Browsing by Author "Younas, Samina"
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Article An Efficient Numerical Simulation and Mathematical Modeling for the Prevention of Tuberculosis(World Scientific Publ Co Pte Ltd, 2022) Zafar, Zain Ul Abadin; Younas, Samina; Zaib, Sumera; Tunc, CemilThe main purpose of this research is to use a fractional-mathematical model including Atangana-Baleanu derivatives to explore the clinical associations and dynamical behavior of the tuberculosis. Herein, we used a lately introduced fractional operator having Mittag-Leffler kernel. The existence and inimitability problems to the relevant model were examined through the fixed-point theory. To verify the significance of the arbitrary fractional-order derivative, numerical outcomes were explored from the biological and mathematical viewpoints using the values of model parameters. The graphical simulations show the comparison of the predictor-corrector method (PCM) and Caputo method (CM) for different fractional orders and the results indicated the significant preference of PCM over CM.Article Fractional Aspects of Coupled Mass-Spring System(Pergamon-elsevier Science Ltd, 2021) Zafar, Zain Ul Abadin; Younas, Samina; Hussain, Muhammad Tanveer; Tunc, CemilIn 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.