Yazar "Naik, Parvaiz Ahmad" seçeneğine göre listele

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    Modeling and analysis of fractional order Ebola virus model with Mittag-Leffler kernel
    (Elsevier, 2022) Farman, Muhammad; Akgul, Ali; Abdeljawad, Thabet; Naik, Parvaiz Ahmad; Bukhari, Nabila; Ahmad, Aqeel
    In this article, we presented a nonlinear time-fractional mathematical model of the Ebola Virus in order to understand the outbreak of this epidemic disease. Ebola virus is a highly contagious disease that can be spread in the population depending upon the number of individuals and their dynamics in the community. The Caputo and Atangana Baleanu fractional derivative operators are employed to get the solution of the system of fractional differential equations. The qualitative analysis has been made for the fractional-order model. Fixed-point theorem and an iterative schemes are used to get the existence and uniqueness. The actual behavior of the time-fractional model has been obtained by employing Laplace Adomian Decomposition technique. Finally, numerical results have been established for the system of fractional differential equations with simulations to demonstrate the impacts of the fractional-order parameters on the proposed system to achieve the theoretical outcomes and a comparison has been made with the Caputo for better analysis. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.
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    Modeling and numerical investigation of fractional-order bovine babesiosis disease
    (Wiley, 2021) Ahmad, Aqeel; Farman, Muhammad; Naik, Parvaiz Ahmad; Zafar, Nayab; Akgul, Ali; Saleem, Muhammad Umer
    In this paper, analysis and modeling of bovine babesiosis disease are designed with fractional calculus. The solution for a bovine babesiosis disease and tick populations fractional order system is determined using the Caputo and Atangana-Baleanu-Caputo (ABC) fractional derivatives. Applying the homotopy analysis method and the Laplace transform with polynomial homotopy, the analytical solution of the bovine babesiosis disease has obtained. Furthermore, using an iterative scheme by the Laplace transform, and the Atangana-Baleanu fractional integral, special solutions of the model are obtained. Uniqueness and existence of the solutions by the fixed-point theorem and Picard-Lindel of approach are studied. Numerical simulation has been established for both Caputo and ABC fractional derivative of the proposed system is carried out. The numeric replications for diverse consequences are carried out, and data attained are in good agreement with theoretical outcomes, displaying a vital perception about the use of the set of fractional coupled differential equations to model babesiosis disease and tick populations.
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    Modeling of smoking transmission dynamics using caputo-fabrizio type fractional derivative
    (River Publishers, 2022) Ahmad, Aqeel; Farman, Muhammad; Naik, Parvaiz Ahmad; Akgul, Ali
    In this chapter, the true purpose of the current work is to develop and analyze the Caputo-Fabrizio scheme of fractional derivative model for the Smoking epidemic, which contains an antiretroviral treatment compartment. Stability analysis has been made using self-mapping and Banach space and derives a unique solution for the fractional-order model, which is a new approach for such type of biological models. A few numerical simulations are done by using the given method of fractional order to explain and support the theoretical results. © 2022 River Publishers. All rights reserved.