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Fractional differential equations : an approach via fractional derivatives / / Bangti Jin
| Fractional differential equations : an approach via fractional derivatives / / Bangti Jin |
| Autore | Jin Bangti |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (377 pages) |
| Disciplina | 515.35 |
| Collana | Applied Mathematical Sciences |
| Soggetto topico |
Fractional differential equations
Equacions diferencials |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-76043-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Acronyms -- Part I Preliminaries -- 1 Continuous Time Random Walk -- 1.1 Random Walk on a Lattice -- 1.2 Continuous Time Random Walk -- 1.3 Simulating Continuous Time Random Walk -- 2 Fractional Calculus -- 2.1 Gamma Function -- 2.2 Riemann-Liouville Fractional Integral -- 2.3 Fractional Derivatives -- 2.3.1 Riemann-Liouville fractional derivative -- 2.3.2 Djrbashian-Caputo fractional derivative -- 2.3.3 Grünwald-Letnikov fractional derivative -- 3 Mittag-Leffler and Wright Functions -- 3.1 Mittag-Leffler Function -- 3.1.1 Basic analytic properties -- 3.1.2 Mittag-Leffler function Eα,1(-x) -- 3.2 Wright Function -- 3.2.1 Basic analytic properties -- 3.2.2 Wright function Wρ,µ(-x) -- 3.3 Numerical Algorithms -- 3.3.1 Mittag-Leffler function Eα,β(z) -- 3.3.2 Wright function Wρ,µ(x) -- Part II Fractional Ordinary Differential Equations -- 4 Cauchy Problem for Fractional ODEs -- 4.1 Gronwall's Inequalities -- 4.2 ODEs with a Riemann-Liouville Fractional Derivative -- 4.3 ODEs with a Djrbashian-Caputo Fractional Derivative -- 5 Boundary Value Problem for Fractional ODEs -- 5.1 Green's Function -- 5.1.1 Riemann-Liouville case -- 5.1.2 Djrbashian-Caputo case -- 5.2 Variational Formulation -- 5.2.1 One-sided fractional derivatives -- 5.2.2 Two-sided mixed fractional derivatives -- 5.3 Fractional Sturm-Liouville Problem -- 5.3.1 Riemann-Liouville case -- 5.3.2 Djrbashian-Caputo case -- Part III Time-Fractional Diffusion -- 6 Subdiffusion: Hilbert Space Theory -- 6.1 Existence and Uniqueness in an Abstract Hilbert Space -- 6.2 Linear Problems with Time-Independent Coefficients -- 6.2.1 Solution representation -- 6.2.2 Existence, uniqueness and regularity -- 6.3 Linear Problems with Time-Dependent Coefficients -- 6.4 Nonlinear Subdiffusion -- 6.4.1 Lipschitz nonlinearity -- 6.4.2 Allen-Cahn equation.
6.4.3 Compressible Navier-Stokes problem -- 6.5 Maximum Principles -- 6.6 Inverse Problems -- 6.6.1 Backward subdiffusion -- 6.6.2 Inverse source problems -- 6.6.3 Determining fractional order -- 6.6.4 Inverse potential problem -- 6.7 Numerical Methods -- 6.7.1 Convolution quadrature -- 6.7.2 Piecewise polynomial interpolation -- 7 Subdiffusion: Hölder Space Theory -- 7.1 Fundamental Solutions -- 7.1.1 Fundamental solutions -- 7.1.2 Fractional θ-functions -- 7.2 Hölder Regularity in One Dimension -- 7.2.1 Subdiffusion in mathbbR -- 7.2.2 Subdiffusion in mathbbR+ -- 7.2.3 Subdiffusion on bounded intervals -- 7.3 Hölder Regularity in Multi-Dimension -- 7.3.1 Subdiffusion in mathbbRd -- 7.3.2 Subdiffusion in mathbbRd+ -- 7.3.3 Subdiffusion on bounded domains -- A Mathematical Preliminaries -- A.1 AC Spaces and Hölder Spaces -- A.1.1 AC spaces -- A.1.2 Hölder spaces -- A.2 Sobolev Spaces -- A.2.1 Lebesgue spaces -- A.2.2 Sobolev spaces -- A.2.3 Fractional Sobolev spaces -- A.2.4 s(Ω) spaces -- A.2.5 Bochner spaces -- A.3 Integral Transforms -- A.3.1 Laplace transform -- A.3.2 Fourier transform -- A.4 Fixed Point Theorems -- References -- References -- Index. |
| Record Nr. | UNINA-9910495197503321 |
Jin Bangti
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractional inequalities in Banach algebras / / George A. Anastassiou
| Fractional inequalities in Banach algebras / / George A. Anastassiou |
| Autore | Anastassiou George A. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (312 pages) |
| Disciplina | 515.35 |
| Collana | Studies in Systems, Decision and Control |
| Soggetto topico |
Fractional differential equations
Banach algebras |
| ISBN |
9783031051487
9783031051470 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910568273303321 |
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Anastassiou George A.
