The new soliton configurations of the 3D fractional model in arising shallow water waves

MN Alam, I Talib, C Tunç - International Journal of Applied and …, 2023 - Springer
This paper utilizes the analytical technique (AT) to investigate the new soliton configurations
(NSCs) of the nonlinear 3D fractional model (NL3DFM) with its spatial and temporal …

Bifurcation analysis and solitary wave analysis of the nonlinear fractional soliton neuron model

MN Alam, HS Akash, U Saha, MS Hasan… - Iranian Journal of …, 2023 - Springer
Fractional nonlinear soliton neuron model (FNLSNM) equation is mathematical
interpretations employed to describe a wide range of complicated phenomena occurring in …

Bifurcation, phase plane analysis and exact soliton solutions in the nonlinear Schrodinger equation with Atangana's conformable derivative

MN Alam, M Iqbal, M Hassan, M Fayz-Al-Asad… - Chaos, Solitons & …, 2024 - Elsevier
The nonlinear Schrodinger equation (NLSE) with Atangana's conformable fractional
derivative (ACFD) is an equation that describes how the quantum state of a physical system …

Dynamics of damped and undamped wave natures of the fractional Kraenkel-Manna-Merle system in ferromagnetic materials

MN Alam, MA Rahim, MN Hossain… - Journal of Applied and …, 2024 - jacm.scu.ac.ir
This research considers the Kraenkel-Manna-Merle system with an M-truncated derivative
(KMMSMTD) that defines the magnetic field propagation (MFP) in ferromagnetic materials …

Impact of undulation on magneto-free convective heat transport in an enclosure having vertical wavy sides

M Fayz-Al-Asad, MN Alam, AM Rashad… - … Communications in Heat …, 2021 - Elsevier
A computational study has been prepared to explore the impact of undulation on magneto-
free convection heat transport in a wavy enclosure bounded by vertical wavy sides and …

[HTML][HTML] Exploring analytical solutions and modulation instability for the nonlinear fractional Gilson–Pickering equation

RU Rahman, MB Riaz, J Martinovic, O Tunç - Results in Physics, 2024 - Elsevier
The primary goal of this research is to explore the complex dynamics of wave propagation
as described by the nonlinear fractional Gilson–Pickering equation (fGPE), a pivotal model …

An analytical technique implemented in the fractional Clannish Random Walker's Parabolic equation with nonlinear physical phenomena

MN Alam, I Talib, O Bazighifan, DN Chalishajar… - Mathematics, 2021 - mdpi.com
In this paper, the adapted (G′/G)-expansion scheme is executed to obtain exact solutions
to the fractional Clannish Random Walker's Parabolic (FCRWP) equation. Some innovative …

Thermal and Flow Properties of Jeffrey Fluid Through Prabhakar Fractional Approach: Investigating Heat and Mass Transfer with Emphasis on Special Functions

MB Riaz, AU Rehman, CK Chan, AA Zafar… - International Journal of …, 2024 - Springer
The core purpose of this work is the investigation, formulation and develop a mathematical
model by dint of a new fractional modeling approach namely Prabhakar fractional operator …

A numerical strategy for the approximate solution of the nonlinear time-fractional foam drainage equation

F Liu, J Liu, M Nadeem - Fractal and Fractional, 2022 - mdpi.com
This study develops a numerical strategy for finding the approximate solution of the
nonlinear foam drainage (NFD) equation with a time-fractional derivative. In this paper, we …

An analytical method for finding exact solutions of a nonlinear partial differential equation arising in electrical engineering

MN Alam - Open Journal of Mathematical Sciences, 2023 - classical.goforpromo.com
In this investigation, we aim to investigate the novel exact solutions of nonlinear partial
differential equations (NLPDEs) arising in electrical engineering via the-expansion method …