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The 5th Mexican workshop on fractional calculus / / edited by Jorge M. Cruz-Duarte, Porfirio Toledo-Hernández
| The 5th Mexican workshop on fractional calculus / / edited by Jorge M. Cruz-Duarte, Porfirio Toledo-Hernández |
| Pubbl/distr/stampa | Basel, Switzerland : , : MDPI - Multidisciplinary Digital Publishing Institute, , 2023 |
| Descrizione fisica | 1 online resource (68 pages) |
| Disciplina | 515.83 |
| Soggetto topico | Fractional calculus |
| ISBN | 3-0365-6695-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910719776003321 |
| Basel, Switzerland : , : MDPI - Multidisciplinary Digital Publishing Institute, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Abstract fractional monotone approximation, theory and applications / / George A. Anastassiou
| Abstract fractional monotone approximation, theory and applications / / George A. Anastassiou |
| Autore | Anastassiou George A. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer International Publishing, , [2022] |
| Descrizione fisica | 1 online resource (155 pages) |
| Disciplina | 515.83 |
| Collana | Studies in Systems, Decision and Control |
| Soggetto topico |
Fractional calculus
Calculus - Study and teaching |
| ISBN |
9783030959432
9783030959425 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910552731003321 |
Anastassiou George A.
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| Cham, Switzerland : , : Springer International Publishing, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Advances in fractional calculus : theoretical developments and applications in physics and engineering / edited by J. Sabatier, O.P. Agrawal, J.A. Tenreiro Machado
| Advances in fractional calculus : theoretical developments and applications in physics and engineering / edited by J. Sabatier, O.P. Agrawal, J.A. Tenreiro Machado |
| Pubbl/distr/stampa | Dordrecht, The Netherlands : Springer Verlag2007 |
| Descrizione fisica | xiii, 552 p. : ill. ; 24 cm. |
| Disciplina | 515 |
| Altri autori (Persone) |
Sabatier, J. (Jocelyn)
Agrawal, Om Prakash Machado, J. A. Tenreiro |
| Soggetto topico |
Fractional calculus
Calculus |
| ISBN | 9781402060410 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000380109707536 |
| Dordrecht, The Netherlands : Springer Verlag2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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The analysis of fractional differential equations : an application-oriented exposition using differential operators of Caputo type / / Kai Diethelm
| The analysis of fractional differential equations : an application-oriented exposition using differential operators of Caputo type / / Kai Diethelm |
| Autore | Diethelm Kai |
| Edizione | [1st ed. 2010.] |
| Pubbl/distr/stampa | Berlin, : Springer, c2010 |
| Descrizione fisica | 1 online resource (VIII, 247 p. 10 illus.) |
| Disciplina | 515/.83 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Differential equations
Fractional calculus |
| ISBN |
9786613569752
9781280391835 1280391839 9783642145742 3642145744 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Fundamentals of Fractional Calculus -- Riemann-Liouville Differential and Integral Operators -- Caputo’s Approach -- Mittag-Leffler Functions -- Theory of Fractional Differential Equations -- Existence and Uniqueness Results for Riemann-Liouville Fractional Differential Equations -- Single-Term Caputo Fractional Differential Equations: Basic Theory and Fundamental Results -- Single-Term Caputo Fractional Differential Equations: Advanced Results for Special Cases -- Multi-Term Caputo Fractional Differential Equations. |
| Altri titoli varianti | Application-oriented exposition using differential operators of Caputo type |
| Record Nr. | UNINA-9910484261203321 |
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Diethelm Kai
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| Berlin, : Springer, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Analysis, modeling and stability of fractional order differential systems 2 : the infinite state approach / / Jean-Claude Trigeassou, Nezha Maamri
| Analysis, modeling and stability of fractional order differential systems 2 : the infinite state approach / / Jean-Claude Trigeassou, Nezha Maamri |
| Autore | Trigeassou Jean-Claude |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | London : , : ISTE Limited, [2019] |
| Descrizione fisica | 1 online resource (409 pages) : illustrations |
