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 | ||
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Lo trovi qui: Univ. Federico II | ||
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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] | ||
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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 |
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 | ||
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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 |
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 |
1-280-39183-9
9786613569752 3-642-14574-4 |
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 |
Diethelm Kai
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Berlin, : Springer, c2010 | ||
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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 |
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 |
Trigeassou Jean-Claude
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London : , : ISTE Limited, [2019] | ||
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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 |
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 |
Trigeassou Jean-Claude
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London : , : ISTE Limited, [2019] | ||
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Lo trovi qui: Univ. Federico II | ||
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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 | ||
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Lo trovi qui: Univ. del Salento | ||
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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] | ||
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Lo trovi qui: Univ. Federico II | ||
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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] | ||
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Lo trovi qui: Univ. di Salerno | ||
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Basic theory of fractional differential equations / / Yong Zhou (Xiangtan University, China), JinRong Wang (Guizhou University, China), Lu Zhang (Xiangtan University, China) |
Autore | Zhou Yong <1964-> |
Edizione | [Second edition.] |
Pubbl/distr/stampa | New Jersey : , : World Scientific, , [2017] |
Descrizione fisica | 1 online resource (380 pages) |
Disciplina | 515/.352 |
Soggetto topico |
Fractional differential equations
Differential equations Fractional calculus |
ISBN | 981-314-817-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910149710403321 |
Zhou Yong <1964->
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New Jersey : , : World Scientific, , [2017] | ||
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Lo trovi qui: Univ. Federico II | ||
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