Advanced methods in the fractional calculus of variations
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The work Advanced methods in the fractional calculus of variations represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Advanced methods in the fractional calculus of variations
Resource Information
The work Advanced methods in the fractional calculus of variations represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Advanced methods in the fractional calculus of variations
 Statement of responsibility
 Agnieszka B. Malinowska, Tatiana Odzijewicz, Delfim F.M. Torres
 Subject

 Fractional calculus
 Calculus of variations
 Electronic books
 Cybernetics & systems theory
 Mathematical modelling
 Automatic control engineering
 Calculus of variations
 MATHEMATICS  Mathematical Analysis
 Calculus of variations
 Economic theory & philosophy
 Mathematical physics
 MATHEMATICS  Calculus
 Fractional calculus
 Language
 eng
 Summary
 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 EulerĺlLagrange 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 integerorder 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 EulerĺlLagrange 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 SturmĺlLiouville problems. Advanced Methods in the Fractional Calculus of Variations is a selfcontained text which will be useful for graduate students wishing to learn about fractionalorder 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
 Cataloging source
 N$T
 Dewey number
 515/.83
 Index
 index present
 LC call number
 QA314
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 SpringerBriefs in Applied Sciences and Technology,
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