Fractional Equations and Models Theory and Applications
Başlık:
Fractional Equations and Models Theory and Applications
Yazar:
Sandev, Trifce. author.
ISBN:
9783030296148
Yazar:
Edisyon:
1st ed. 2019.
Fiziksel Niteleme:
XVIII, 345 p. 60 illus., 25 illus. in color. online resource.
Seri:
Developments in Mathematics, 61
İçindekiler:
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.
Özet:
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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Yazar Ek Girişi:
Ek Kurum Yazar:
Elektronik Erişim:
https://doi.org/10.1007/978-3-030-29614-8