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fractional stochastic differential equations : applications to Covid-19 modeling / / Abdon Atangana and Seda İgret Araz
| Fractional stochastic differential equations : applications to Covid-19 modeling / / Abdon Atangana and Seda İgret Araz |
| Autore | Atangana Abdon |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (552 pages) |
| Disciplina | 519.22 |
| Collana | Industrial and Applied Mathematics |
| Soggetto topico |
Stochastic differential equations
Fractional differential equations Equacions diferencials estocàstiques COVID-19 Estadística matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-19-0729-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996472037803316 |
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Atangana Abdon
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| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Fractional stochastic differential equations : applications to Covid-19 modeling / / Abdon Atangana and Seda İgret Araz
| Fractional stochastic differential equations : applications to Covid-19 modeling / / Abdon Atangana and Seda İgret Araz |
| Autore | Atangana Abdon |
| Pubbl/distr/stampa | Singapore : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (552 pages) |
| Disciplina | 519.22 |
| Collana | Industrial and Applied Mathematics |
| Soggetto topico |
Stochastic differential equations
Fractional differential equations Equacions diferencials estocàstiques COVID-19 Estadística matemàtica |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 981-19-0729-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910564695303321 |
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Atangana Abdon
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| Singapore : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fuzzy arbitrary order system : fuzzy fractional differential equations and applications / / Snehashish Chakraverty, Smita Tapaswini, Diptiranjan Behera
| Fuzzy arbitrary order system : fuzzy fractional differential equations and applications / / Snehashish Chakraverty, Smita Tapaswini, Diptiranjan Behera |
| Autore | Chakraverty Snehashish |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2016 |
| Descrizione fisica | 1 online resource (275 p.) |
| Disciplina | 515/.352 |
| Soggetto topico |
Fractional differential equations
Fuzzy mathematics Differential equations |
| ISBN |
1-119-00417-9
1-119-00413-6 1-119-00423-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; Acknowledgments; Chapter 1 Preliminaries of Fuzzy Set Theory; Bibliography; Chapter 2 Basics of Fractional and Fuzzy Fractional Differential Equations; Bibliography; Chapter 3 Analytical Methods for Fuzzy Fractional Differential Equations (FFDES); 3.1 n-Term Linear Fuzzy Fractional Linear Differential Equations; 3.2 Proposed Methods; Bibliography; Chapter 4 Numerical Methods for Fuzzy Fractional Differential Equations; 4.1 Homotopy Perturbation Method (HPM); 4.2 Adomian Decomposition Method (ADM); 4.3 Variational Iteration Method (VIM)
BibliographyChapter 5 Fuzzy Fractional Heat Equations; 5.1 Arbitrary-Order Heat Equation; 5.2 Solution of Fuzzy Arbitrary-Order Heat Equations by HPM; 5.3 Numerical Examples; 5.4 Numerical Results; Bibliography; Chapter 6 Fuzzy Fractional Biomathematical Applications; 6.1 Fuzzy Arbitrary-Order Predator-Prey Equations; 6.1.1 Particular Case; 6.2 Numerical Results of Fuzzy Arbitrary-Order Predator-Prey Equations; Bibliography; Chapter 7 Fuzzy Fractional Chemical Problems; 7.1 Arbitrary-Order Rossler's Systems; 7.2 HPM Solution of Uncertain Arbitrary-Order Rossler's System; 7.3 Particular Case 7.3.1 Special Case7.4 Numerical Results; Bibliography; Chapter 8 Fuzzy