Advanced Methods in the Fractional Calculus of Variations

Advanced Methods in the Fractional Calculus of Variations
Author :
Publisher : Springer
Total Pages : 142
Release :
ISBN-10 : 9783319147567
ISBN-13 : 3319147560
Rating : 4/5 (560 Downloads)

Book Synopsis Advanced Methods in the Fractional Calculus of Variations by : Agnieszka B. Malinowska

Download or read book Advanced Methods in the Fractional Calculus of Variations written by Agnieszka B. Malinowska and published by Springer. This book was released on 2015-02-05 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 dependence of Lagrangians on generalized fractional operators as well as on classical derivatives is considered along with still more general problems in which integer-order integrals are replaced by fractional integrals. General theorems are obtained for several types of variational problems for which recent results developed in the literature can be obtained as special cases. In particular, the authors offer necessary optimality conditions of Euler–Lagrange type for the fundamental and isoperimetric problems, transversality conditions, and Noether symmetry theorems. The existence of solutions is demonstrated under Tonelli type conditions. The results are used to prove the existence of eigenvalues and corresponding orthogonal eigenfunctions of fractional Sturm–Liouville problems. Advanced Methods in the Fractional Calculus of Variations is a self-contained text which will be useful for graduate students wishing to learn about fractional-order systems. The detailed explanations will interest researchers with backgrounds in applied mathematics, control and optimization as well as in certain areas of physics and engineering.


Advanced Methods in the Fractional Calculus of Variations Related Books

Advanced Methods in the Fractional Calculus of Variations
Language: en
Pages: 142
Authors: Agnieszka B. Malinowska
Categories: Mathematics
Type: BOOK - Published: 2015-02-05 - Publisher: Springer

GET EBOOK

This brief presents a general unifying perspective on the fractional calculus. It brings together results of several recent approaches in generalizing the least
Introduction To The Fractional Calculus Of Variations
Language: en
Pages: 292
Authors: Delfim F M Torres
Categories: Mathematics
Type: BOOK - Published: 2012-09-14 - Publisher: World Scientific Publishing Company

GET EBOOK

This invaluable book provides a broad introduction to the fascinating and beautiful subject of Fractional Calculus of Variations (FCV). In 1996, FVC evolved in
The Variable-Order Fractional Calculus of Variations
Language: en
Pages: 135
Authors: Ricardo Almeida
Categories: Technology & Engineering
Type: BOOK - Published: 2018-06-29 - Publisher: Springer

GET EBOOK

​The Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational prob
Fractional Dynamics
Language: en
Pages: 504
Authors: Vasily E. Tarasov
Categories: Science
Type: BOOK - Published: 2011-01-04 - Publisher: Springer Science & Business Media

GET EBOOK

"Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and
Advanced Numerical Methods for Differential Equations
Language: en
Pages: 337
Authors: Harendra Singh
Categories: Technology & Engineering
Type: BOOK - Published: 2021-07-29 - Publisher: CRC Press

GET EBOOK

Mathematical models are used to convert real-life problems using mathematical concepts and language. These models are governed by differential equations whose s