Browsing by Author "Kumam, P."

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Citation - Scopus: 25
A Caputo-Fabrizio Fractional-Order Cholera Model and Its Sensitivity Analysis
(Mehmet Yavuz, 2023) Akgül, A.; Jarad, F.; Kumam, P.; Nonlaopon, K.; Ahmed, I.; 234808; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In recent years, the availability of advanced computational techniques has led to a growing emphasis on fractional-order derivatives. This development has enabled researchers to explore the intricate dynamics of various biological models by employing fractional-order derivatives instead of traditional integer-order derivatives. This paper proposes a Caputo-Fabrizio fractional-order cholera epidemic model. Fixed-point theorems are utilized to investigate the existence and uniqueness of solutions. A recent and effective numerical scheme is employed to demonstrate the model’s complex behaviors and highlight the advantages of fractional-order derivatives. Additionally, a sensitivity analysis is conducted to identify the most influential parameters. © 2023 by the authors.
Citation - Scopus: 12
An Exploration of Heat and Mass Transfer for Mhd Flow of Brinkman Type Dusty Fluid Between Fluctuating Parallel Vertical Plates With Arbitrary Wall Shear Stress
(Elsevier B.V., 2024) Ali, G.; Kumam, P.; jarad, F.; khan, D.; 234808; 01. Çankaya Üniversitesi; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi
An equitably complex phenomenon, the Brinkman-type dusty fluid and wall shear stress effect, is utilized in various engineering and product-making fields. For instance, dusty fluids are employed in nuclear-powered reactors and gas freezing systems to reduce heat of the system. To ascertain the impact of wall shear stress on Brinkman-type dusty fluid flow, the current study intends to do so. Base on this motivation, this paper discusses the two-phase MHD fluctuating flow of a Brinkman-type dusty fluid along with heat and mass transport. Two parallel non-conducting plates are used to model the flow, one at rest and the other in motion. Heat and mass transfer, along with wall share stress, are also taken into consideration, and plate fluctuation allows the flow to occur. The Poincaré-Lighthill fluctuation method was utilised in the process to investigate systematic solutions. The findings were achieved and plotted on a graph. The two-phase flow model is created by independently simulating the fluid and dust particle equations. The effect of relevant aspects such as the Grashof number, magnetic parameter, heat flux, and dusty fluid variable on the base fluid velocity has been explored. It was found that as the magnetic flux and imposed shear force decrease, the velocity of the base fluid increases. Additionally estimated in tabular form are rate of heat transfer and skin friction, two crucial fluid parameters for engineers. According to the graphical analysis, the Brinkman kind dusty fluid has better control over dust particle and fluid velocity rather than viscous fluid. By adjusting the value of N, you may control the temperature profile. Also, by adjusting the value of Sc and γ, you may control the concentration profile. © 2023 The Authors
Citation - Scopus: 46
A Semi-Analytical Method To Solve Family of Kuramoto–sivashinsky Equations
(Taylor and Francis Ltd., 2020) Khan, H.; Baleanu, D.; Kumam, P.; Arif, M.; Shah, R.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this article, a semi-analytical technique is implemented to solve Kuramoto–Sivashinsky equations. The present method is the combination of two well-known methods namely Laplace transform method and variational iteration method. This hybrid property of the proposed method reduces the numbers of calculations and materials. The accuracy and applicability of the suggested method is confirmed through illustration examples. The accuracy of the proposed method is described in terms of absolute error. It is investigated through graphs and tables that the Laplace transformation and variational iteration method (LVIM) solutions are in good agreement with the exact solution of the problems. The LVIM solutions are also obtained at different fractional-order of the derivative. It is observed through graphs and tables that the fractional-order solutions are convergent to an integer solution as fractional-orders approaches to an integer-order of the problems. In conclusion, the overall implementation of the present method support the validity of the suggested method. Due to simple, straightforward and accurate implementation, the present method can be extended to other non-linear fractional partial differential equations. © 2020 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.