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Qualitative analysis and chaotic behavior of respiratory syncytial virus infection in human with fractional operator
Respiratory syncytial virus (RSV) is the cause of lung infection, nose, throat, and breathing issues in a population of constant humans with...
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Ulam-Hyers stability of tuberculosis and COVID-19 co-infection model under Atangana-Baleanu fractal-fractional operator
The intention of this work is to study a mathematical model for fractal-fractional tuberculosis and COVID-19 co-infection under the Atangana-Baleanu...
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On chaos control of nonlinear fractional Newton-Leipnik system via fractional Caputo-Fabrizio derivatives
In this work, we present a design for a Newton-Leipnik system with a fractional Caputo-Fabrizio derivative to explain its chaotic characteristics....
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Fractional Nadeem trigonometric non-Newtonian (NTNN) fluid model based on Caputo-Fabrizio fractional derivative with heated boundaries
The fractional operator of Caputo-Fabrizio has significant advantages in various physical flow problems due to the implementations in manufacturing...
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Time fractional Yang–Abdel–Cattani derivative in generalized MHD Casson fluid flow with heat source and chemical reaction
This present research article investigates the exact analytical solution for the mathematical model of the generalized Casson fluid flow by using the...
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Fractal fractional model for tuberculosis: existence and numerical solutions
This paper deals with the mathematical analysis of Tuberculosis by using fractal fractional operator. Mycobacterium TB is the bacteria that causes...
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Global dynamics and computational modeling approach for analyzing and controlling of alcohol addiction using a novel fractional and fractal–fractional modeling approach
In recent years, alcohol addiction has become a major public health concern and a global threat due to its potential negative health and social...
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Experimental realisations of the fractional Schrödinger equation in the temporal domain
The fractional Schrödinger equation (FSE)—a natural extension of the standard Schrödinger equation—is the basis of fractional quantum mechanics. It...
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Fractional calculus in mathematical oncology
Even though, nowadays, cancer is one of the leading causes of death, too little is known about the behavior of this disease due to its...
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A comparative analysis of three distinct fractional derivatives for a second grade fluid with heat generation and chemical reaction
This article provides a comparison among the generalized Second Grade fluid flow described by three recently proposed fractional derivatives i.e....
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Chaotic Zeeman effect: a fractional diffusion-like approch
It is shown that the chaotic Zeeman effect of a quantum system can be formally viewed as a result of fractional calculus. The fractional calculation...
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Fractal fractional analysis of non linear electro osmotic flow with cadmium telluride nanoparticles
Numerical simulations of non-linear Casson nanofluid flow were carried out in a microchannel using the fractal-fractional flow model. The nano-liquid...
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An advanced approach for the electrical responses of discrete fractional-order biophysical neural network models and their dynamical responses
The multiple activities of neurons frequently generate several spiking-bursting variations observed within the neurological mechanism. We show that a...
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Generalizations of incompressible and compressible Navier–Stokes equations to fractional time and multi-fractional space
This study develops the governing equations of unsteady multi-dimensional incompressible and compressible flow in fractional time and...
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Mohand homotopy transform scheme for the numerical solution of fractional Kundu–Eckhaus and coupled fractional Massive Thirring equations
In this paper, Mohand homotopy transform scheme is introduced to obtain the numerical solution of fractional Kundu–Eckhaus and coupled fractional...
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Solitary wave solutions of the time fractional Benjamin Bona Mahony Burger equation
The present study examines the approximate solutions of the time fractional Benjamin Bona Mahony Burger equation. This equation is critical for...
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Analytical study of one dimensional time fractional Schrödinger problems arising in quantum mechanics
This work presents the analytical study of one dimensional time-fractional nonlinear Schrödinger equation arising in quantum mechanics. In present...
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A novel HIV model through fractional enlarged integral and differential operators
This article presents a novel mathematical fractional model to examine the transmission of HIV. The new HIV model is built using recently fractional...
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The proportional Caputo operator approach to the thermal transport of Jeffery tri-hybrid nanofluid in a rotating frame with thermal radiation
Engine Oil is a widely used fluid in engineering problems, particularly to enhance the rate of heat transfer when these working fluids play a...
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Fractional order memcapacitive neuromorphic elements reproduce and predict neuronal function
There is an increasing need to implement neuromorphic systems that are both energetically and computationally efficient. There is also great interest...