Solitary wave solutions of the time fractional Benjamin Bona Mahony Burger equation

K Pavani, K Raghavendar, K Aruna - Scientific Reports, 2024 - nature.com
The present study examines the approximate solutions of the time fractional Benjamin Bona
Mahony Burger equation. This equation is critical for characterizing the dynamics of water …

Approximate collocation solution for the time-fractional Newell-Whitehead-Segel equation

AG Atta, WM Abd-Elhameed… - Journal of Applied and …, 2024 - jacm.scu.ac.ir
This study offers a novel method for solving the partial differential equation known as the
time-fractional Newell-Whitehead-Segel equation (TFNWSE), which has important …

On modified Mittag–Leffler coupled hybrid fractional system constrained by Dhage hybrid fixed point in Banach algebra

MA Almalahi, K Aldowah, F Alqarni, M Hleili, K Shah… - Scientific Reports, 2024 - nature.com
This research investigates the dynamics of nonlinear coupled hybrid systems using a
modified Mittag–Leffler fractional derivative. The primary objective is to establish criteria for …

An innovative analytical method utilizing aboodh residual power series for solving the time-fractional newell-whitehead-segel equation

SA Edalatpanah, E Abdolmaleki - Computational Algorithms and …, 2024 - journal-cand.com
In this study, we use a new method called Abode Residual Power Series Method (ARPSM)
to derive the analytical results of the Newell-Whitehead-Siegel equation. The Newell …

[IDÉZET][C] An efficient technique to study of time fractional Whitham–Broer–Kaup equations

N Bhatnagar, K Modi, LK Yadav… - International Journal of …, 2024 - World Scientific
In this study, we derive the approximate analytical solution for the fractional coupled
Whitham–Broer–Kaup (WBK) equations, a significant mathematical model for representing …

[IDÉZET][C] Hybrid technique for multi-dimensional fractional diffusion problems involving Caputo–Fabrizio derivative

SK Yadav, M Purohit, MM Gour, LK Yadav… - International Journal of …, 2024 - World Scientific
In this study, a precise and analytical method, namely Shehu transform decomposition
method (STDM), is applied to examine multi-dimensional fractional diffusion equations …