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Browsing by Author "Hussain, Muhammad Tanveer"

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    Article
    Analysis and Numerical Simulation of Tuberculosis Model Using Different
    (Pergamon-elsevier Science Ltd, 2022) Zafar, Zain Ul Abadin; Zaib, Sumera; Hussain, Muhammad Tanveer; Tunc, Cemil; Javeed, Shumaila
    The main goal of the current research is to study and explore dynamic behavior of tuberculosis by using fractional mathematical model. In this study, recently introduced fractional operator (FO) having ML non-singular kernel was used. Fixed point theory is utilized to explore the unique and existing problems in suitable model. Numerical outcomes are discovered for the verification of arbitrary fractional order derivative. These numerical outcomes are discovered from mathematical and biological perspectives by using the model parameters values. Graphical simulation shows the comparison between Fractional Caputo (Fr. Cap) method and AB Caputo (AB Cap) predictor corrector method for different fraction order. The present study suggested that AB Cap is much better than Fr. Cap.(c) 2022 Elsevier Ltd. All rights reserved.
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    Article
    Fractional Aspects of Coupled Mass-Spring System
    (Pergamon-elsevier Science Ltd, 2021) Zafar, Zain Ul Abadin; Younas, Samina; Hussain, Muhammad Tanveer; Tunc, Cemil
    In this article, the non-integer equations of the coupled mass-spring system with Atangana Baleanu fractional derivatives is offered. The physical entities of the structure are well-preserved by presenting an supplementary stricture chi. A nonlinear model with damping factor is considered. The existence and uniqueness problem to related model are scanned by fixed point principle. Our consequences spectacle that the mechanical components reveal viscoelastic behaviors generating temporal fractality at diverse scales and exhibit the existence of material heterogeneities in the mechanical modules. The comparison Jajarmi predictor corrector and Caputo methods is also given. (C) 2021 Published by Elsevier Ltd.