Yazar "Zakarya, Mohammed" seçeneğine göre listele

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    Analyzing multiplicative noise effects on stochastic dynamical ?4 equation using the new extended direct algebraic method
    (Elsevier, 2024) Manzoor, Zuha; Iqbal, Muhammad Sajid; Omer, Nader; Zakarya, Mohammed; Kanan, Mohammad; Akgul, Ali; Hussain, Shabbir
    The stochastic dynamical phi(4) equation is obtained by adding a multiplicative noise term to the classical phi(4) equation. The noise term represents the random fluctuations that are present in the system and is modeled by a Wiener process. The stochastic dynamical phi(4) equation is a powerful tool for modeling the behavior of complex systems that exhibit randomness and nonlinearity. It has a wide range of applications in physics, chemistry, biology, and finance. Our goal of this paper is to use the new extended direct algebraic method to find the stochastic traveling wave solutions of the dynamical phi(4) equation. We explore the new trigonometric, hyperbolic, and rational functions using the new extended direct algebraic method. Furthermore, we use Matlab to plot 3D surfaces of exact solutions to show how multiplicative noise affects the solutions to the stochastic dynamical phi(4) equation.
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    Lyapunov stability and wave analysis of Covid-19 omicron variant of real data with fractional
    (Elsevier, 2022) Xu, Changjin; Farman, Muhammad; Hasan, Ali; Akgul, Ali; Zakarya, Mohammed; Albalawi, Wedad; Park, Choonkil
    The fractional derivative is an advanced category of mathematics for real-life problems. This work focus on the investigation of 2nd wave of the Corona virus in India. We develop a time fractional order COVID-19 model with effects of the disease which consist of a system of fractional differential equations. The fractional-order COVID-19 model is investigated with AtanganaBaleanu-Caputo fractional derivative. Also, the deterministic mathematical model for the Omicron effect is investigated with different fractional parameters. The fractional-order system is analyzed qualitatively as well as verified sensitivity analysis. Fixed point theory is used to prove the existence and uniqueness of the fractional-order model. Analyzed the model locally as well as globally using Lyapunov first and second derivative. Boundedness and positive unique solutions are verified for the fractional-order model of infection of disease. The concept of fixed point theory is used to interrogate the problem and confine the solution. Solutions are derived to investigate the influence of fractional operator which shows the impact of the disease on society. Simulation has been made to understand the behavior of the virus.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/ 4.0/).
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    Stochastic dynamical analysis of the co-infection of the fractional pneumonia and typhoid fever disease model with cost-effective techniques and crossover effects
    (Elsevier, 2023) Rashid, Saima; El-Deeb, Ahmed A.; Inc, Mustafa; Akgul, Ali; Zakarya, Mohammed; Weera, Wajaree
    In this paper, we suggest and assess a stochastic model for pneumonia-typhoid co -infection to investigate their distinctive correlation under the impact of preventative techniques con-sidering environmental noise and piecewise fractional derivative operators. Initially, we conducted a descriptive investigation of the model, and the basic reproductive number is defined in terms of the existence and stability of dynamic equilibrium. Then, we obtain the sufficient requirements for the existence of an ergodic stationary distribution by utilizing a novel methodology for constructing stochastic Lyapunov candidates. Besides that, the basic stochastic reproductive Rs0 as a threshold that will examine the extinction and persistence of the disease. Through a rigorous analysis, this study presents the concept of piecewise derivative with the goal of modelling the co-dynamics of pneumonia and typhoid fever with varying kernels. We viewed various possibilities and described numerical strategies for addressing difficulties. Visual observations, such as chaotic and dynamical behaviour patterns, are provided to demonstrate the efficacy of the proposed notion. Thus, the innovative considerations of fractional calculus include more versatile configurations, allowing us to more effectively acclimate to the dynamic system behaviours of real-world manifestations. Finally, we discovered that treating pneumonia with typhoid fever preventative measures is the least expensive. As a result, for advantageous and cost-effective regulation of both pathogens, legislators must prioritize preventative measures while not overlooking treatment of affected patients.(c) 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
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    Yellow virus epidemiological analysis in red chili plants using Mittag-Leffler kernel
    (Elsevier, 2023) Farman, Muhammad; Hasan, Ali; Sultan, Muhammad; Ahmad, Aqeel; Akgul, Ali; Chaudhry, Faryal; Zakarya, Mohammed
    This scientific study investigates to check the dynamical behavior of yellow virus in red chilli with fractional order techniques. While attempts are being made to stop the yellow virus pan-demic, a more infectious yellow virus found in red chilli is developing in many locations. It is crucial to learn how to create strategies that will stop the yellow virus's spread to mimic the propagation of the yellow virus in red chilli plants while maintaining a specific degree of immunity. As a case study, we looked at the possibility of an outbreak in red chilli plants. Recently, novel fractal-fractional operators proposed by Atangana have been widely used to observe the unanticipated elements of a problem. Currently, the illness caused by the yellow virus in red chilli is common and difficult to treat. The inventive operators have been implemented in this structure to observe the influence of vaccination on the yellow virus in the red chilli model using a variety of values for t1 and t2 which are utilized to represent the impact of vaccination. The number of reproductions will determine whether the system is clear of sickness. Using the fractal-fraction Mittag-Leffler operator, we exam-ined the qualitative and quantitative characteristics of the yellow virus in the red chilli model. The results of the fixed point theory are used to apply an improved method for the fractional order model of the yellow virus. Nonlinear analysis was used to assess the stability of the Ulam-Hyres. Numerical simulations are demonstrated to prove the efficiency of the proposed method. The tools employed in this model appear to be quite potent and capable of simulating the expected theoretical conditions in the issue.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).