Fractional Structural Problems; 8.1 Fuzzy Fractionally Damped Discrete System; 8.2 Uncertain Response Analysis; 8.2.1 Uncertain Step Function Response; 8.2.2 Uncertain Impulse Function Response; 8.3 Numerical Results; 8.3.1 Case Studies for Uncertain Step Function Response; 8.3.2 Case Studies for Uncertain Impulse Function Response; 8.4 Fuzzy Fractionally Damped Continuous System; 8.5 Uncertain Response Analysis; 8.5.1 Unit step Function Response; 8.5.2 Unit Impulse Function Response; 8.6 Numerical Results 8.6.1 Case Studies for Fuzzy Unit Step Response8.6.2 Case Studies for Fuzzy Unit Impulse Response; Bibliography; Chapter 9 Fuzzy Fractional Diffusion Problems; 9.1 Fuzzy Fractional-Order Diffusion Equation; 9.1.1 Double-Parametric-Based Solution of Uncertain Fractional-Order Diffusion Equation; 9.1.2 Solution Bounds for Different External Forces; 9.2 Numerical Results of Fuzzy Fractional Diffusion Equation; Bibliography; Chapter 10 Uncertain Fractional Fornberg-Whitham Equations; 10.1 Parametric-Based Interval Fractional Fornberg-Whitham Equation; 10.2 Solution by VIM 10.3 Solution Bounds for Different Interval Initial Conditions10.4 Numerical Results; Bibliography; Chapter 11 Fuzzy Fractional Vibration Equation of Large Membrane; 11.1 Double-Parametric-Based Solution of Uncertain Vibration Equation of Large Membrane; 11.2 Solutions of Fuzzy Vibration Equation of Large Membrane; 11.3 Case Studies (Solution Bounds for Particular Cases); 11.4 Numerical Results for Fuzzy Fractional Vibration Equation for Large Membrane; Bibliography; Chapter 12 Fuzzy Fractional Telegraph Equations; 12.1 Double-Parametric-Based Fuzzy Fractional Telegraph Equations 12.2 Solutions of Fuzzy Telegraph Equations Using Homotopy Perturbation Method |
| Record Nr. | UNINA-9910135037603321 |
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Chakraverty Snehashish
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| Hoboken, New Jersey : , : Wiley, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fuzzy arbitrary order system : fuzzy fractional differential equations and applications / / Snehashish Chakraverty, Smita Tapaswini, Diptiranjan Behera
| Fuzzy arbitrary order system : fuzzy fractional differential equations and applications / / Snehashish Chakraverty, Smita Tapaswini, Diptiranjan Behera |
| Autore | Chakraverty Snehashish |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2016 |
| Descrizione fisica | 1 online resource (275 p.) |
| Disciplina | 515/.352 |
| Soggetto topico |
Fractional differential equations
Fuzzy mathematics Differential equations |
| ISBN |
1-119-00417-9
1-119-00413-6 1-119-00423-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; Acknowledgments; Chapter 1 Preliminaries of Fuzzy Set Theory; Bibliography; Chapter 2 Basics of Fractional and Fuzzy Fractional Differential Equations; Bibliography; Chapter 3 Analytical Methods for Fuzzy Fractional Differential Equations (FFDES); 3.1 n-Term Linear Fuzzy Fractional Linear Differential Equations; 3.2 Proposed Methods; Bibliography; Chapter 4 Numerical Methods for Fuzzy Fractional Differential Equations; 4.1 Homotopy Perturbation Method (HPM); 4.2 Adomian Decomposition Method (ADM); 4.3 Variational Iteration Method (VIM)
