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Analysis, modeling and stability of fractional order differential systems . 1 The infinite state approach / / Jean-Claude Trigeassou, Nezha Maamri
| Analysis, modeling and stability of fractional order differential systems . 1 The infinite state approach / / Jean-Claude Trigeassou, Nezha Maamri |
| Autore | Trigeassou Jean-Claude |
| Edizione | [First edition] |
| Pubbl/distr/stampa | London, England ; ; Hoboken, New Jersey : , : ISTE Ltd : , : Wiley, , [2019] |
| Descrizione fisica | 1 online resource (320 pages) |
| Disciplina | 515.35 |
| Collana |
Systems and industrial engineering series.
THEi Wiley ebooks. |
| Soggetto topico | Fractional differential equations |
| ISBN |
1-119-64881-5
1-119-47691-7 1-119-64884-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910555192703321 |
Trigeassou Jean-Claude
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||
| London, England ; ; Hoboken, New Jersey : , : ISTE Ltd : , : Wiley, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis, modeling and stability of fractional order differential systems . 1 The infinite state approach / / Jean-Claude Trigeassou, Nezha Maamri
| Analysis, modeling and stability of fractional order differential systems . 1 The infinite state approach / / Jean-Claude Trigeassou, Nezha Maamri |
| Autore | Trigeassou Jean-Claude |
| Edizione | [First edition] |
| Pubbl/distr/stampa | London, England ; ; Hoboken, New Jersey : , : ISTE Ltd : , : Wiley, , [2019] |
| Descrizione fisica | 1 online resource (320 pages) |
| Disciplina | 515.35 |
| Collana |
Systems and industrial engineering series.
THEi Wiley ebooks. |
| Soggetto topico | Fractional differential equations |
| ISBN |
1-119-64881-5
1-119-47691-7 1-119-64884-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910819008403321 |
|
Trigeassou Jean-Claude
|
||
| London, England ; ; Hoboken, New Jersey : , : ISTE Ltd : , : Wiley, , [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
|
Trigeassou Jean-Claude
|
||
| London : , : ISTE Limited, [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
|
Trigeassou Jean-Claude
|
||
| London : , : ISTE Limited, [2019] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Basic theory of fractional differential equations / / Yong Zhou (Xiangtan University, China), JinRong Wang (Guizhou University, China), Lu Zhang (Xiangtan University, China)
| 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 |
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Zhou Yong <1964->
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| New Jersey : , : World Scientific, , [2017] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Computational fractional dynamical systems : fractional differential equations and applications / / Snehashish Chakraverty, Rajarama Mohan Jena and Subrat Kumar Jena
| Computational fractional dynamical systems : fractional differential equations and applications / / Snehashish Chakraverty, Rajarama Mohan Jena and Subrat Kumar Jena |
| Autore | Chakraverty Snehashish |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , [2023] |
| Descrizione fisica | 1 online resource (268 pages) |
| Disciplina | 515.35 |
| Soggetto topico |
Fractional differential equations
Differential equations Integral operators |
| ISBN |
1-119-69706-9
1-119-69683-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Acknowledgments -- About the Authors -- Chapter 1 Introduction to Fractional Calculus -- 1.1 Introduction -- 1.2 Birth of Fractional Calculus -- 1.3 Useful Mathematical Functions -- 1.3.1 The Gamma Function -- 1.3.2 The Beta Function -- 1.3.3 The Mittag-Leffler Function -- 1.3.4 The Mellin-Ross Function -- 1.3.5 The Wright Function -- 1.3.6 The Error Function -- 1.3.7 The Hypergeometric Function -- 1.3.8 The H-Function -- 1.4 Riemann-Liouville (R-L) Fractional Integral and Derivative -- 1.5 Caputo Fractional Derivative -- 1.6 Grünwald-Letnikov Fractional Derivative and Integral -- 1.7 Riesz Fractional Derivative and Integral -- 1.8 Modified Riemann-Liouville Derivative -- 1.9 Local Fractional Derivative -- 1.9.1 Local Fractional Continuity of a Function -- 1.9.2 Local Fractional Derivative -- References -- Chapter 2 Recent Trends in Fractional Dynamical Models and Mathematical Methods -- 2.1 Introduction -- 2.2 Fractional Calculus: A Generalization of Integer-Order Calculus -- 2.3 Fractional Derivatives of Some Functions and Their Graphical Illustrations -- 2.4 Applications of Fractional Calculus -- 2.4.1 N.H. Abel and Tautochronous problem -- 2.4.2 Ultrasonic Wave Propagation in Human Cancellous Bone -- 2.4.3 Modeling of Speech Signals Using Fractional Calculus -- 2.4.4 Modeling the Cardiac Tissue Electrode Interface Using Fractional Calculus -- 2.4.5 Application of Fractional Calculus to the Sound Waves Propagation in Rigid Porous Materials -- 2.4.6 Fractional Calculus for Lateral and Longitudinal Control of Autonomous Vehicles -- 2.4.7 Application of Fractional Calculus in the Theory of Viscoelasticity -- 2.4.8 Fractional Differentiation for Edge Detection -- 2.4.9 Wave Propagation in Viscoelastic Horns Using a Fractional Calculus Rheology Model.
