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Orientador(es)
Resumo(s)
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.
Descrição
Palavras-chave
Fractional calculus Variable order Herglotz variational problems
Contexto Educativo
Citação
Editora
American Institute of Mathematical Sciences
