The Variable-Order Fractional Calculus of Variations

• Main Authors: Almeida, Ricardo (Author, http://id.loc.gov/vocabulary/relators/aut), Tavares, Dina (http://id.loc.gov/vocabulary/relators/aut), Torres, Delfim F. M. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: SpringerBriefs in Applied Sciences and Technology,
• Subjects: Engineering mathematics.; Calculus of variations.; Calculus.; Engineering Mathematics.; Calculus of Variations and Optimal Control; Optimization.

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 d...

Table of Contents:

• Fractional Calculus
• The Calculus of Variations
• Expansion Formulas for Fractional Derivatives
• The Fractional Calculus of Variations.