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Showing 1-20 of 1,376 results
  1. 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...

    Saba Jamil, Abdul Bariq, ... Muhammad Umer Saleem in Scientific Reports
    Article Open access 25 January 2024
  2. 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...

    Arunachalam Selvam, Sriramulu Sabarinathan, ... Vediyappan Govindan in Scientific Reports
    Article Open access 02 June 2023
  3. 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....

    Najat Almutairi, Sayed Saber in Scientific Reports
    Article Open access 20 December 2023
  4. 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...

    Sohail Nadeem, Bushra Ishtiaq, ... Ahmad M. Hassan in Scientific Reports
    Article Open access 06 December 2023
  5. 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...

    Sehra, Haleema Sadia, ... Ilyas Khan in Scientific Reports
    Article Open access 01 October 2023
  6. 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...

    Aziz Khan, Kamal Shah, ... Inas Amacha in Scientific Reports
    Article Open access 28 May 2024
  7. 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...

    Shuo Li, Samreen, ... Shewafera Wondimagegnhu Teklu in Scientific Reports
    Article Open access 01 March 2024
  8. 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...

    Shilong Liu, Yingwen Zhang, ... Ebrahim Karimi in Nature Communications
    Article Open access 14 January 2023
  9. 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...

    Tudor Alinei-Poiana, Eva-H. Dulf, Levente Kovacs in Scientific Reports
    Article Open access 21 June 2023
  10. 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....

    Sehra, Haleema Sadia, ... Shafiullah Niazai in Scientific Reports
    Article Open access 23 February 2024
  11. 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...

    Octavian Postavaru, Mariana M. Stanescu in Scientific Reports
    Article Open access 16 March 2024
  12. 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...

    Saqib Murtaza, Poom Kumam, ... Zubair Ahmad in Scientific Reports
    Article Open access 23 November 2022
  13. 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...

    Yu-Ming Chu, Taher Alzahrani, ... Mohammad Alkhatib in Scientific Reports
    Article Open access 24 October 2023
  14. 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...

    M. Levent Kavvas, Ali Ercan in Scientific Reports
    Article Open access 11 November 2022
  15. 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...

    **ankang Luo, Muhammad Nadeem in Scientific Reports
    Article Open access 10 March 2023
  16. 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...

    K. Pavani, K. Raghavendar, K. Aruna in Scientific Reports
    Article Open access 25 June 2024
  17. 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...

    Muhammad Nadeem, Yahya Alsayaad in Scientific Reports
    Article Open access 31 May 2024
  18. 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...

    M. A. Barakat, Abd-Allah Hyder, Areej A. Almoneef in Scientific Reports
    Article Open access 12 May 2023
  19. 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...

    Muhammad Arif, Poom Kumam, ... Luca Di Persio in Scientific Reports
    Article Open access 23 August 2023
  20. 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...

    Patricia Vazquez-Guerrero, Rohisha Tuladhar, ... Fidel Santamaria in Scientific Reports
    Article Open access 09 March 2024
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