Browsing by Author "Khan, A."

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Correction To: a Fractional Order Covid-19 Epidemic Model With Mittag-Leffler Kernel (Journal of Mathematical Sciences, (2023), 272, 2, (284-306), 10.1007/S10958-023-06417-x)
(Springer, 2023) Khan, H.; Ibrahim, M.; Khan, A.; Tunç, O.; Abdeljawad, T.
A Fractional Order Covid-19 Epidemic Model With Mittag–leffler Kernel
(Springer, 2023) Khan, H.; Ibrahim, M.; Khan, A.; Tunç, O.; Abdeljawad, T.
We consider a nonlinear fractional-order Covid-19 model in a sense of the Atagana–Baleanu fractional derivative used for the analytic and computational studies. The model consists of six classes of persons, including susceptible, protected susceptible, asymptomatic infected, symptomatic infected, quarantined, and recovered individuals. The model is studied for the existence of solution with the help of a successive iterative technique with limit point as the solution of the model. The Hyers–Ulam stability is also studied. A numerical scheme is proposed and tested on the basis of the available literature. The graphical results predict the curtail of spread within the next 5000 days. Moreover, there is a gradual increase in the population of protected susceptible individuals. © 2023, Springer Nature Switzerland AG.
General Synthesis Methods of Inorganic Materials for Supercapacitors
(wiley, 2021) Calimli, M.H.; Karahan, T.G.; Khan, A.; Sen, F.
Supercapacitors are capable of storing and converting energy. However, low energy densities limit the practical application area. Preparation electrodes having good stability, conductivity, and electrochemical activity are one of the vital issues in supercapacitors materials and their applications. Transition metals and metal hydroxides have been widely used in the fabrication of electrodes in electrosensing studies. These materials increase the energy density, conductivity, electrochemical activities, etc. Thus, using transition metals and metal oxidizes/hydroxides as supercapacitors have been an important factor to improve and diversify the electrochemical methods. This article includes synthesis methods of inorganic materials for supercapacitors. © 2022 WILEY-VCH GmbH, Boschstr. 12, 69469 Weinheim, Germany.
Graphene Functionalizations on Copper by Spectroscopic Techniques
(Springer International Publishing, 2019) Gülcan, M.; Aygün, A.; Almousa, F.; Burhan, H.; Khan, A.; Şen, F.
Graphene is a two-dimensional allotrope of the carbon element, which is one of the most powerful materials of the 21st century. In order to facilitate the processing of the graphene, solvent-supported methods such as rotation coating, layer by layer assembly, and filtration are used. Single layer graphene prevents agglomeration of the material while reducing reactions occur. According to the studies in the literature, the chemical functionalization of graphene is performed by covalent and non-covalent modification techniques on substrate like copper. Besides, graphene can be used in many material production areas, such as polymer nanocomposites, drug delivery system, supercapacitor devices, solar cells, biosensors, and memory devices. © 2019, Springer Nature Singapore Pte Ltd.
Numerical Simulations of the Fractional-Order Siq Mathematical Model of Corona Virus Disease Using the Nonstandard Finite Difference Scheme
(Univ Putra Malaysia Press, 2022) Raza, N.; Bakar, A.; Khan, A.; Tunc, C.
This paper proposes a novel nonlinear fractional-order pandemic model with Caputo derivative for corona virus disease. A nonstandard finite difference (NSFD) approach is presented to solve this model numerically. This strategy preserves some of the most significant physical properties of the solution such as non-negativity, boundedness and stability or convergence to a stable steady state. The equilibrium points of the model are analyzed and it is determined that the proposed fractional model is locally asymptotically stable at these points. Non-negativity and boundedness of the solution are proved for the considered model. Fixed point theory is employed for the existence and uniqueness of the solution. The basic reproduction number is computed to investigate the dynamics of corona virus disease. It is worth mentioning that the non-integer derivative gives significantly more insight into the dynamic complexity of the corona model. The suggested technique produces dynamically consistent outcomes and excellently matches the analyticalworks. To illustrate our results, we conduct a comprehensive quantitative study of the proposed model at various quarantine levels. Numerical simulations show that can eradicate a pandemic quickly if a human population implements obligatory quarantine measures at varying coverage levels while maintaining sufficient knowledge.