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 …

[PDF][PDF] Numerical analysis of multi-dimensional Navier–Stokes equation based on Yang–Abdel–Cattani fractional operator

M Aychluh, M Ayalew, DL Suthar, SD Purohit - Int. J. Math. Ind, 2024 - researchgate.net
The Navier–Stokes equation is a key governing equation for the motion of viscous uid ow.
The main target of our work is to obtain the solution to multi-dimensional Navier–Stokes …

A Mathematical Analysis of Non-linear Smoking Model via Fractional Operators

S Panwar, RM Pandey, SD Purohit - Computational Methods for …, 2024 - cmde.tabrizu.ac.ir
Smoking is a one of the most hazardous habit which damages almost all organs in the body
and has a detrimental effect on general health. In this work, we investigate a mathematical …

Approximate analytical solutions of fractional coupled Whitham-Broer-Kaup equations via novel transform

LK Yadav, MM Gour, VK Meena, E Bonyah… - … of Optimization and …, 2025 - accscience.com
In this study, the approximated analytical solution for the time-fractional coupled Whitham-
Broer-Kaup (WBK) equations describing the propagation of shallow water waves are …

[ЦИТИРОВАНИЕ][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 …

[ЦИТИРОВАНИЕ][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 …