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191202 ||| eng |
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|a 9783030296148
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| 100 |
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|a Sandev, Trifce
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| 245 |
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|a Fractional Equations and Models
|h Elektronische Ressource
|b Theory and Applications
|c by Trifce Sandev, Živorad Tomovski
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| 250 |
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|a 1st ed. 2019
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2019, 2019
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| 300 |
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|a XVIII, 345 p. 60 illus., 25 illus. in color
|b online resource
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| 505 |
0 |
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|a 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
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| 653 |
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|a Mathematical Methods in Physics
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| 653 |
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|a Special Functions
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| 653 |
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|a Mathematical Physics
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| 653 |
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|a System theory
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| 653 |
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|a Partial Differential Equations
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| 653 |
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|a Mathematical physics
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| 653 |
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|a Complex Systems
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| 653 |
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|a Physics
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| 653 |
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|a Partial differential equations
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| 653 |
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|a Probability Theory and Stochastic Processes
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| 653 |
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|a Special functions
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| 653 |
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|a Probabilities
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| 700 |
1 |
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|a Tomovski, Živorad
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a Developments in Mathematics
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-030-29614-8?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 530.15
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| 520 |
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|a 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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