[HTML][HTML] Numerical solution of fractional order smoking model via Laplace Adomian decomposition method

F Haq, K Shah, G ur Rahman, M Shahzad - Alexandria Engineering Journal, 2018 - Elsevier
Smoking is one of the major cause of health problems around the globe. The present article
deals with the dynamics of giving up smoking model of fractional order. We study analytical …

[HTML][HTML] Analysis and numerical solution of SEIR epidemic model of measles with non-integer time fractional derivatives by using Laplace Adomian Decomposition …

M Farman, MU Saleem, A Ahmad… - Ain Shams Engineering …, 2018 - Elsevier
SEIR epidemic model which represents the direct transmission of infectious disease are
considered to control the measles disease for infected population. The Caputo fractional …

[HTML][HTML] Traveling wave solutions of generalized seventh-order time-fractional KdV models through He-Laplace algorithm

M Qayyum, E Ahmad, ST Saeed, A Akgül… - Alexandria Engineering …, 2023 - Elsevier
Non-linear evolution equations play a prominent role in describing a wide range of
phenomena in optical fibers, fluid dynamics, electromagnetic radiation, plasma and solid …

Approximate and Closed‐Form Solutions of Newell‐Whitehead‐Segel Equations via Modified Conformable Shehu Transform Decomposition Method

MI Liaqat, A Khan, MA Alam, MK Pandit… - Mathematical …, 2022 - Wiley Online Library
In this study, we introduced a novel scheme to attain approximate and closed‐form solutions
of conformable Newell‐Whitehead‐Segel (NWS) equations, which belong to the most …

Exact solutions to the family of Fisher's reaction‐diffusion equation using Elzaki homotopy transformation perturbation method

AC Loyinmi, TK Akinfe - Engineering Reports, 2020 - Wiley Online Library
In this research work, we propose an unprecedented hybrid algorithm which involves the
coupling of a new integral transform, namely, the Elzaki transform and the well‐known …

A solitary wave solution to the generalized Burgers-Fisher's equation using an improved differential transform method: A hybrid scheme approach

TK Akinfe, AC Loyinmi - Heliyon, 2021 - cell.com
In this research, an unrivalled hybrid scheme which involves the coupling of the new Elzaki
integral transform (an improved version of Laplace transform) and a modified differential …

New soliton solutions of time-fractional korteweg–de vries systems

M Qayyum, E Ahmad, MB Riaz, J Awrejcewicz… - Universe, 2022 - mdpi.com
Model construction for different physical situations, and developing their solutions, are the
major characteristics of the scientific work in physics and engineering. Korteweg–de Vries …

Analysis and dynamical behavior of fractional‐order cancer model with vaccine strategy

M Farman, A Akgül, A Ahmad… - Mathematical Methods in …, 2020 - Wiley Online Library
In recent year, the world has witnessed the arrival of deadly diseases like cancer over all the
global levels. To fight back this disease or control the spread, mankind relies on modeling …

[HTML][HTML] Recent advances in employing the Laplace homotopy analysis method to nonlinear fractional models for evolution equations and heat-typed problems

SM Turq, RI Nuruddeen, R Nawaz - International Journal of Thermofluids, 2024 - Elsevier
This study stems from the growing need for effective mathematical tools to tackle nonlinear
fractional evolution equations, which find wide applications in physics and engineering …

Fractional analysis of unsteady squeezing flow of Casson fluid via homotopy perturbation method

M Qayyum, E Ahmad, S Afzal, T Sajid, W Jamshed… - Scientific Reports, 2022 - nature.com
The objective of this article is to model and analyze unsteady squeezing flow of fractional
MHD Casson fluid through a porous channel. Casson fluid model is significant in …