Document details

An optimization condition for functionals depending on a fractional derivative with variable order

Author(s): Almeida, Ricardo

Date: 2024

Persistent ID: http://hdl.handle.net/10773/42080

Origin: RIA - Repositório Institucional da Universidade de Aveiro


Description

In this short communication, we will prove a necessary condition that any curve, which extremes a given class of functionals, must satisfy. In addition to the dependence on time and the unknown function, the Lagrange function depends on a fractional derivative with respect to another function, and the order of the derivative is a function of two variables, thus also depending on time.

Document Type Journal article
Language English
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