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|Title:||Fractional Herglotz variational problem of variable order|
Torres, Delfim F.M.
Herglotz variational problems
|Publisher:||American Institute of Mathematical Sciences (AIMS)|
|Abstract:||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.|
|Appears in Collections:||CIDMA - Artigos|
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