[HTML][HTML] Application of an efficient analytical technique based on Aboodh transformation to solve linear and non-linear dynamical systems of integro-differential …

Q Khan, A Suen, H Khan - Partial Differential Equations in Applied …, 2024 - Elsevier
In literature, it is usually very difficult to investigate the analytical and numerical solutions of
fractional integro-differential equations (FIDEs). In the current work, the solutions to linear …

Optical solitary waves and soliton solutions of the (3+ 1)-dimensional generalized Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equation

AA Mahmud, HM Baskonus, T Tanriverdi… - Computational …, 2023 - Springer
In this investigation, an appropriate traveling wave transformation has been employed to
analyze the fourth-order nonlinear (3+ 1)-dimensional generalized Kadomtsev–Petviashvili …

Comparative Analysis of Polynomials with Their Computational Costs

Q Khan, A Suen - arXiv preprint arXiv:2411.00487, 2024 - arxiv.org
In this article, we explore the effectiveness of two polynomial methods in solving non-linear
time and space fractional partial differential equations. We first outline the general …

Series Solution to Fractional Telegraph Equations Using an Iterative Scheme Based on Yang Transform

M Kapoor, S Khosla - Differential Equations and Dynamical Systems, 2024 - Springer
In the present paper, an iterative scheme based on Yang transform has been used to obtain
series solutions to 1D, 2D and 3D fractional hyperbolic telegraph equations, where the …