The main aim of this article is the extension of Optimal Homotopy Asymptotic Method to the system of fractional order integro-differential equations. The systems of fractional order …
The main purpose of this research is to propose a new methodology to observe a class of time-fractional generalized fifth-order Korteweg–de Vries equations. Laplace transform …
J Zhang, Z Wei, L Li, C Zhou - Complexity, 2019 - Wiley Online Library
In this study, an applicable and effective method, which is based on a least‐squares residual power series method (LSRPSM), is proposed to solve the time‐fractional differential …
In this paper, the Optimal Homotopy Asymptotic Method is extended to derive the approximate solutions of fractional order two‐dimensional partial differential equations. The …
H Thabet, S Kendre - Int. J. Adv. Appl. Math. Mech, 2019 - academia.edu
In this paper, we introduce a new modification of Adomian decomposition method (ADM) for solving a system of nonlinear fractional partial differential equations (NFPDEs). This …
MS Paşca, O Bundău, A Juratoni, B Căruntu - Mathematics, 2022 - mdpi.com
In this paper, least squares homotopy perturbation is presented as a straightforward and accurate method to compute approximate analytical solutions for systems of ordinary …
This paper introduces a new approximate-analytical approach for solving systems of Fractional Nonlinear Partial Differential Equations (FNPDEs). However, the main advantage …
MA Qureshi, M Rafiq, Y Bashir, A Ahmad - Case Studies in Thermal …, 2024 - Elsevier
This research offers a thorough examination of thermal transmission within the context of the squeezing flow of a Casson fluid that is confined within two circular plates aligned in …
In this article, a semi-analytical technique called optimal homotopy asymptotic method (OHAM) is presented for numerical solutions of fractional-order integro-differential …