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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 |
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 |
|
Chakraverty Snehashish
|
||
| Hoboken, New Jersey : , : Wiley, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fuzzy differential equations and applications for engineers and scientists / / S. Chakraverty, Smita Tapaswini, Diptiranjan Behera
| Fuzzy differential equations and applications for engineers and scientists / / S. Chakraverty, Smita Tapaswini, Diptiranjan Behera |
| Autore | Chakraverty Snehashish |
| Pubbl/distr/stampa | Boca Raton, FL : , : CRC Press, , [2017] |
| Descrizione fisica | 1 online resource (239 pages) : illustrations, graphs |
| Disciplina | 515/.352 |
| Soggetto topico |
Differential equations
Engineering mathematics Fuzzy mathematics |
| ISBN |
1-315-35553-1
1-315-37285-1 1-4822-4476-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | chapter 1. Preliminaries of fuzzy set theory -- chapter 2. Basic concepts of fuzzy and fuzzy fractional differential equations -- chapter 3. Analytical methods of fuzzy differential equations -- chapter 4. Numerical methods for fuzzy ordinary and partial differential equations -- chapter 5. Application of numerical methods to fuzzy ordinary differential equations -- chapter 6. Fuzzy structural problems -- chapter 7. Fuzzy vibration equations of large membranes -- chapter 8. Nonprobabilistic uncertainty analysis of the forest fire model -- chapter 9. Fuzzy inverse heat conduction problems -- chapter 10. The fuzzy fractional Klein-Gordon equation. |
| Record Nr. | UNINA-9910153181103321 |
|
Chakraverty Snehashish
|
||
| Boca Raton, FL : , : CRC Press, , [2017] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||