Fractional Dispersive Models and Applications Recent Developments and Future Perspectives /
This book explores the role of fractional calculus and associated partial differential equations in modeling multiscale phenomena and overlapping macroscopic & microscopic scales, offering an innovative and powerful tool for modeling complex systems. While integer order PDEs have a long-standing...
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| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Lenguaje: | inglés |
| Publicado: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Edición: | 1st ed. 2024. |
| Colección: | Nonlinear Systems and Complexity,
37 |
| Materias: | |
| Acceso en línea: | https://doi.org/10.1007/978-3-031-54978-6 |
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Tabla de Contenidos:
- Chapter 1. Fractional Dispersive Models and Applications (Panayotis G. Kevrekidis)
- Chapter 2. Fractional Wave Models and Their Experimental Applications (Boris A. Malomed)
- Chapter 3. Fractional Models in Biology and Medicine (Fractional Models in Biology and Medicine)
- Chapter 4. Fractional Dissipative PDEs (Franz Achleitner)
- Chapter 5. Symmetry breaking in fractional nonlinear Schrödinger and soliton dynamics in complex Ginzburg-Landau models (Pengfei Li)
- Chapter 6. Traveling waves in fractional models (Traveling waves in fractional models)
- Chapter 7. Numerical methods for fractional PDEs (Christian Klein)
- Chapter 8. Fractional Non-Linear Quantum Analysis, Probability, Discretization, and Limits (Kay L. Kirkpatrick)
- Chapter 9. Fractional Integrable Dispersive Equations (Mark J. Ablowitz)
- Chapter 10. Fractional discrete linear and nonlinear models (Mario I. Molina)
- Chapter 11. Breathers in the fractionalFrenkel-Kontorova model (J. Catarecha).