| Disciplina | 515.83 |
| Collana | Systems and industrial engineering series |
| Soggetto topico |
Fractional calculus
Fractional differential equations Fractional integrals |
| ISBN |
1-119-68681-4
1-119-68684-9 1-119-68685-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910554849503321 |
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Trigeassou Jean-Claude
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| London : , : ISTE Limited, [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Analysis, modeling and stability of fractional order differential systems 2 : the infinite state approach / / Jean-Claude Trigeassou, Nezha Maamri
| Analysis, modeling and stability of fractional order differential systems 2 : the infinite state approach / / Jean-Claude Trigeassou, Nezha Maamri |
| Autore | Trigeassou Jean-Claude |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | London : , : ISTE Limited, [2019] |
| Descrizione fisica | 1 online resource (409 pages) : illustrations |
| Disciplina | 515.83 |
| Collana | Systems and industrial engineering series |
| Soggetto topico |
Fractional calculus
Fractional differential equations Fractional integrals |
| ISBN |
1-119-68681-4
1-119-68684-9 1-119-68685-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910816872403321 |
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Trigeassou Jean-Claude
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| London : , : ISTE Limited, [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Applications of fractional calculus in physics / editor R. Hilfer
| Applications of fractional calculus in physics / editor R. Hilfer |
| Pubbl/distr/stampa | Singapore ; River Edge, NJ : World Scientific, c2000 |
| Descrizione fisica | vii, 463 p. : ill. ; 23 cm |
| Disciplina | 530.15583 |
| Altri autori (Persone) | Hilfer, Rudolf |
| Soggetto topico |
Fractional calculus
Mathematical physics |
| ISBN | 9810234570 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003611129707536 |
| Singapore ; River Edge, NJ : World Scientific, c2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Applied fractional calculus in identification and control / / Utkal Mehta, Kishore Bingi, Sahaj Saxena (editors)
| Applied fractional calculus in identification and control / / Utkal Mehta, Kishore Bingi, Sahaj Saxena (editors) |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (212 pages) |
| Disciplina | 515.83 |
| Collana | Studies in infrastructure and control |
| Soggetto topico |
Fractional calculus
Mathematical optimization Control automàtic Càlcul fraccional Optimització matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-19-3501-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- About the Editors -- 1 Fractional Calculus for Multivariate Vector-Valued Function and Fractal Function -- 1 Introduction -- 2 Katugampola Fractional Integral of a Multivariate Vector-Valued Function -- 3 Fractional Derivative of a Fractal Function -- 4 Conclusion -- References -- 2 Synchronization of Stochastic Fractional Chaotic Systems -- 1 Introduction -- 2 Preliminaries -- 3 Main Results -- 4 Examples -- 5 Conclusion -- References -- 3 Fractional-Order Comb Filter Design For Power-Line Interference Removal -- 1 Introduction -- 2 Background of Fractional-Order Filter Design -- 3 Proposed Approach for Fractional-Order Comb Filter -- 4 Design and Verification -- 5 Conclusions -- References -- 4 Practical Realization of Fractional-Order Notch Filter with Asymmetric Slopes and Optimized Quality Factor -- 1 Introduction -- 2 Fractional-Order Notch Filter -- 3 Optimizing Filter Coefficients for Real-Time Implementation -- 4 Simulation and Experimental Study -- 5 Conclusions -- References -- 5 Fractional Order Modified IMC for Integrating Processes for Given Stability Margins and Increased Closed Loop Bandwidth -- 1 Introduction -- 2 Controller Design -- 2.1 Process-1 -- 2.2 Process-2 -- 2.3 Evaluation of Controller Parameters -- 2.4 Solution Philosophy -- 2.5 Finding beta Subscript a Baseline element of normal upper Delta Subscript aβa inΔa -- 2.6 Finding beta Subscript b Baseline element of normal upper Delta Subscript bβb inΔb -- 3 Simulation Examples -- 3.1 Example-1 -- 3.2 Example-2 -- 4 Discussions and Conclusions -- References -- 6 Internal Model Control-Based Fractional Order Controller Design for Process Plants Satisfying Desired Gain Margin and Phase Margin -- 1 Introduction -- 1.1 Motivation to Not Approximating the Delay Term in IMC -- 2 Internal Model Controller.
