A comparative analysis of fractional-order Kaup–Kupershmidt equation within different operators

NA Shah, YS Hamed, KM Abualnaja, JD Chung… - Symmetry, 2022 - mdpi.com
In this paper, we find the solution of the fractional-order Kaup–Kupershmidt (KK) equation by
implementing the natural decomposition method with the aid of two different fractional …

Fractional view analysis of Kuramoto–Sivashinsky equations with non-singular kernel operators

A Saad Alshehry, M Imran, A Khan, R Shah, W Weera - Symmetry, 2022 - mdpi.com
In this article, we investigate the nonlinear model describing the various physical and
chemical phenomena named the Kuramoto–Sivashinsky equation. We implemented the …

[HTML][HTML] A generalized magnetohydrodynamic two-phase free convection flow of dusty Casson fluid between parallel plates

G Ali, F Ali, A Khan, AH Ganie, I Khan - Case Studies in Thermal …, 2022 - Elsevier
This article aims to investigate the combined effects of the heat transfer and magnetic field
on the electrically conducting magnetohydrodynamic two-phase free convective flow of …

New numerical results for the time-fractional Phi-four equation using a novel analytical approach

W Gao, P Veeresha, DG Prakasha, HM Baskonus… - Symmetry, 2020 - mdpi.com
This manuscript investigates the fractional Phi-four equation by using q-homotopy analysis
transform method (q-HATM) numerically. The Phi-four equation is obtained from one of the …

An automated brain tumor detection and classification from MRI images using machine learning technique s with IoT

AK Budati, RB Katta - Environment, Development and Sustainability, 2022 - Springer
In medical imaging applications, the accurate diagnosis of brain tumors from magnetic
resonance imaging (MRI) at an early stage is a challenging task to researchers nowadays …

Regarding new numerical solution of fractional Schistosomiasis disease arising in biological phenomena

P Veeresha, HM Baskonus, DG Prakasha, W Gao… - Chaos, Solitons & …, 2020 - Elsevier
In this paper, we study to find the numerical solution of fractional Schistosomiasis disease by
using a numerical method. Fractional Schistosomiasis disease model is used to symbolize a …

Blood vessel segmentation in retinal fundus images using Gabor filters, fractional derivatives, and Expectation Maximization

H Aguirre-Ramos, JG Avina-Cervantes… - Applied Mathematics …, 2018 - Elsevier
In recent decades, the eye diseases have become the leading causes of blindness in young
adults. Most of the cases can be prevented if detected in the early stages. For instance, the …

Numerical investigation of time-fractional phi-four equation via novel transform

NK Mishra, MM AlBaidani, A Khan, AH Ganie - Symmetry, 2023 - mdpi.com
This paper examines two methods for solving the nonlinear fractional Phi-four problem with
variable coefficients. One of the distinct states of the Klein–Gordon model yields the Phi-four …

Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator

M ur Rahman, S Ahmad, RT Matoog, NA Alshehri… - Chaos, Solitons & …, 2021 - Elsevier
In this article we study a fractional-order mathematical model describing the spread of the
new coronavirus (COVID-19) under the Caputo-Fabrizio sense. Exploiting the approach of …

Existence and continuity results for Kirchhoff parabolic equation with Caputo–Fabrizio operator

NH Tuan, AT Nguyen, NH Can - Chaos, Solitons & Fractals, 2023 - Elsevier
This paper deals with the solution of the Kirchhoff parabolic equation involving the Caputo–
Fabrizio fractional derivative with non-singular kernel. We represent the mild solution by …