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

Fırat Evirgen | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Fırat Evirgen

Publication year - 2016

Publication title -

an international journal of optimization and control theories and applications (ijocta)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.287

H-Index - 6

eISSN - 2146-5703

pISSN - 2146-0957

DOI - 10.11121/ijocta.01.2016.00317

Subject(s) - fractional programming , nonlinear system , mathematical optimization , class (philosophy) , order (exchange) , mathematics , integer (computer science) , point (geometry) , nonlinear programming , fractional calculus , computer science , artificial intelligence , physics , geometry , finance , quantum mechanics , economics , programming language

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 between the equilibrium point of the fractional order dynamic system and theoptimal solution of the NLP problem in a longer timespan the Multistage Variational Iteration Method isapplied. The comparisons among the multistage variational iteration method, the variationaliteration method and the fourth order Runge-Kutta method in fractional and integer order showthat fractional order model and techniques can be seen as an effective and reliable tool for finding optimal solutions of Nonlinear Programming problems.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research