@article{Almeida2022, 
author = {Ricardo Almeida},
title = {Variational problems of variable fractional order involving arbitrary kernels},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {10},
pages = {18690-18707},
keywords = {fractional calculus, calculus of variations, variable-order fractional derivative},
url = {https://www.sciopen.com/article/10.3934/math.20221028},
doi = {10.3934/math.20221028},
abstract = {The aim of this work is to study several problems of the calculus of variations, where the dynamics of the state function is given by a generalized fractional derivative. This derivative combines two well-known concepts: fractional derivative with respect to another function and fractional derivative of variable order. We present the Euler–Lagrange equation, which is a necessary condition that every optimal solution of the problem must satisfy. Other problems are also studied: with integral and holonomic constraints, with higher order derivatives, and the Herglotz variational problem.}
}