Optimal Homotopy Asymptotic Method-Least Square for Solving Nonlinear Fractional-Order Gradient-Based Dynamic System from an Optimization Problem
Joint Authors
Kumaresan, N.
Othman, Wan Ainun M.
Okundalaye, Oluwaseun Olumide
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-26
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Okundalaye, Oluwaseun Olumide& Othman, Wan Ainun M.& Kumaresan, N.. 2020. Optimal Homotopy Asymptotic Method-Least Square for Solving Nonlinear Fractional-Order Gradient-Based Dynamic System from an Optimization Problem. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1127502
Modern Language Association (MLA)
Okundalaye, Oluwaseun Olumide…[et al.]. Optimal Homotopy Asymptotic Method-Least Square for Solving Nonlinear Fractional-Order Gradient-Based Dynamic System from an Optimization Problem. Advances in Mathematical Physics No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1127502
American Medical Association (AMA)
Okundalaye, Oluwaseun Olumide& Othman, Wan Ainun M.& Kumaresan, N.. Optimal Homotopy Asymptotic Method-Least Square for Solving Nonlinear Fractional-Order Gradient-Based Dynamic System from an Optimization Problem. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1127502
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127502