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arXiv · 1703.09104

Fractional Herglotz variational problems of variable order

Dina Tavares·Ricardo Almeida·Delfim F. M. Torres
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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.

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Dina Tavares, Ricardo Almeida, Delfim F. M. Torres. 2017-03-27. Fractional Herglotz variational problems of variable order. https://doi.org/10.3934/dcdss.2018009

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