Conformable Fractional Gradient Based Dynamic System for Constrained Optimization Problem

• Authors: F. Evirgen
• Languages of publication: EN

Abstracts

EN

A conformable fractional gradient based dynamic system with a steepest descent direction is proposed in this paper for a class of nonlinear programming problems. The solutions of the dynamic system, modelled with the conformable fractional derivative are investigated to obtain the minimizing point of the optimization problem. For this purpose, we use a step variational iteration method, adapted to use a conformable integral definition. Numerical simulations and comparisons show that the conformable fractional gradient based dynamic system is both feasible and efficient for a certain class of equality constrained optimization problems. Furthermore, the step variational iteration method, combined with the conformable integral definition, is a reliable tool for solving a system of fractional differential equations.

Keywords

EN

02.60.Pn; 45.10.Hj; 31.15.Pf

Discipline

• 45.10.Hj: Perturbation and fractional calculus methods
• 02.60.Pn: Numerical optimization

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 132
• Issue: 3
• Pages: 1066-1069

Dates

published

2017-09

Contributors

author

F. Evirgen

• Balıkesir University, Department of Mathematics, Balıkesir, Turkey

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Identifiers

DOI

10.12693/APhysPolA.132.1066