Variational problems of variable fractional order involving arbitrary kernels

<abstract><p>The aim of this work is to study several problems the calculus variations, where dynamics state function given by a generalized fractional derivative. This derivative combines two well-known concepts: with respect another and variable order. We present Euler–Lagrange equation, which necessary condition that every optimal solution problem must satisfy. Other are also studied: integral holonomic constraints, higher order derivatives, Herglotz variational problem.</p></abstract>