An alternative approach for nonlinear optimization problem with Caputo-Fabrizio derivative

F Evirgen, M Yavuz - ITM Web of Conferences, 2018 - itm-conferences.org
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 …

Analyze the optimal solutions of optimization problems by means of fractional gradient based system using VIM

F Evirgen - An International Journal of Optimization and Control …, 2016 - ijocta.org
In this paper, a class of Nonlinear Programming problem is modeled with gradient based
system of fractional order differential equations in Caputo's sense. To see the overlap …

Conformable fractional gradient based dynamic system for constrained optimization problem

F Evirgen - 2017 - dspace.balikesir.edu.tr
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 …

Multistage adomian decomposition method for solving NLP problems over a nonlinear fractional dynamical system

F Evirgen, N Özdemir - 2011 - asmedigitalcollection.asme.org
This paper deals with implementation of the multistage Adomian decomposition method
(MADM) to solve a class of nonlinear programming (NLP) problems, which are reformulated …

A fractional order dynamical trajectory approach for optimization problem with HPM

F Evirgen, N Özdemir - Fractional Dynamics and Control, 2011 - Springer
In this paper, the homotopy perturbation method (HPM) is applied to solve nonlinear
programming (NLP) problem on the basis of the fractional order differential equations …

Analytical solution of nonlinear fractional gradient-based system using fractional power series method

R Abu-Gdairi - International Journal of Analysis and Applications, 2022 - etamaths.com
This paper adapted a reliable treatment technique, called the fractional residual power
series, to the fractional gradient-based system in solving a class of nonlinear programming …

The optimality principle for second-order discrete and discrete-approximate inclusions: The optimality principle for second-order discrete and discrete-approximate …

SD Sağlam - An International Journal of Optimization and Control …, 2021 - ijocta.org
This paper deals with the necessary and sufficient conditions of optimality for the Mayer
problem of second-order discrete and discrete-approximate inclusions. The main problem is …

Solving quadratic programming problem via dynamic programming approach

NS Saber, NA Sulaiman - International Journal of Nonlinear …, 2022 - ijnaa.semnan.ac.ir
In this paper, we define the dynamic programming approach to solve quadratic
programming problem when the objective function can be written as the product of two linear …

[PDF][PDF] Computional methods for fractional differential equations generated by optimization problem

NH Sweilam, MM Khader, AMS Mahdy - Journal of Fractional …, 2012 - academia.edu
In this paper, numerical studies for fractional differential equations (FDEs) which are
generated by optimization problem are studied using the pseudo-spectral method based …

Solution of a class of optimization problems based on hyperbolic penalty dynamic framework

F Evirgen - 2017 - dspace.balikesir.edu.tr
In this study, a gradient-based dynamic system is constructed in order to solve a certain
class of optimization problems. For this purpose, the hyperbolic penalty function is used …