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Fractional and Multivariable Calculus [[electronic resource] ] : Model Building and Optimization Problems / / by A.M. Mathai, H.J. Haubold
| Fractional and Multivariable Calculus [[electronic resource] ] : Model Building and Optimization Problems / / by A.M. Mathai, H.J. Haubold |
| Autore | Mathai A.M |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (XIII, 234 p. 7 illus.) |
| Disciplina | 515.83 |
| Collana | Springer Optimization and Its Applications |
| Soggetto topico |
Mathematical models
Mathematical optimization Special functions Integral transforms Operational calculus Mathematical Modeling and Industrial Mathematics Optimization Special Functions Integral Transforms, Operational Calculus |
| ISBN | 3-319-59993-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Essential of Fractional Calculus -- 2. Multivariable Calculus -- 3. Deterministic Models and Optimization -- 4. Non-deterministic Models and Optimization -- 5. Optimal Regression Designs. –Index. |
| Record Nr. | UNINA-9910254277003321 |
Mathai A.M
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractional behaviours modelling : analysis and application of several unusual tools / / Jocelyn Sabatier, Christophe Farges, and Vincent Tartaglione
| Fractional behaviours modelling : analysis and application of several unusual tools / / Jocelyn Sabatier, Christophe Farges, and Vincent Tartaglione |
| Autore | Sabatier J (Jocelyn) |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (139 pages) : illustrations (some color) |
| Disciplina | 515.83 |
| Collana | Intelligent Systems, Control and Automation: Science and Engineering |
| Soggetto topico |
Stochastic processes
Fractional calculus Fractional programming |
| ISBN | 3-030-96749-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction Power-law type dynamic behaviours Fractional order models Introduction of new kernels Volterra equation Non-linear models Partial differential equations with spatially variable coefficients |
| Record Nr. | UNINA-9910553072103321 |
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Sabatier J (Jocelyn)
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractional calculus [[electronic resource] ] : models and numerical methods / / Dumitru Baleanu ... [et al.]
| Fractional calculus [[electronic resource] ] : models and numerical methods / / Dumitru Baleanu ... [et al.] |
| Autore | Baleanu D (Dumitru) |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2012 |
| Descrizione fisica | 1 online resource (426 p.) |
| Disciplina | 515.83 |
| Collana | Series on complexity, nonlinearity and chaos |
| Soggetto topico |
Fractional calculus
Mathematical models |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-66952-7
9786613646453 981-4355-21-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Preliminaries; 1.1 Fourier and Laplace Transforms; 1.2 Special Functions and Their Properties; 1.2.1 The Gamma function and related special functions; 1.2.2 Hypergeometric functions; 1.2.3 Mittag-Leffler functions; 1.3 Fractional Operators; 1.3.1 Riemann-Liouville fractional integrals and fractional derivatives; 1.3.2 Caputo fractional derivatives; 1.3.3 Liouville fractional integrals and fractional derivatives. Marchaud derivatives; 1.3.4 Generalized exponential functions; 1.3.5 Hadamard type fractional integrals and fractional derivatives
