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Fractional equations and modelstheor...

Sandev, Trifce.

Fractional equations and modelstheory and applications /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fractional equations and modelsby Trifce Sandev, Zivorad Tomovski.
其他題名:	theory and applications /
作者:	Sandev, Trifce.
其他作者:	Tomovski, Zivorad.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	xviii, 345 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Fractional differential equations.
電子資源:	https://doi.org/10.1007/978-3-030-29614-8
ISBN:	9783030296148$q(electronic bk.)

Fractional equations and modelstheory and applications /
Sandev, Trifce.

Fractional equations and modelstheory and applications /[electronic resource] :by Trifce Sandev, Zivorad Tomovski. - Cham :Springer International Publishing :2019. - xviii, 345 p. :ill., digital ;24 cm. - Developments in mathematics,v.611389-2177 ;. - Developments in mathematics ;v.25..

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.

ISBN: 9783030296148$q(electronic bk.)

Standard No.: 10.1007/978-3-030-29614-8doiSubjects--Topical Terms:

709091
Fractional differential equations.

LC Class. No.: QA314 / .S35 2019

Dewey Class. No.: 515.35

Fractional equations and modelstheory and applications /
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505 0 $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.
520 $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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