2.4.10 Application of Fractional Calculus to Fluid Mechanics -- 2.4.11 Radioactivity, Exponential Decay, and Population Growth -- 2.4.12 The Harmonic Oscillator -- 2.5 Overview of Some Analytical/Numerical Methods -- 2.5.1 Fractional Adams-Bashforth/Moulton Methods -- 2.5.2 Fractional Euler Method -- 2.5.3 Finite Difference Method -- 2.5.4 Finite Element Method -- 2.5.5 Finite Volume Method -- 2.5.6 Meshless Method -- 2.5.7 Reproducing Kernel Hilbert Space Method -- 2.5.8 Wavelet Method -- 2.5.9 The Sine-Gordon Expansion Method -- 2.5.10 The Jacobi Elliptic Equation Method -- 2.5.11 The Generalized Kudryashov Method -- References -- Chapter 3 Adomian Decomposition Method -- 3.1 Introduction -- 3.2 Basic Idea of ADM -- 3.3 Numerical Examples -- References -- Chapter 4 Adomian Decomposition Transform Method -- 4.1 Introduction -- 4.2 Transform Methods for the Caputo Sense Derivatives -- 4.3 Adomian Decomposition Laplace Transform Method (ADLTM) -- 4.4 Adomian Decomposition Sumudu Transform Method (ADSTM) -- 4.5 Adomian Decomposition Elzaki Transform Method (ADETM) -- 4.6 Adomian Decomposition Aboodh Transform Method (ADATM) -- 4.7 Numerical Examples -- 4.7.1 Implementation of ADLTM -- 4.7.2 Implementation of ADSTM -- 4.7.3 Implementation of ADETM -- 4.7.4 Implementation of ADATM -- References -- Chapter 5 Homotopy Perturbation Method -- 5.1 Introduction -- 5.2 Procedure for HPM -- 5.3 Numerical Examples -- References -- Chapter 6 Homotopy Perturbation Transform Method -- 6.1 Introduction -- 6.2 Transform Methods for the Caputo Sense Derivatives -- 6.3 Homotopy Perturbation Laplace Transform Method (HPLTM) -- 6.4 Homotopy Perturbation Sumudu Transform Method (HPSTM) -- 6.5 Homotopy Perturbation Elzaki Transform Method (HPETM) -- 6.6 Homotopy Perturbation Aboodh Transform Method (HPATM) -- 6.7 Numerical Examples -- 6.7.1 Implementation of HPLTM. 6.7.2 Implementation of HPSTM -- 6.7.3 Implementation of HPETM -- 6.7.4 Implementation of HPATM -- References -- Chapter 7 Fractional Differential Transform Method -- 7.1 Introduction -- 7.2 Fractional Differential Transform Method -- 7.3 Illustrative Examples -- References -- Chapter 8 Fractional Reduced Differential Transform Method -- 8.1 Introduction -- 8.2 Description of FRDTM -- 8.3 Numerical Examples -- References -- Chapter 9 Variational Iterative Method -- 9.1 Introduction -- 9.2 Procedure for VIM -- 9.3 Examples -- References -- Chapter 10 Weighted Residual Methods -- 10.1 Introduction -- 10.2 Collocation Method -- 10.3 Least-Square Method -- 10.4 Galerkin Method -- 10.5 Numerical Examples -- References -- Chapter 11 Boundary Characteristic Orthogonal Polynomials -- 11.1 Introduction -- 11.2 Gram-Schmidt Orthogonalization Procedure -- 11.3 Generation of BCOPs -- 11.4 Galerkin Method with BCOPs -- 11.5 Least-Square Method with BCOPs -- 11.6 Application Problems -- References -- Chapter 12 Residual Power Series Method -- 12.1 Introduction -- 12.2 Theorems and Lemma Related to RPSM -- 12.3 Basic Idea of RPSM -- 12.4 Convergence Analysis -- 12.5 Examples -- References -- Chapter 13 Homotopy Analysis Method -- 13.1 Introduction -- 13.2 Theory of Homotopy Analysis Method -- 13.3 Convergence Theorem of HAM -- 13.4 Test Examples -- References -- Chapter 14 Homotopy Analysis Transform Method -- 14.1 Introduction -- 14.2 Transform Methods for the Caputo Sense Derivative -- 14.3 Homotopy Analysis Laplace Transform Method (HALTM) -- 14.4 Homotopy Analysis Sumudu Transform Method (HASTM) -- 14.5 Homotopy Analysis Elzaki Transform Method (HAETM) -- 14.6 Homotopy Analysis Aboodh Transform Method (HAATM) -- 14.7 Numerical Examples -- 14.7.1 Implementation of HALTM -- 14.7.2 Implementation of HASTM -- 14.7.3 Implementation of HAETM. 