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Advanced Methods in the Fractional Calculus of Variations by Agnieszka B. Malinowska - Paperback
949.00 EGP

Advanced Methods in the Fractional Calculus of Variations by Agnieszka B. Malinowska - Paperback

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Category Type
Mathematics
ISBN
9783319147550
Author
Various
Publisher
Springer International Publishing AG
Description:

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 ...

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PRODUCT INFORMATION

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    Specifications

    Category Type
    Mathematics
    ISBN
    9783319147550
    Item EAN
    2724444988189
    People
    Author
    Various
    People
    Publisher
    Springer International Publishing AG
    Category Type
    Mathematics
    ISBN
    9783319147550
    Item EAN
    2724444988189
    People
    Author
    Various
    People
    Publisher
    Springer International Publishing AG
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
    Read more
  •  

    Description:

    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

    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 nether 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 Eigen functions 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.

    Product Features:
    • Genre: Mathematics
    • Author: Agnieszka B. Malinowska, Tatiana Odzijewicz and Delfim F. M. Torres
    • Format: Paperback
    • Book Language: English
    • Book Origin: Switzerland
    • Publisher: Springer International Publishing AG
    • Publication Year: 2015
    • ISBN: 9783319147550
    • Number of Pages: 147
    • Product Dimensions: 23.39 x 15.6 x 0.81 cm
    • Product Weight: 240 g
 

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