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A New Optimal Homotopy Asymptotic Method for Fractional Optimal Control Problems [PDF]
International Journal of Differential Equations, 2021 Solving fractional optimal control problems (FOCPs) with an approximate analytical method has been widely studied by many authors, but to guarantee the convergence of the series solution has been a challenge.
Oluwaseun Olumide Okundalaye +1 more
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Applications of OHAM and MOHAM for Fractional Seventh-Order SKI Equations
Journal of Applied Mathematics, 2021 In this article, a comparative study between optimal homotopy asymptotic method and multistage optimal homotopy asymptotic method is presented. These methods will be applied to obtain an approximate solution to the seventh-order Sawada-Kotera Ito ...
Jafar Biazar, Saghi Safaei
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Complexity, 2020 In this paper, Daftardar–Jeffery Polynomials are introduced in the Optimal Homotopy Asymptotic Method for solution of a coupled system of nonlinear partial differential equations. The coupled nonlinear KdV system is taken as test example.
Rashid Nawaz +3 more
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Analysis of couple stress fluid flow with variable viscosity using two homotopy-based methods
Open Physics, 2021 In this article, the generalized plane Couette flow of Vogel’s model of incompressible, non-isothermal, couple stress fluid flowing steadily between two parallel walls is investigated.
Khan Alamgeer +6 more
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Nonlinear Engineering, 2023 Recently solving integro-differential equations have been the focus of attention among many researchers in the field of mathematic and engineering.
Ayati Zainab, Pourjafar Sadegh
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Maxwell's Theory of Solid Angle and the Construction of Knotted Fields [PDF]
, 2018 We provide a systematic description of the solid angle function as a means of constructing a knotted field for any curve or link in $\mathbb{R}^3$. This is a purely geometric construction in which all of the properties of the entire knotted field derive ...
Alexander, Gareth P., Binysh, Jack
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Propulsion and Power Research, 2019 In this article comparative analysis of various semi-numerical schemes has been made for the case of squeezing flow of an incompressible viscous fluid between two large parallel plates having no-slip at the boundaries.
Inayat Ullah +3 more
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Index type invariants for twisted signature complexes and homotopy invariance [PDF]
, 2013 For a closed, oriented, odd dimensional manifold $X$, we define the rho invariant $\rho(X,E,H)$ for the twisted odd signature operator valued in a flat hermitian vector bundle $E$, where $H = \sum i^{j+1} H_{2j+1}$ is an odd-degree closed differential ...
Benameur, Moulay Tahar, Mathai, Varghese
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International Journal of Differential Equations, 2018 The objective of this paper is to obtain an approximate solution for some well-known linear and nonlinear two-point boundary value problems. For this purpose, a semianalytical method known as optimal homotopy asymptotic method (OHAM) is used.
Muhammad Asim Khan +2 more
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Numerical solution of 2D-fuzzy Fredholm integral equations using optimal homotopy asymptotic method
Alexandria Engineering Journal, 2021 This paper deals with the solution of system of 2D-fuzzy Fredholm integral equations (2D-FFIEs) depend upon the parametric form fuzzy number; using an efficient algorithm called Optimal Homotopy Asymptotic Method (OHAM).
Sumbal Ahsan +5 more
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