BibliographyChapter 5 Fuzzy Fractional Heat Equations; 5.1 Arbitrary-Order Heat Equation; 5.2 Solution of Fuzzy Arbitrary-Order Heat Equations by HPM; 5.3 Numerical Examples; 5.4 Numerical Results; Bibliography; Chapter 6 Fuzzy Fractional Biomathematical Applications; 6.1 Fuzzy Arbitrary-Order Predator-Prey Equations; 6.1.1 Particular Case; 6.2 Numerical Results of Fuzzy Arbitrary-Order Predator-Prey Equations; Bibliography; Chapter 7 Fuzzy Fractional Chemical Problems; 7.1 Arbitrary-Order Rossler's Systems; 7.2 HPM Solution of Uncertain Arbitrary-Order Rossler's System; 7.3 Particular Case 7.3.1 Special Case7.4 Numerical Results; Bibliography; Chapter 8 Fuzzy Fractional Structural Problems; 8.1 Fuzzy Fractionally Damped Discrete System; 8.2 Uncertain Response Analysis; 8.2.1 Uncertain Step Function Response; 8.2.2 Uncertain Impulse Function Response; 8.3 Numerical Results; 8.3.1 Case Studies for Uncertain Step Function Response; 8.3.2 Case Studies for Uncertain Impulse Function Response; 8.4 Fuzzy Fractionally Damped Continuous System; 8.5 Uncertain Response Analysis; 8.5.1 Unit step Function Response; 8.5.2 Unit Impulse Function Response; 8.6 Numerical Results 8.6.1 Case Studies for Fuzzy Unit Step Response8.6.2 Case Studies for Fuzzy Unit Impulse Response; Bibliography; Chapter 9 Fuzzy Fractional Diffusion Problems; 9.1 Fuzzy Fractional-Order Diffusion Equation; 9.1.1 Double-Parametric-Based Solution of Uncertain Fractional-Order Diffusion Equation; 9.1.2 Solution Bounds for Different External Forces; 9.2 Numerical Results of Fuzzy Fractional Diffusion Equation; Bibliography; Chapter 10 Uncertain Fractional Fornberg-Whitham Equations; 10.1 Parametric-Based Interval Fractional Fornberg-Whitham Equation; 10.2 Solution by VIM 10.3 Solution Bounds for Different Interval Initial Conditions10.4 Numerical Results; Bibliography; Chapter 11 Fuzzy Fractional Vibration Equation of Large Membrane; 11.1 Double-Parametric-Based Solution of Uncertain Vibration Equation of Large Membrane; 11.2 Solutions of Fuzzy Vibration Equation of Large Membrane; 11.3 Case Studies (Solution Bounds for Particular Cases); 11.4 Numerical Results for Fuzzy Fractional Vibration Equation for Large Membrane; Bibliography; Chapter 12 Fuzzy Fractional Telegraph Equations; 12.1 Double-Parametric-Based Fuzzy Fractional Telegraph Equations 12.2 Solutions of Fuzzy Telegraph Equations Using Homotopy Perturbation Method |
| Record Nr. | UNINA-9910809183303321 |
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Chakraverty Snehashish
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| Hoboken, New Jersey : , : Wiley, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Generalized fractional calculus : new advancements and applications / / George A. Anastassiou
| Generalized fractional calculus : new advancements and applications / / George A. Anastassiou |
| Autore | Anastassiou George A. <1952-> |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (XV, 498 p. 1 illus.) |
| Disciplina | 515.352 |
| Collana | Studies in Systems, Decision and Control |
| Soggetto topico |
Fractional calculus
Fractional differential equations Control and systems theory |
| ISBN | 3-030-56962-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Caputo ψ-fractional Ostrowski inequalities -- Caputo ψ-fractional Ostrowski and Gruss inequalities involving several functions -- Weighted Caputo fractional Iyengar type inequalities -- Generalized Canavati g-fractional Iyengar and Ostrowski inequalities -- Generalized Canavati g-fractional Polya inequalities -- Caputo generalized ψ-fractional integral type inequalities -- Generalized ψ-fractional Quantitative Approximation by Sub-linear Operators -- Generalized g–iterated fractional Quantitative Approximation by Sublinear Operators -- Generalized g–Fractional vector Representation Formula and Bochner integral type inequalities for Banach space valued functions -- Iterated g–Fractional vector Bochner integral Representation Formulae and inequalities for Banach space valued functions -- Vectorial generalized g–fractional direct and iterated Quantitative Approximation by linear operators -- Quantitative Multivariate Complex Korovkin Approximation Theory -- M-fractional integral type