000777239 000__ 06191cam\a2200601Ii\4500 000777239 001__ 777239 000777239 005__ 20230306142705.0 000777239 006__ m\\\\\o\\d\\\\\\\\ 000777239 007__ cr\nn\nnnunnun 000777239 008__ 160919s2017\\\\sz\a\\\\ob\\\\101\0\eng\d 000777239 019__ $$a958864903$$a959272910$$a959873862$$a974651755 000777239 020__ $$a9783319454740$$q(electronic book) 000777239 020__ $$a3319454749$$q(electronic book) 000777239 020__ $$z9783319454733 000777239 020__ $$z3319454730 000777239 0247_ $$a10.1007/978-3-319-45474-0$$2doi 000777239 035__ $$aSP(OCoLC)ocn958651195 000777239 035__ $$aSP(OCoLC)958651195$$z(OCoLC)958864903$$z(OCoLC)959272910$$z(OCoLC)959873862$$z(OCoLC)974651755 000777239 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dGW5XE$$dEBLCP$$dYDX$$dN$T$$dOCLCF$$dAZU$$dCOO$$dUAB$$dUPM$$dIOG 000777239 049__ $$aISEA 000777239 050_4 $$aQA325$$b.C66 2017 000777239 08204 $$a515/.33$$223 000777239 1112_ $$aConference on Non-Integer Order Calculus and Its Applications$$n(8th :$$d2016 :$$cZakopane, Poland) 000777239 24510 $$aTheory and applications of non-integer order systems :$$b8th Conference on Non-integer Order Calculus and Its Applications, Zakopane, Poland /$$cArtur Babiarz, Adam Czornik, Jerzy Klamka, Michał Niezabitowski, editors. 000777239 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2017] 000777239 264_4 $$c©2017 000777239 300__ $$a1 online resource (xii, 512 pages) :$$billustrations. 000777239 336__ $$atext$$btxt$$2rdacontent 000777239 337__ $$acomputer$$bc$$2rdamedia 000777239 338__ $$aonline resource$$bcr$$2rdacarrier 000777239 347__ $$atext file$$bPDF$$2rda 000777239 4901_ $$aLecture notes in electrical engineering,$$x1876-1100 ;$$vvolume 407 000777239 504__ $$aIncludes bibliographical references and index. 000777239 5050_ $$aPreface; 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 000777239 5058_ $$aOn the Fractional Continuous-Time Hegselmann -- Krause's Type Consensus Model1 Introduction and Preliminaries; 2 Consensus Formation; 3 Numerical Examples; References; Harmonic Numbers of Any Order and the Wolstenholme's-Type Relations for Harmonic Numbers; 1 New Definition of the Generalized Harmonic Numbers; 1.1 The Weyl Integral; 1.2 Poligamma Functions and Their Modifications; 1.3 Harmonic Numbers of Order r>1; 1.4 Selected Identities for the Generalized Harmonic Numbers; 2 Wolstenholme's-Type Relations for the Harmonic Numbers and the Generalized Harmonic Numbers 000777239 5058_ $$a2.1 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 000777239 5058_ $$a4 The Output-Additive Switching Scheme5 Orders Composition Properties; 6 Numerical Results of Output-Additive Switching Scheme Composition with Fractional Constant-Order Differ-Integral; 7 Conclusions; References; Variable-, Fractional-Order Oscillation Element; 1 Introduction and Preliminaries; 1.1 Variable-, Fractional-Order Linear Integrator; 2 VFO Oscillation Element Description and Response; 3 VFOOE Stability and Oscillations Criteria; 4 Final Conclusions; References; Variable-, Fractional-Order Inertial Element; 1 Introduction; 2 Preliminaries; 3 VFO Inertial Element 000777239 5058_ $$a4 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 000777239 506__ $$aAccess limited to authorized users. 000777239 520__ $$aThis book collects papers from the 8th Conference on Non-Integer Order Calculus and Its Applications that have been held on September 20-21, 2016 in Zakopane, Poland. The preceding two conferences were held in Szczecin, Poland in 2015, and in Opole, Poland, in 2014. This conference provides a platform for academic exchange on the theory and application of fractional calculus between domestic and international universities, research institutes, corporate experts and scholars. The Proceedings of the 8th Conference on Non-Integer Order Calculus and Its Applications 2016 brings together rigorously reviewed contributions from leading international experts. The included papers cover novel various important aspects of mathematical foundations of fractional calculus, modeling and control of fractional systems as well as controllability, detectability, observability and stability problems for this systems. 000777239 588__ $$aOnline resource; title from PDF title page (viewed October 21, 2016) 000777239 650_0 $$aDerivatives (Mathematics)$$vCongresses. 000777239 650_0 $$aFractional calculus$$vCongresses. 000777239 7001_ $$aBabiarz, Artur,$$eeditor. 000777239 7001_ $$aCzornik, Adam,$$eeditor. 000777239 7001_ $$aKlamka, Jerzy,$$eeditor. 000777239 7001_ $$aNiezabitowski, Michał,$$eeditor. 000777239 77608 $$iPrint version:$$z3319454730$$z9783319454733$$w(OCoLC)954008289 000777239 830_0 $$aLecture notes in electrical engineering ;$$vv. 407. 000777239 852__ $$bebk 000777239 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-45474-0$$zOnline Access$$91397441.1 000777239 909CO $$ooai:library.usi.edu:777239$$pGLOBAL_SET 000777239 980__ $$aEBOOK 000777239 980__ $$aBIB 000777239 982__ $$aEbook 000777239 983__ $$aOnline 000777239 994__ $$a92$$bISE