Optimality Conditions for Fractional Variational Problems with Dependence on a Combined Caputo Derivative of Variable Order

Autor:	Tavares, Dina, Almeida, Ricardo, Torres, Delfim F. M.
Rok vydání:	2015
Předmět:	Mathematics - Optimization and Control Mathematics - Classical Analysis and ODEs 26A33 34A08 49K05
Zdroj:	Optimization 64 (2015), no. 6, 1381--1391
Druh dokumentu:	Working Paper
DOI:	10.1080/02331934.2015.1010088
Popis:	We establish necessary optimality conditions for variational problems with a Lagrangian depending on a combined Caputo derivative of variable fractional order. The endpoint of the integral is free, and thus transversality conditions are proved. Several particular cases are considered illustrating the new results. Comment: This is a preprint of a paper whose final and definite form will be published in Optimization, ISSN 0233-1934 (Print), 1029-4945 (Online). Submitted 05-Feb-2014; revised 16-May, 14-July and 16-Dec-2014; accepted 08-Jan-2015
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1501.02082 Zobrazit plný text záznamu View this record from Arxiv