New soliton solutions of time-fractional korteweg–de vries systems

M Qayyum, E Ahmad, MB Riaz, J Awrejcewicz… - Universe, 2022 - mdpi.com
Model construction for different physical situations, and developing their solutions, are the
major characteristics of the scientific work in physics and engineering. Korteweg–de Vries …

[HTML][HTML] New approach to approximate the solution for the system of fractional order Volterra integro-differential equations

M Akbar, R Nawaz, S Ahsan, KS Nisar, AH Abdel-Aty… - Results in Physics, 2020 - Elsevier
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 …

Improved soliton solutions of generalized fifth order time-fractional KdV models: laplace transform with homotopy perturbation algorithm

M Qayyum, E Ahmad, MB Riaz, J Awrejcewicz - Universe, 2022 - mdpi.com
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 …

Least‐Squares Residual Power Series Method for the Time‐Fractional Differential Equations

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 …

Optimum solutions of fractional order Zakharov–Kuznetsov equations

R Nawaz, L Zada, A Khattak, M Jibran, A Khan - Complexity, 2019 - Wiley Online Library
In this paper, the Optimal Homotopy Asymptotic Method is extended to derive the
approximate solutions of fractional order two‐dimensional partial differential equations. The …

[PDF][PDF] New modification of Adomian decomposition method for solving a system of nonlinear fractional partial differential equations

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 …

The least squares homotopy perturbation method for systems of differential equations with application to a blood flow model

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 …

Solitary wave solutions and traveling wave solutions for systems of time-fractional nonlinear wave equations via an analytical approach

H Thabet, S Kendre, J Peters, M Kaplan - Computational and Applied …, 2020 - Springer
This paper introduces a new approximate-analytical approach for solving systems of
Fractional Nonlinear Partial Differential Equations (FNPDEs). However, the main advantage …

[HTML][HTML] Analytical and numerical approach for the analysis of heat transfer of squeezing flow between two parallel plates

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 …

Solution of fractional-order integro-differential equations using optimal homotopy asymptotic method

R Nawaz, A Khattak, M Akbar, S Ahsan, Z Shah… - Journal of Thermal …, 2021 - Springer
In this article, a semi-analytical technique called optimal homotopy asymptotic method
(OHAM) is presented for numerical solutions of fractional-order integro-differential …