Oscillation Element; 1 Introduction and Preliminaries; 1.1 Variable-, Fractional-Order Linear Integrator; 2 VFO Oscillation Element Description and Response; 3 VFOOE Stability and Oscillations Criteria; 4 Final Conclusions; References; Variable-, Fractional-Order Inertial Element; 1 Introduction; 2 Preliminaries; 3 VFO Inertial Element. 4 VFOIE Existence Conditions5 Numerical Examples; 6 Final Conclusions; References; Remarks on Mittag-Leffler Discrete Function and Putzer Algorithm for Fractional h-Difference Linear Equations; 1 Introduction; 2 Difference Fractional h-Operators; 3 Discrete Mittag-Leffler Function; 4 h-Difference Fractional Order Operators; 5 Putzer Algorithm; 6 Remarks on Mittag-Leffler Continuous Function for Caputo Operator; 7 Conclusions; References; On the Output-Additive Switching Strategy for a New Variable Type and Order Difference; 1 Introduction.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Copyright Date: 2017
• Extent: 1 online resource (xii, 512 pages), illustrations
• Subjects: 515/.33; Engineering; Derivatives (Mathematics) -- Congresses; Fractional calculus -- Congresses; MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Derivatives (Mathematics); Fractional calculus; Engineering; Control; Complexity; Technology & Engineering -- General; Cybernetics & systems theory; Technology & Engineering -- Automation; Automatic control engineering; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319454740; 3319454749
• Related ISBNs: 9783319454733; 3319454730
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (EBSCO, viewed October 21, 2016).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.