%0 Journal Article
%T Generalized Isoperimetric FVPs Via Caputo Approach
%A Taïeb, Amele
%A Dahmani, Zoubir
%J Universitatis Iagellonicae Acta Mathematica
%V 2019
%R 10.4467/20843828AM.19.003.12111
%N Tom 56
%P 23-40
%K Caputo derivative, Fractional calculus of variations, isoperimetric problems
%@ 0083-4386
%D 2019
%U https://ejournals.eu/czasopismo/universitatis-iagellonicae-acta-mathematica/artykul/generalized-isoperimetric-fvps-via-caputo-approach
%X 
	In this paper, we study several fractional variational problems with functionals that contain n unknown functions with their higher order Caputo derivatives and Riemann–Liouville integrals. We prove generalized fractional Euler–Lagrange equations. We also study an isoperimetric problem with multiple constraints, and we find the optimality conditions. Some examples are provided to illustrate the applications of the results.

	2000 Mathematics Subject Classification. 49K10, 26A33, 26B20.