[HTML][HTML] Solitary wave solution to the space–time fractional modified Equal Width equation in plasma and optical fiber systems

UHM Zaman, MA Arefin, MA Akbar, MH Uddin - Results in Physics, 2023 - Elsevier
Nonlinear fractional evolution equations play a crucial role in characterizing assorted
complex nonlinear phenomena observed in different scientific fields, including plasma …

New spectral algorithm for fractional delay pantograph equation using certain orthogonal generalized Chebyshev polynomials

WM Abd-Elhameed, MM Alsuyuti - Communications in Nonlinear Science …, 2025 - Elsevier
This article presents a novel computational algorithm for solving the fractional pantograph
differential equation (FPDE). The algorithm is based on introducing a new family of …

[PDF][PDF] On linearization coefficients of shifted Jacobi polynomials

HM Ahmed, WM Abd-Elhameed - Contemporary Mathematics, 2024 - ojs.wiserpub.com
On Linearization Coefficients of Shifted Jacobi Polynomials Page 1 Contemporary Mathematics
http://ojs.wiserpub.com/index.php/CM/ Research Article On Linearization Coefficients of Shifted …

[PDF][PDF] Analysis of Time-Fractional Delay Partial Differential Equations Using a Local Radial Basis Function Method.

K Athar, ZA Khan, S Haque, N Mlaiki - Fractal & Fractional, 2024 - researchgate.net
Delay partial differential equations have significant applications in numerous fields, such as
population dynamics, control systems, neuroscience, and epidemiology, where they are …

Numerical investigation of two fractional operators for time fractional delay differential equation

R Chawla, D Kumar, D Baleanu - Journal of Mathematical Chemistry, 2024 - Springer
This article compared two high-order numerical schemes for convection-diffusion delay
differential equation via two fractional operators with singular kernels. The objective is to …

An innovative Vieta–Fibonacci wavelet collocation method for the numerical solution of three-component Brusselator reaction diffusion system of fractional order

M Singh, S Das, Rajeev - Journal of Mathematical Chemistry, 2024 - Springer
The research article presents a novel approach for the numerical solution of three-
component time fractional order Brusselator reaction-diffusion system using the innovative …