1.3.6 Fractional integrals and fractional derivatives of a function with respect to another function1.3.7 Grunwald-Letnikov fractional derivatives; 2. A Survey of Numerical Methods for the Solution of Ordinary and Partial Fractional Differential Equations; 2.1 Approximation of Fractional Operators; 2.1.1 Methods based on quadrature theory; 2.1.2 Grunwald-Letnikov methods; 2.1.3 Lubich's fractional linear multistep methods; 2.2 Direct Methods for Fractional ODEs; 2.2.1 The basic idea; 2.2.2 Quadrature-based direct methods; 2.3 Indirect Methods for Fractional ODEs; 2.3.1 The basic idea 2.3.2 An Adams-type predictor-corrector method2.3.3 The Cao-Burrage-Abdullah approach; 2.4 Linear Multistep Methods; 2.5 Other Methods; 2.6 Methods for Terminal Value Problems; 2.7 Methods for Multi-Term FDE and Multi-Order FDS; 2.8 Extension to Fractional PDEs; 2.8.1 General formulation of the problem; 2.8.2 Examples; 3. Efficient Numerical Methods; 3.1 Methods for Ordinary Differential Equations; 3.1.1 Dealing with non-locality; 3.1.2 Parallelization of algorithms; 3.1.3 When and when not to use fractional linear multistep formulas; 3.1.4 The use of series expansions 3.1.5 Adams methods for multi-order equations3.1.6 Two classes of singular equations as application examples; 3.2 Methods for Partial Differential Equations; 3.2.1 The method of lines; 3.2.2 BDFs for time-fractional equations; 3.2.3 Other methods; 3.2.4 Methods for equations with space-fractional operators; 4. Generalized Stirling Numbers and Applications; 4.1 Introduction; 4.2 Stirling Functions s(a, k), a C; 4.2.1 Equivalent definitions; 4.2.2 Multiple sum representations. The Riemann Zeta function; 4.3 General Stirling Functions s(α, β) with Complex Arguments 4.3.1 Definition and main result4.3.2 Differentiability of the s(α, β); The zeta function encore; 4.3.3 Recurrence relations for s(α, β); 4.4 Stirling Functions of the Second Kind S(α, k); 4.4.1 Stirling functions S(a, k), a 0, and their representations by Liouville and Marchaud fractional derivatives; 4.4.2 Stirling functions S(α, k), α < 0, and their representations by Liouville fractional integrals; 4.4.3 Stirling functions S(a, k), a C, and their representations; 4.4.4 Stirling functions S(a, k), a C, and recurrence relations 4.4.5 Further properties and first applications of Stirling functions S(a, k), a C |
| Record Nr. | UNINA-9910451608703321 |
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Baleanu D (Dumitru)
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||
| Singapore, : World Scientific Pub. Co., 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractional calculus [[electronic resource] ] : models and numerical methods / / Dumitru Baleanu ... [et al.]
| Fractional calculus [[electronic resource] ] : models and numerical methods / / Dumitru Baleanu ... [et al.] |
| Autore | Baleanu D (Dumitru) |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2012 |
| Descrizione fisica | 1 online resource (426 p.) |
| Disciplina | 515.83 |
| Altri autori (Persone) | BaleanuD (Dumitru) |
| Collana | Series on complexity, nonlinearity and chaos |
| Soggetto topico |
Fractional calculus
Mathematical models |
| ISBN |
1-280-66952-7
9786613646453 981-4355-21-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Preliminaries; 1.1 Fourier and Laplace Transforms; 1.2 Special Functions and Their Properties; 1.2.1 The Gamma function and related special functions; 1.2.2 Hypergeometric functions; 1.2.3 Mittag-Leffler functions; 1.3 Fractional Operators; 1.3.1 Riemann-Liouville fractional integrals and fractional derivatives; 1.3.2 Caputo fractional derivatives; 1.3.3 Liouville fractional integrals and fractional derivatives. Marchaud derivatives; 1.3.4 Generalized exponential functions; 1.3.5 Hadamard type fractional integrals and fractional derivatives
1.3.6 Fractional integrals and fractional derivatives of a function with respect to another function1.3.7 Grunwald-Letnikov fractional derivatives; 2. A Survey of Numerical Methods for the Solution of Ordinary and Partial Fractional Differential Equations; 2.1 Approximation of Fractional Operators; 2.1.1 Methods based on quadrature theory; 2.1.2 Grunwald-Letnikov methods; 2.1.3 Lubich's fractional linear multistep methods; 2.2 Direct Methods for Fractional ODEs; 2.2.1 The basic idea; 2.2.2 Quadrature-based direct methods; 2.3 Indirect Methods for Fractional ODEs; 2.3.1 The basic idea 2.3.2 An Adams-type predictor-corrector method2.3.3 