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20082018
most citedA Caputo fractional derivative of a function with respect to another function

1.3k citations · 3.4k across the 45 of their papers we have counts for

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Showing 2017 · math.OCShow all

3 papers · 2 filters

math.OC2017★ 23 cited

Combined Fractional Variational Problems of Variable Order and Some Computational Aspects

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

We study two generalizations of fractional variational problems by considering higher-order derivatives and a state time delay. We prove a higher-order integration by parts formula…

math.OC2017★ 14 cited

Fractional Herglotz variational problems of variable order

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

We study fractional variational problems of Herglotz type of variable order. Necessary optimality conditions, described by fractional differential equations depending on a combined…

math.OC2017

Optimality conditions for fractional variational problems with free terminal time

Ricardo Almeida

This paper provides necessary and sufficient conditions of optimality for variational problems that deal with a fractional derivative with respect to another function. Fractional E…