2.1 upper A Subscript mAm and phi Subscript mφm Specifications -- 2.2 Design Philosophy -- 2.3 Finding omega Subscript p Baseline element of normal upper Xi Subscript aωpinΞa -- 2.4 Finding omega Subscript g Baseline element of normal upper Xi Subscript bωg inΞb -- 2.5 Disturbance Rejection Analysis -- 2.6 Algorithm for Determining FO-IMC Controller Parameters -- 3 Simulation Studies and Experimental Validation -- 3.1 Example-I -- 3.2 Example-II -- 3.3 Example-III -- 3.4 Experimental Validation -- 4 Discussion and Conclusion -- References -- 7 Novel Hybrid Iterative Learning-Fractional Predicative PI Controller for Time-Delay Systems -- 1 Introduction -- 2 Methodology -- 2.1 Controller Evolution -- 2.2 Iterative Learning Control -- 3 Results and Discussion -- 3.1 Process Model Selection -- 3.2 L- and Q-Filter Parameters Identification -- 3.3 FOPDT Process Model -- 3.4 SOPDT Process Model -- 3.5 Summary -- 4 Conclusion -- References -- 8 Design of Robust Model Predictive Controller for DC Motor Using Fractional Calculus -- 1 Introduction -- 2 Modeling of DC Motors with a Fractional Order -- 3 Design of Fractional Model Predictive Controller (FMPC) for DC Motor Model -- 4 Checking the Robustness of the Response of the Fractional-Order Model -- 5 Conclusion -- References -- 9 Studying Fractional-Order Controller Structures for Load Frequency Control of Interconnected Multiple Source Power System -- 1 Introduction -- 2 Concept Explanation -- 2.1 Chosen Application -- 3 Control Optimization Method -- 3.1 Bubble Net Attacking Method -- 3.2 Robust Tuning Performance Index -- 4 Analysis -- 4.1 Load Disturbance Approach-Scenario 1 -- 4.2 Load Disturbance Approach-Scenario 2 -- 4.3 Parameter Perturbation Approach -- 5 Conclusions -- References -- 10 Hardware Implementation of the Fractional Controller on Quadrotor Aircraft -- 1 Introduction. 2 Preliminary Concepts -- 3 Euler Angles Representation of 3D Rotation -- 4 Quadrotor Body Dynamics -- 5 Quadrotor Actuator Dynamics -- 6 Quadrotor State-Space Model -- 7 Quadrotor Linear Model -- 8 Quadrotor Transfer Functions for Control Design -- 9 Numeric Computation of Fractional-Order Blocks for Hardware Implementation -- 10 Hardware Station Setup -- 10.1 Hardware Experimentation Workflow Scheme -- 11 Analysing Experimentation results -- 12 Conclusions -- References -- 11 Optimum Fractional-Order PID for Active Suspension of Quarter Car Model Control -- 1 Introduction -- 2 Mathematical Model of Quarter Car Model System -- 3 Brief Design of FO-PID Controller -- 4 Simulation Parameters -- 5 Results and Discussions -- 6 Conclusion -- References. |
| Record Nr. | UNINA-9910592986703321 |
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Applied fractional calculus in identification and control / / Utkal Mehta, Kishore Bingi, Sahaj Saxena (editors)
| Applied fractional calculus in identification and control / / Utkal Mehta, Kishore Bingi, Sahaj Saxena (editors) |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (212 pages) |
| Disciplina | 515.83 |
| Collana | Studies in infrastructure and control |
| Soggetto topico |
Fractional calculus
Mathematical optimization Control automàtic Càlcul fraccional Optimització matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-19-3501-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- About the Editors -- 1 Fractional Calculus for Multivariate Vector-Valued Function and Fractal Function -- 1 Introduction -- 2 Katugampola Fractional Integral of a Multivariate Vector-Valued Function -- 3 Fractional Derivative of a Fractal Function -- 4 Conclusion -- References -- 2 Synchronization of Stochastic Fractional Chaotic Systems -- 1 Introduction -- 2 Preliminaries -- 3 Main Results -- 4 Examples -- 5 Conclusion -- References -- 3 Fractional-Order Comb Filter Design For Power-Line Interference Removal -- 1 Introduction -- 2 Background of Fractional-Order Filter Design -- 3 Proposed Approach for Fractional-Order Comb Filter -- 4 Design and Verification -- 5 Conclusions -- References -- 4 Practical Realization of Fractional-Order Notch Filter with Asymmetric Slopes and Optimized Quality Factor -- 1 Introduction -- 2 Fractional-Order Notch Filter -- 3 Optimizing Filter Coefficients for Real-Time Implementation -- 4 Simulation and Experimental Study -- 5 Conclusions -- References -- 5 Fractional Order Modified IMC for Integrating Processes for Given Stability Margins and Increased Closed Loop Bandwidth -- 1 Introduction -- 2 Controller Design -- 2.1 Process-1 -- 2.2 Process-2 -- 2.3 Evaluation of Controller Parameters -- 2.4 Solution Philosophy -- 2.5 Finding beta Subscript a Baseline element of normal upper Delta Subscript aβa inΔa -- 2.6 Finding beta Subscript b Baseline element of normal upper Delta Subscript bβb inΔb -- 3 Simulation Examples -- 3.1 Example-1 -- 3.2 Example-2 -- 4 Discussions and Conclusions -- References -- 6 Internal Model Control-Based Fractional Order Controller Design for Process Plants Satisfying Desired Gain Margin and Phase Margin -- 1 Introduction -- 1.1 Motivation to Not Approximating the Delay Term in IMC -- 2 Internal Model Controller.
