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Title: Optimization conditions for some fractional problems
Author: Almeida, Ricardo Miguel
Keywords: Calculus of variations
Fractional calculus
Variable order derivative,
Euler-Lagrange equation.
Issue Date: Jun-2018
Abstract: The purpose of this study is to present necessary conditions for calculus of variations problems, where the Lagrange function involves a Caputo fractional derivative with nonconstant order. The fractional operator depends on another function, and for particular choices of that function, we obtain some well-known fractional derivatives. Several necessary conditions of optimality are proven, namely the Euler–Lagrange equation
Peer review: yes
Appears in Collections:CIDMA - Comunicações
SCG - Comunicações

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