| Issue |
ITM Web Conf.
Volume 22, 2018
The Third International Conference on Computational Mathematics and Engineering Sciences (CMES2018)
|
|
|---|---|---|
| Article Number | 01009 | |
| Number of page(s) | 10 | |
| DOI | https://doi.org/10.1051/itmconf/20182201009 | |
| Published online | 17 October 2018 | |
An Alternative Approach for Nonlinear Optimization Problem with Caputo - Fabrizio Derivative
1
Department of Mathematics, Balikesir University, Balikesir, Turkey
2
Department of Mathematics-Computer Sciences, Necmettin Erbakan University, Konya, Turkey
* Corresponding author: mehmetyavuz@konya.edu.tr
In this study, a fractional mathematical model with steepest descent direction is proposed to find optimal solutions for a class of nonlinear programming problem. In this sense, Caputo-Fabrizio derivative is adapted to the mathematical model. To demonstrate the solution trajectory of the mathematical model, we use the multistage variational iteration method (MVIM). Numerical simulations and comparisons on some test problems show that the mathematical model generated using Caputo-Fabrizio fractional derivative is both feasible and efficient to find optimal solutions for a certain class of equality constrained optimization problems.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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