The Fractional Laplacian

The Fractional Laplacian  eBooks & eLearning

Posted by roxul at April 6, 2016
The Fractional Laplacian

C. Pozrikidis, "The Fractional Laplacian"
English | ISBN: 1498746152 | 2016 | 294 pages | PDF | 9 MB
An Introduction to the Fractional Calculus and Fractional Differential Equations [Repost]

An Introduction to the Fractional Calculus and Fractional Differential Equations by Kenneth S. Miller
English | 6 July 1993 | ISBN: 0471588849 | 376 Pages | PDF | 10 MB

Commences with the historical development of fractional calculus, its mathematical theory–particularly the Riemann-Liouville version. Numerous examples and theoretical applications of the theory are presented. Features topics associated with fractional differential equations.

Fractal Physiology and the Fractional Calculus  

Posted by AlenMiler at April 8, 2015
Fractal Physiology and the Fractional Calculus

Fractal Physiology and the Fractional Calculus: A Perspective by Bruce West
English | April 7, 2015 | ASIN: B00VSIR7UO | 58 Pages | AZW3/MOBI/EPUB/PDF (conv) | 4.25 MB

This paper presents a restricted overview of Fractal Physiology focusing on the complexity of the human body and the characterization of that complexity through fractal measures and their dynamics, with fractal dynamics being described by the fractional calculus.

Advanced Methods in the Fractional Calculus of Variations  

Posted by Underaglassmoon at Feb. 19, 2015
Advanced Methods in the Fractional Calculus of Variations

Advanced Methods in the Fractional Calculus of Variations
Springer | Robotics & Automation, Applied & Pure Mathematics, Calculus | Feb. 5 2015 | ISBN-10: 3319147552 | 135 pages | pdf | 3.01 mb

This brief presents a general unifying perspective on the fractional calculus. It brings together results of several recent approaches in generalizing the least action principle and the Euler–Lagrange equations to include fractional derivatives.
The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order

Keith B Oldham and Jerome Spanier, "The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order"
English | ISBN: 0486450015 | 2006 | 256 pages | DJVU | 4 MB
An Introduction to the Fractional Calculus and Fractional Differential Equations

Kenneth S. Miller, Bertram Ross, "An Introduction to the Fractional Calculus and Fractional Differential Equations"
English | 1993 | ISBN: 0471588849 | PDF | pages: 376 | 10,8 mb
The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167) (Annals of Mathematics Studies) (repost)

The Hypoelliptic Laplacian and Ray-Singer Metrics. (AM-167) (Annals of Mathematics Studies) by Jean-Michel Bismut and Gilles Lebeau
English | August 18, 2008 | ISBN: 0691137323 , 0691137315 | Pages: 376 | PDF | 2.7 MB

This book presents the analytic foundations to the theory of the hypoelliptic Laplacian. The hypoelliptic Laplacian, a second-order operator acting on the cotangent bundle of a compact manifold, is supposed to interpolate between the classical Laplacian and the geodesic flow.

Nonlocal Diffusion and Applications  eBooks & eLearning

Posted by Underaglassmoon at June 18, 2016
Nonlocal Diffusion and Applications

Nonlocal Diffusion and Applications
Springer | Mathematics | May 10 2016 | ISBN-10: 3319287389 | 155 pages | pdf | 1.9 mb

Authors: Bucur, Claudia, Valdinoci, Enrico
Gives a rich introduction to the fractional Laplacian and its applications
Well explained, self-contained and easy to follow, even for those who are not familiar with the subject
Contains brand new and interesting research trends on the fractional Laplacian

Hypoelliptic Laplacian and Orbital Integrals (repost)  

Posted by interes at March 25, 2014
Hypoelliptic Laplacian and Orbital Integrals (repost)

Hypoelliptic Laplacian and Orbital Integrals (Annals of Mathematics Studies, Vol. 177) by Jean-Michel Bismut
English | ISBN: 069115130X, 0691151296 | 2011 | 320 pages | PDF | 1,7 MB

This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula. The hypoelliptic Laplacian is a family of operators that is supposed to interpolate between the ordinary Laplacian and the geodesic flow. It is essentially the weighted sum of a harmonic oscillator along the fiber of the tangent bundle, and of the generator of the geodesic flow.

Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications  eBooks & eLearning

Posted by Underaglassmoon at Sept. 23, 2016
Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications

Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications
Wiley | Applied Mathematics | Aug 29 2016 | ISBN-10: 111900411X | 272 pages | pdf | 6.51 mb

by Snehashish Chakraverty (Author), Smita Tapaswini (Author), Diptiranjan Behera (Author)