inequalities -- Principles of Stochastic Caputo Fractional Calculus with Fractional Approximation of Stochastic Processes -- Trigonometric Caputo Fractional Approximation of Stochastic Processes -- Trigonometric Conformable Fractional Approximation of Stochastic Processe -- Commutative Caputo Fractional Korovkin Approximation for Stochastic Processes -- Trigonometric Commutative Caputo Fractional Korovkin Approximation for Stochastic Processes -- Commutative Conformable Fractional Korovkin Approximation for Stochastic Processes -- Trigonometric Commutative Conformable Fractional Korovkin Approximation for Stochastic Processes -- Concluding Remarks. |
| Record Nr. | UNINA-9910484601703321 |
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Anastassiou George A. <1952->
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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International Conference on Fractional Differentiation and Its Applications 2014 : 23-25 June 2014, Catania, Italy / / Institute of Electrical and Electronics Engineers
| International Conference on Fractional Differentiation and Its Applications 2014 : 23-25 June 2014, Catania, Italy / / Institute of Electrical and Electronics Engineers |
| Pubbl/distr/stampa | Piscataway, New Jersey : , : Institute of Electrical and Electronics Engineers, , 2014 |
| Descrizione fisica | 1 online resource (109 pages) |
| Disciplina | 515 |
| Soggetto topico |
Fractional differential equations
Fractional calculus Differential inequalities |
| ISBN | 1-4799-2591-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996281001603316 |
| Piscataway, New Jersey : , : Institute of Electrical and Electronics Engineers, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
International Conference on Fractional Differentiation and Its Applications 2014 : 23-25 June 2014, Catania, Italy / / Institute of Electrical and Electronics Engineers
| International Conference on Fractional Differentiation and Its Applications 2014 : 23-25 June 2014, Catania, Italy / / Institute of Electrical and Electronics Engineers |
| Pubbl/distr/stampa | Piscataway, New Jersey : , : Institute of Electrical and Electronics Engineers, , 2014 |
| Descrizione fisica | 1 online resource (109 pages) |
| Disciplina | 515 |
| Soggetto topico |
Fractional differential equations
Fractional calculus Differential inequalities |
| ISBN | 1-4799-2591-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910135220903321 |
| Piscataway, New Jersey : , : Institute of Electrical and Electronics Engineers, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Nature's patterns and the fractional calculus / / Bruce J. West
| Nature's patterns and the fractional calculus / / Bruce J. West |
| Autore | West Bruce J. |
| Pubbl/distr/stampa | Leiden, Netherlands ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 |
| Descrizione fisica | 1 online resource (200 pages) : illustrations |
| Disciplina | 515.83 |
| Collana | Fractional Calculus in Applied Sciences and Engineering |
| Soggetto topico |
Fractional calculus
Fractional differential equations Mathematical models |
| Soggetto genere / forma | Electronic books. |
| ISBN |
3-11-053427-4
3-11-053513-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Foreword -- Acknowledgement -- Contents -- 1. Complexity -- 2. Empirical allometry -- 3. Statistics, scaling and simulation -- 4. Allometry theories -- 5. Strange kinetics -- 6. Fractional probability calculus -- Epilogue -- Bibliography -- Index |
| Record Nr. | UNINA-9910467576803321 |
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West Bruce J.
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| Leiden, Netherlands ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
