Fractional variational problems on conformable calculus

Year 2021, Volume: 70 Issue: 2, 719 - 730, 31.12.2021

Süleyman Öğrekçi , Serkan Aslıyüce

https://doi.org/10.31801/cfsuasmas.820580

Abstract

In this paper, we deal with the variational problems defined by an integral that include fractional conformable derivative. We obtained the optimality results for variational problems with fixed end-point boundary conditions and variable end-point boundary conditions. Then, we studied on the variational problems with integral constraints and holonomic constraints, respectively.

Keywords

Conformable fractional derivative, calculus of variations, subsidiary conditions

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