Optimal Homotopy Asymptotic Method‐Least Square for Solving Nonlinear Fractional‐Order Gradient‐Based Dynamic System from an Optimization Problem

Oluwaseun Olumide Okundalaye, Wan Ainun Mior Othman and Nallasamy Kumaresan

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

Abstract: In this paper, we consider an approximate analytical method of optimal homotopy asymptotic method‐least square (OHAM‐LS) to obtain a solution of nonlinear fractional‐order gradient‐based dynamic system (FOGBDS) generated from nonlinear programming (NLP) optimization problems. The problem is formulated in a class of nonlinear fractional differential equations, (FDEs) and the solutions of the equations, modelled with a conformable fractional derivative (CFD) of the steepest descent approach, are considered to find the minimizing point of the problem. The formulation extends the integer solution of optimization problems to an arbitrary‐order solution. We exhibit that OHAM‐LS enables us to determine the convergence domain of the series solution obtained by initiating convergence‐control parameter Cj′s. Three illustrative examples were included to show the effectiveness and importance of the proposed techniques.

Date: 2020
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2020/8049397

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:8049397

Access Statistics for this article

More articles in Advances in Mathematical Physics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().