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＜電子ブック＞
Fractional Equations and Models : Theory and Applications / by Trifce Sandev, Živorad Tomovski
(Developments in Mathematics. ISSN:2197795X ; 61)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
大きさ	XVIII, 345 p. 60 illus., 25 illus. in color : online resource
著者標目	*Sandev, Trifce author Tomovski, Živorad author SpringerLink (Online service)
件　名	LCSH:Mathematical physics LCSH:Probabilities LCSH:System theory LCSH:Differential equations LCSH:Special functions FREE:Mathematical Physics FREE:Mathematical Methods in Physics FREE:Probability Theory FREE:Complex Systems FREE:Differential Equations FREE:Special Functions
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-030-29614-8

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