TY: JOUR
T1 - Fractional Herglotz variational problem of variable order
A1 - Tavares, Dina
A1 - Almeida, Ricardo
A1 - Torres, Delfim F.M.
N2 - We study fractional variational problems of Herglotz type of variable
order. Necessary optimality conditions, described by fractional differential
equations depending on a combined Caputo fractional derivative of variable order,
are proved. Two different cases are considered: the fundamental problem,
with one independent variable, and the general case, with several independent
variables. We end with some illustrative examples of the results of the paper.
UR - https://ria.ua.pt/handle/10773/18543
Y1 - 2018
PB - American Institute of Mathematical Sciences (AIMS)