[HTML][HTML] Fractal fractional-order derivative for HIV/AIDS model with Mittag-Leffler kernel

M Farman, A Akgül, MT Tekin, MM Akram… - Alexandria Engineering …, 2022 - Elsevier
In this paper, HIV/AIDS fractional-order model is studied. This epidemic phenomenon is
analyzed using Caputo-Fabrizio and Fractal fractional derivative operator that includes an …

Solutions and memory effect of fractional-order chaotic system: A review

S He, H Wang, K Sun - Chinese Physics B, 2022 - iopscience.iop.org
Fractional calculus is a 300 years topic, which has been introduced to real physics systems
modeling and engineering applications. In the last few decades, fractional-order nonlinear …

Numerical multistep approach for solving fractional partial differential equations

M Al-Smadi, A Freihat, H Khalil, S Momani… - International Journal of …, 2017 - World Scientific
In this paper, we proposed a novel analytical technique for one-dimensional fractional heat
equations with time fractional derivatives subjected to the appropriate initial condition. This …

Structure of optical soliton solution for nonliear resonant space-time Schrödinger equation in conformable sense with full nonlinearity term

M Alabedalhadi, M Al-Smadi, S Al-Omari… - Physica …, 2020 - iopscience.iop.org
Nonclassical quantum mechanics along with dispersive interactions of free particles, long-
range boson stars, hydrodynamics, harmonic oscillator, shallow-water waves, and quantum …

Fractional residual series for conformable time‐fractional Sawada–Kotera–Ito, Lax, and Kaup–Kupershmidt equations of seventh order

M Al‐Smadi - Mathematical Methods in the Applied Sciences, 2021 - Wiley Online Library
The purpose of the present work is to analyze and investigate the analytical solution of the
seventh‐order fractional Sawada–Kotera–Ito, Lax, and Kaup–Kupershmidt equations under …

[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] Solution of time fractional Fitzhugh–Nagumo equation using semi analytical techniques

ZY Fan, KK Ali, M Maneea, M Inc, SW Yao - Results in Physics, 2023 - Elsevier
In this work, we apply three different techniques to solve the Fitzhugh–Nagumo equation that
is an important equation used to describe the propagation of electrical signals in excitable …

[HTML][HTML] Application of Laplace residual power series method for approximate solutions of fractional IVP's

M Alaroud - Alexandria Engineering Journal, 2022 - Elsevier
In this study, different systems of linear and non-linear fractional initial value problems are
solved analytically utilizing an attractive novel technique so-called the Laplace residual …

Analysis of HIV/AIDS model with Mittag-Leffler kernel

MM Akram, M Farman, MU Saleem, A Ahmad… - 2022 - earsiv.cankaya.edu.tr
Recently different definitions of fractional derivatives are proposed for the development of
real-world systems and mathematical models. In this paper, our main concern is to develop …

Time fractional Yang–Abdel–Cattani derivative in generalized MHD Casson fluid flow with heat source and chemical reaction

Sehra, H Sadia, SU Haq, I Khan - Scientific Reports, 2023 - nature.com
This present research article investigates the exact analytical solution for the mathematical
model of the generalized Casson fluid flow by using the new fractional operator with …