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Fractional equations and models : theory and applications
- 作者: Sandev, Trifce, author.
- 其他作者:
- 其他題名:
- Developments in mathematics ;
- 出版: Cham : Springer International Publishing :Imprint: Springer
- 叢書名: Developments in mathematics,volume 61
- 主題: Fractional differential equations. , Fractional calculus. , Mathematical Physics. , Mathematical Methods in Physics. , Probability Theory and Stochastic Processes. , Complex Systems. , Partial Differential Equations. , Special Functions.
- ISBN: 9783030296148 (electronic bk.) 、 9783030296131 (paper)
- FIND@SFXID: CGU
- 資料類型: 電子書
- 內容註: Introduction: Mittag-Leffler and Other Related Functions -- Generalized Differential and Integral Operators -- Cauchy Type Problems -- Fractional Diffusion and Fokker-Planck Equations -- Fractional Wave Equations -- Generalized Langevin Equation -- Fractional Generalized Langevin Equation -- Appendix A: Completely monotone, Bernstein and Stieltjes Functions -- Appendix B: Tauberian Theorems.
- 摘要註: Fractional equations and models play an essential part in the description of anomalous dynamics in complex systems. Recent developments in the modeling of various physical, chemical and biological systems have clearly shown that fractional calculus is not just an exotic mathematical theory, as it might have once seemed. The present book seeks to demonstrate this using various examples of equations and models with fractional and generalized operators. Intended for students and researchers in mathematics, physics, chemistry, biology and engineering, it systematically offers a wealth of useful tools for fractional calculus.
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讀者標籤:
- 系統號: 005468066 | 機讀編目格式