The Cao-Burrage-Abdullah approach; 2.4 Linear Multistep Methods; 2.5 Other Methods; 2.6 Methods for Terminal Value Problems; 2.7 Methods for Multi-Term FDE and Multi-Order FDS; 2.8 Extension to Fractional PDEs; 2.8.1 General formulation of the problem; 2.8.2 Examples; 3. Efficient Numerical Methods; 3.1 Methods for Ordinary Differential Equations; 3.1.1 Dealing with non-locality; 3.1.2 Parallelization of algorithms; 3.1.3 When and when not to use fractional linear multistep formulas; 3.1.4 The use of series expansions 3.1.5 Adams methods for multi-order equations3.1.6 Two classes of singular equations as application examples; 3.2 Methods for Partial Differential Equations; 3.2.1 The method of lines; 3.2.2 BDFs for time-fractional equations; 3.2.3 Other methods; 3.2.4 Methods for equations with space-fractional operators; 4. Generalized Stirling Numbers and Applications; 4.1 Introduction; 4.2 Stirling Functions s(a, k), a C; 4.2.1 Equivalent definitions; 4.2.2 Multiple sum representations. The Riemann Zeta function; 4.3 General Stirling Functions s(α, β) with Complex Arguments 4.3.1 Definition and main result4.3.2 Differentiability of the s(α, β); The zeta function encore; 4.3.3 Recurrence relations for s(α, β); 4.4 Stirling Functions of the Second Kind S(α, k); 4.4.1 Stirling functions S(a, k), a 0, and their representations by Liouville and Marchaud fractional derivatives; 4.4.2 Stirling functions S(α, k), α < 0, and their representations by Liouville fractional integrals; 4.4.3 Stirling functions S(a, k), a C, and their representations; 4.4.4 Stirling functions S(a, k), a C, and recurrence relations 4.4.5 Further properties and first applications of Stirling functions S(a, k), a C |
| Record Nr. | UNINA-9910779010803321 |
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Baleanu D (Dumitru)
|
||
| Singapore, : World Scientific Pub. Co., 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractional calculus [[electronic resource] ] : models and numerical methods / / Dumitru Baleanu ... [et al.]
| Fractional calculus [[electronic resource] ] : models and numerical methods / / Dumitru Baleanu ... [et al.] |
| Autore | Baleanu D (Dumitru) |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2012 |
| Descrizione fisica | 1 online resource (426 p.) |
| Disciplina | 515.83 |
| Altri autori (Persone) | BaleanuD (Dumitru) |
| Collana | Series on complexity, nonlinearity and chaos |
| Soggetto topico |
Fractional calculus
Mathematical models |
| ISBN |
1-280-66952-7
9786613646453 981-4355-21-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; 1. Preliminaries; 1.1 Fourier and Laplace Transforms; 1.2 Special Functions and Their Properties; 1.2.1 The Gamma function and related special functions; 1.2.2 Hypergeometric functions; 1.2.3 Mittag-Leffler functions; 1.3 Fractional Operators; 1.3.1 Riemann-Liouville fractional integrals and fractional derivatives; 1.3.2 Caputo fractional derivatives; 1.3.3 Liouville fractional integrals and fractional derivatives. Marchaud derivatives; 1.3.4 Generalized exponential functions; 1.3.5 Hadamard type fractional integrals and fractional derivatives
1.3.6 Fractional integrals and fractional derivatives of a function with respect to another function1.3.7 Grunwald-Letnikov fractional derivatives; 2. A Survey of Numerical Methods for the Solution of Ordinary and Partial Fractional Differential Equations; 2.1 Approximation of Fractional Operators; 2.1.1 Methods based on quadrature theory; 2.1.2 Grunwald-Letnikov methods; 2.1.3 Lubich's fractional linear multistep methods; 2.2 Direct Methods for Fractional ODEs; 2.2.1 The basic idea; 2.2.2 Quadrature-based direct methods; 2.3 Indirect Methods for Fractional ODEs; 2.3.1 The basic idea 2.3.2 An Adams-type predictor-corrector method2.3.3 The Cao-Burrage-Abdullah approach; 2.4 Linear Multistep Methods; 2.5 Other Methods; 2.6 Methods for Terminal Value Problems; 2.7 Methods for Multi-Term