2.1 upper A Subscript mAm and phi Subscript mφm Specifications -- 2.2 Design Philosophy -- 2.3 Finding omega Subscript p Baseline element of normal upper Xi Subscript aωpinΞa -- 2.4 Finding omega Subscript g Baseline element of normal upper Xi Subscript bωg inΞb -- 2.5 Disturbance Rejection Analysis -- 2.6 Algorithm for Determining FO-IMC Controller Parameters -- 3 Simulation Studies and Experimental Validation -- 3.1 Example-I -- 3.2 Example-II -- 3.3 Example-III -- 3.4 Experimental Validation -- 4 Discussion and Conclusion -- References -- 7 Novel Hybrid Iterative Learning-Fractional Predicative PI Controller for Time-Delay Systems -- 1 Introduction -- 2 Methodology -- 2.1 Controller Evolution -- 2.2 Iterative Learning Control -- 3 Results and Discussion -- 3.1 Process Model Selection -- 3.2 L- and Q-Filter Parameters Identification -- 3.3 FOPDT Process Model -- 3.4 SOPDT Process Model -- 3.5 Summary -- 4 Conclusion -- References -- 8 Design of Robust Model Predictive Controller for DC Motor Using Fractional Calculus -- 1 Introduction -- 2 Modeling of DC Motors with a Fractional Order -- 3 Design of Fractional Model Predictive Controller (FMPC) for DC Motor Model -- 4 Checking the Robustness of the Response of the Fractional-Order Model -- 5 Conclusion -- References -- 9 Studying Fractional-Order Controller Structures for Load Frequency Control of Interconnected Multiple Source Power System -- 1 Introduction -- 2 Concept Explanation -- 2.1 Chosen Application -- 3 Control Optimization Method -- 3.1 Bubble Net Attacking Method -- 3.2 Robust Tuning Performance Index -- 4 Analysis -- 4.1 Load Disturbance Approach-Scenario 1 -- 4.2 Load Disturbance Approach-Scenario 2 -- 4.3 Parameter Perturbation Approach -- 5 Conclusions -- References -- 10 Hardware Implementation of the Fractional Controller on Quadrotor Aircraft -- 1 Introduction. 2 Preliminary Concepts -- 3 Euler Angles Representation of 3D Rotation -- 4 Quadrotor Body Dynamics -- 5 Quadrotor Actuator Dynamics -- 6 Quadrotor State-Space Model -- 7 Quadrotor Linear Model -- 8 Quadrotor Transfer Functions for Control Design -- 9 Numeric Computation of Fractional-Order Blocks for Hardware Implementation -- 10 Hardware Station Setup -- 10.1 Hardware Experimentation Workflow Scheme -- 11 Analysing Experimentation results -- 12 Conclusions -- References -- 11 Optimum Fractional-Order PID for Active Suspension of Quarter Car Model Control -- 1 Introduction -- 2 Mathematical Model of Quarter Car Model System -- 3 Brief Design of FO-PID Controller -- 4 Simulation Parameters -- 5 Results and Discussions -- 6 Conclusion -- References. |
| Record Nr. | UNISA-996490346903316 |
| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Basic Theory of Fractional Differential Equations
| Basic Theory of Fractional Differential Equations |
| Autore | Moreira Olga |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Burlington : , : Arcler Education Inc, , 2024 |
| Descrizione fisica | 1 online resource (354 pages) |
| Soggetto topico |
Fractional calculus
Differential equations |
| ISBN |
9781774699898
1774699893 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- HalfTitle Page -- Title Page -- Copyright -- Declaration -- About the Editor -- Table of Contents -- List of Contributors -- List of Abbreviations -- Preface -- Chapter 1: Introduction -- Reference -- Chapter 2: Exact Solutions for Some Fractional Differential Equations -- Abstract -- Introduction -- Jumarie’s Modified Riemann-liouville Derivative And The Extended Jacobi Elliptic Function Expansion Method -- Applications of the Method -- Space-time Fractional Bidirectional Wave Equations -- The Space-time Nonlinear Fractional Srlw Equation -- Conclusion -- Conflict of Interests -- Acknowledgments -- References -- Chapter 3: Compact and Noncompact Solutions to Generalized Sturm–Liouville and Langevin Equation with Caputo–Hadamard Fractional -- Abstract -- Introduction -- Preliminaries -- Auxiliary Results -- The Existence of Solution For the Gslle -- Numerical Examples |
| Record Nr. | UNINA-9910984646103321 |
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Moreira Olga
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| Burlington : , : Arcler Education Inc, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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