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The Variable-Order Fractional Calculus of Variations

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​The Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators. This brief presents a new numerical tool for the solution of differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one, an approximation formula is obtained in terms of standard (integer-order) derivatives only. Estimations for the error of the approximations are also provided.
The contributors consider variational problems that may be subject to one or more constraints, where the functional depends on a combined Caputo derivative of variable fractional order. In particular, they establish necessary optimality conditions of Euler–Lagrange type. As the terminal point in the cost integral is free, as is the terminal state, transversality conditions are also obtained.


The Variable-Order Fractional Calculus of Variations is a valuable source of information for researchers in mathematics, physics, engineering, control and optimization; it provides both analytical and numerical methods to deal with variational problems. It is also of interest to academics and postgraduates in these fields, as it solves multiple variational problems subject to one or more constraints in a single brief.

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Inventory Code Barcode Call Number Location Status
1908001685EB0002306515.83 Alm tCentral Library (OPAC)Available
Detail Information
Series Title
SpringerBriefs in Applied Sciences and Technology
Call Number
515.83 Alm t
Publisher
Switzerland : Springer Cham.,
Collation
xiv, 124p.:Ill
Language
English
ISBN/ISSN
978-3-319-94006-9
Classification
515.83
Content Type
Ebook
Media Type
-
Carrier Type
online resource
Edition
1
Subject(s)
Calculus of variations
Specific Detail Info
-
Statement of Responsibility
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