FDE and Multi-Order FDS; 2.8 Extension to Fractional PDEs; 2.8.1 General formulation of the problem; 2.8.2 Examples; 3. Efficient Numerical Methods; 3.1 Methods for Ordinary Differential Equations; 3.1.1 Dealing with non-locality; 3.1.2 Parallelization of algorithms; 3.1.3 When and when not to use fractional linear multistep formulas; 3.1.4 The use of series expansions 3.1.5 Adams methods for multi-order equations3.1.6 Two classes of singular equations as application examples; 3.2 Methods for Partial Differential Equations; 3.2.1 The method of lines; 3.2.2 BDFs for time-fractional equations; 3.2.3 Other methods; 3.2.4 Methods for equations with space-fractional operators; 4. Generalized Stirling Numbers and Applications; 4.1 Introduction; 4.2 Stirling Functions s(a, k), a C; 4.2.1 Equivalent definitions; 4.2.2 Multiple sum representations. The Riemann Zeta function; 4.3 General Stirling Functions s(α, β) with Complex Arguments 4.3.1 Definition and main result4.3.2 Differentiability of the s(α, β); The zeta function encore; 4.3.3 Recurrence relations for s(α, β); 4.4 Stirling Functions of the Second Kind S(α, k); 4.4.1 Stirling functions S(a, k), a 0, and their representations by Liouville and Marchaud fractional derivatives; 4.4.2 Stirling functions S(α, k), α < 0, and their representations by Liouville fractional integrals; 4.4.3 Stirling functions S(a, k), a C, and their representations; 4.4.4 Stirling functions S(a, k), a C, and recurrence relations 4.4.5 Further properties and first applications of Stirling functions S(a, k), a C |
| Record Nr. | UNINA-9910816788503321 |
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Baleanu D (Dumitru)
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||
| Singapore, : World Scientific Pub. Co., 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractional calculus [[electronic resource] ] : an introduction for physicists / / Richard Herrmann
| Fractional calculus [[electronic resource] ] : an introduction for physicists / / Richard Herrmann |
| Autore | Herrmann Richard |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2011 |
| Descrizione fisica | 1 online resource (274 p.) |
| Disciplina | 515.83 |
| Soggetto topico | Fractional calculus |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-14870-6
9786613148704 981-4340-25-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword; Acknowledgments; Contents; 1. Introduction; 2. Functions; 3. The Fractional Derivative; 4. Friction Forces; 5. Fractional Calculus; 6. The Fractional Harmonic Oscillator; 7. Wave Equations and Parity; 8. Nonlocality and Memory Effects; 9. Quantum Mechanics; 10. Fractional Spin: a Property of Particles Described with the Fractional Schr ̈odinger Equation; 11. Factorization; 12. Symmetries; 13. The Fractional Symmetric Rigid Rotor; 14. q-deformed Lie Algebras and Fractional Calculus; 15. Fractional Spectroscopy of Hadrons; 16. Higher Dimensional Fractional Rotation Groups
17. Fractors: Fractional Tensor Calculus18. Fractional Fields; 19. Gauge Invariance in Fractional Field Theories; 20. Outlook; Bibliography; Index |
| Record Nr. | UNINA-9910461293903321 |
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Herrmann Richard
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| Singapore ; ; Hackensack, N.J., : World Scientific, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractional calculus [[electronic resource] ] : an introduction for physicists / / Richard Herrmann
| Fractional calculus [[electronic resource] ] : an introduction for physicists / / Richard Herrmann |
| Autore | Herrmann Richard |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2011 |
| Descrizione fisica | 1 online resource (274 p.) |
| Disciplina | 515.83 |
| Soggetto topico | Fractional calculus |
| ISBN |
1-283-14870-6