14.7.4 Implementation of HAATM -- References -- Chapter 15 q-Homotopy Analysis Method -- 15.1 Introduction -- 15.2 Theory of q-HAM -- 15.3 Illustrative Examples -- References -- Chapter 16 q-Homotopy Analysis Transform Method -- 16.1 Introduction -- 16.2 Transform Methods for the Caputo Sense Derivative -- 16.3 q-Homotopy Analysis Laplace Transform Method (q-HALTM) -- 16.4 q-Homotopy Analysis Sumudu Transform Method (q-HASTM) -- 16.5 q-Homotopy Analysis Elzaki Transform Method (q-HAETM) -- 16.6 q-Homotopy Analysis Aboodh Transform Method (q-HAATM) -- 16.7 Test Problems -- 16.7.1 Implementation of q-HALTM -- 16.7.2 Implementation of q-HASTM -- 16.7.3 Implementation of q-HAETM -- 16.7.4 Implementation of q-HAATM -- References -- Chapter 17 (G/G)-Expansion Method -- 17.1 Introduction -- 17.2 Description of the (G/G)-Expansion Method -- 17.3 Application Problems -- References -- Chapter 18 (G/G2)-Expansion Method -- 18.1 Introduction -- 18.2 Description of the (G/G2)-Expansion Method -- 18.3 Numerical Examples -- References -- Chapter 19 (G/G, 1/G)-Expansion Method -- 19.1 Introduction -- 19.2 Algorithm of the (G/G,1/G)-Expansion Method -- 19.3 Illustrative Examples -- References -- Chapter 20 The Modified Simple Equation Method -- 20.1 Introduction -- 20.2 Procedure of the Modified Simple Equation Method -- 20.3 Application Problems -- References -- Chapter 21 Sine-Cosine Method -- 21.1 Introduction -- 21.2 Details of the Sine-Cosine Method -- 21.3 Numerical Examples -- References -- Chapter 22 Tanh Method -- 22.1 Introduction -- 22.2 Description of the Tanh Method -- 22.3 Numerical Examples -- References -- Chapter 23 Fractional Subequation Method -- 23.1 Introduction -- 23.2 Implementation of the Fractional Subequation Method -- 23.3 Numerical Examples -- References -- Chapter 24 Exp-Function Method -- 24.1 Introduction. 24.2 Procedure of the Exp-Function Method -- 24.3 Numerical Examples -- References -- Chapter 25 Exp(−φ(ξ))-Expansion Method -- 25.1 Introduction -- 25.2 Methodology of the Exp(−φ(ξ))-Expansion Method -- 25.3 Numerical Examples -- References -- Index -- EULA. |
| Record Nr. | UNINA-9910677817303321 |
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Chakraverty Snehashish
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| Hoboken, New Jersey : , : Wiley, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Craft of Fractional Modelling in Science and Engineering / / Jordan Hristov
| Craft of Fractional Modelling in Science and Engineering / / Jordan Hristov |
| Autore | Hristov Jordan |
| Pubbl/distr/stampa | Basel : , : MDPI, , 2018 |
| Descrizione fisica | 1 online resource (ix, 126 pages) |
| Disciplina | 515.35 |
| Soggetto topico | Fractional differential equations |
| ISBN | 3-03842-984-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910688456703321 |
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Hristov Jordan
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| Basel : , : MDPI, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Discrete fractional calculus and fractional difference equations / / Rui A. C. Ferreira
| Discrete fractional calculus and fractional difference equations / / Rui A. C. Ferreira |
| Autore | Ferreira Rui A. C. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (95 pages) |
| Disciplina | 515.35 |
| Collana | SpringerBriefs in mathematics |
| Soggetto topico |
Fractional differential equations
Fractional calculus Càlcul fraccional Equacions diferencials |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030927240
9783030927233 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466418703316 |
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Ferreira Rui A. C.
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Discrete fractional calculus and fractional difference equations / / Rui A. C. Ferreira
| Discrete fractional calculus and fractional difference equations / / Rui A. C. Ferreira |
| Autore | Ferreira Rui A. C. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (95 pages) |
| Disciplina | 515.35 |
| Collana | SpringerBriefs in mathematics |
| Soggetto topico |
Fractional differential equations
Fractional calculus Càlcul fraccional Equacions diferencials |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030927240
9783030927233 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910552742603321 |
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Ferreira Rui A. C.
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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. | UNISA-996466415303316 |
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Jin Bangti
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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