9786613148704 981-4340-25-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword; Acknowledgments; Contents; 1. Introduction; 2. Functions; 3. The Fractional Derivative; 4. Friction Forces; 5. Fractional Calculus; 6. The Fractional Harmonic Oscillator; 7. Wave Equations and Parity; 8. Nonlocality and Memory Effects; 9. Quantum Mechanics; 10. Fractional Spin: a Property of Particles Described with the Fractional Schr ̈odinger Equation; 11. Factorization; 12. Symmetries; 13. The Fractional Symmetric Rigid Rotor; 14. q-deformed Lie Algebras and Fractional Calculus; 15. Fractional Spectroscopy of Hadrons; 16. Higher Dimensional Fractional Rotation Groups
17. Fractors: Fractional Tensor Calculus18. Fractional Fields; 19. Gauge Invariance in Fractional Field Theories; 20. Outlook; Bibliography; Index |
| Record Nr. | UNINA-9910789409903321 |
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Herrmann Richard
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| Singapore ; ; Hackensack, N.J., : World Scientific, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fractional calculus [[electronic resource] ] : an introduction for physicists / / Richard Herrmann
| Fractional calculus [[electronic resource] ] : an introduction for physicists / / Richard Herrmann |
| Autore | Herrmann Richard |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, N.J., : World Scientific, c2011 |
| Descrizione fisica | 1 online resource (274 p.) |
| Disciplina | 515.83 |
| Soggetto topico | Fractional calculus |
| ISBN |
1-283-14870-6
9786613148704 981-4340-25-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword; Acknowledgments; Contents; 1. Introduction; 2. Functions; 3. The Fractional Derivative; 4. Friction Forces; 5. Fractional Calculus; 6. The Fractional Harmonic Oscillator; 7. Wave Equations and Parity; 8. Nonlocality and Memory Effects; 9. Quantum Mechanics; 10. Fractional Spin: a Property of Particles Described with the Fractional Schr ̈odinger Equation; 11. Factorization; 12. Symmetries; 13. The Fractional Symmetric Rigid Rotor; 14. q-deformed Lie Algebras and Fractional Calculus; 15. Fractional Spectroscopy of Hadrons; 16. Higher Dimensional Fractional Rotation Groups
17. Fractors: Fractional Tensor Calculus18. Fractional Fields; 19. Gauge Invariance in Fractional Field Theories; 20. Outlook; Bibliography; Index |
| Record Nr. | UNINA-9910809011103321 |
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Herrmann Richard
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| Singapore ; ; Hackensack, N.J., : World Scientific, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The fractional calculus : theory and applications of differentiation and integration to arbitrary order / Keith B. Oldham and Jerom Spanier
| The fractional calculus : theory and applications of differentiation and integration to arbitrary order / Keith B. Oldham and Jerom Spanier |
| Autore | Oldham, Keith B. |
| Pubbl/distr/stampa | Mineola, N.Y. : Dover Publications, 2006 |
| Descrizione fisica | xvii, 234 p. : ill. ; 22 cm |
| Disciplina | 515.83 |
| Altri autori (Persone) | Spanier, Jerome |
| Soggetto topico | Fractional calculus |
| ISBN | 0486450015 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000345649707536 |
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Oldham, Keith B.
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| Mineola, N.Y. : Dover Publications, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Fractional Calculus : Theory and Applications / / Francesco Mainardi, editor
| Fractional Calculus : Theory and Applications / / Francesco Mainardi, editor |
| Pubbl/distr/stampa | Basel, Switzerland : , : MDPI, , 2018 |
| Descrizione fisica | 1 online resource (208 pages) |
| Disciplina | 515.83 |
| Soggetto topico | Fractional calculus |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Fractional Calculus |
| Record Nr. | UNINA-9910674383403321 |
| Basel, Switzerland : , : MDPI, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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