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Öğe An investigation into a semi-porous channel's forced convection of nano fluid in the presence of a magnetic field as a result of heat radiation(Nature Portfolio, 2023) Jalili, Bahram; Shateri, Amirali; Akgul, Ali; Bariq, Abdul; Asadi, Zohreh; Jalili, Payam; Ganji, Davood DomiriThis study investigates the impact of heat radiation on magnetically-induced forced convection of nanofluid in a semi-porous channel. The research employs Akbari-Ganji's and Homotopy perturbation methods to analyze the effects of multiple parameters, including Hartmann number, Reynolds number, Eckert number, radiation parameter, and suction parameter, on the flow and heat transfer characteristics. The results demonstrate that increasing Reynolds number, suction, and radiation parameters increases temperature gradient, providing valuable insights into improving heat transfer in semi-porous channels. The study validates the proposed methods by comparing the results with those obtained from other established methods in the literature. The main focus of this work is to understand the behavior of nanofluids in semi-porous channels under the influence of magnetic fields and heat radiation, which is essential for various industrial and engineering applications. The future direction of this research includes exploring the effects of different nanoparticle shapes and materials on heat transfer performance and investigating the influence of other parameters, such as buoyancy forces and variable properties, on the flow and heat transfer characteristics. The findings of this study are expected to contribute to the development of more efficient thermal management systems in the future.Öğe Author Correction: Novel insights for a nonlinear deterministic-stochastic class of fractional-order Lassa fever model with varying kernels (Scientific Reports, (2023), 13, 1, (15320), 10.1038/s41598-023-42106-0)(Nature Research, 2023) Rashid, Saima; Karim, Shazia; Akgül, Ali; Bariq, Abdul; Elagan, S.K.Correction to: Scientific Reports, published online 15 September 2023 The original version of this Article contained an error. In the original version of this article, the Acknowledgements section was missing. The Acknowledgements section now reads: “The researchers would like to acknowledge the Deanship of Scientific Research at Taif University for funding this work.” The original Article has been corrected. © 2023, Springer Nature Limited.Öğe Computational framework of cobalt ferrite and silver-based hybrid nanofluid over a rotating disk and cone: a comparative study(Nature Portfolio, 2023) Farooq, Umar; Waqas, Hassan; Fatima, Nahid; Imran, Muhammad; Noreen, Sobia; Bariq, Abdul; Akgul, AliThe dominant characteristics of hybrid nanofluids, including rapid heat transfer rates, superior electrical and thermal conductivity, and low cost, have effectively piqued the interest of global researchers. The current study will look at the impacts of a silver and cobalt ferrite-based hybrid nanofluid with MHD between a revolving disk and cone. The collection of partial differentiable equations is converted into a set of ODEs via similarity transformations. We used the Homotopy analysis approach from the BVPh 2.0 package to solve the ordinary differential equations. The volume proportion of nanoparticles increases and the temperature distribution profile also increased. It is more efficient for metallurgical, medicinal, and electrical applications. Furthermore, the antibacterial capabilities of silver nanoparticles might be used to restrict the growth of bacteria. A circulating disc with a stationary cone has been identified to provide the optimal cooling of the cone disc device while maintaining the outer edge temperature constant. This study's findings might be useful in materials science and engineering. The usage of hybrid nanofluid in heat transfer and heat pumps, coolants in manufacturing and production, producing cooling, refrigerators, solar thermal collectors, and heating, air conditioning, and climate control applications are only a few examples.Öğe Computational study of a co-infection model of HIV/AIDS and hepatitis C virus models(Nature Portfolio, 2023) Dayan, Fazal; Ahmed, Nauman; Bariq, Abdul; Akgul, Ali; Jawaz, Muhammad; Rafiq, Muhammad; Raza, AliHepatitis C infection and HIV/AIDS contaminations are normal in certain areas of the world, and because of their geographic overlap, co-infection can't be precluded as the two illnesses have a similar transmission course. This current work presents a co-infection model of HIV/AIDS and Hepatitis C virus with fuzzy parameters. The application of fuzzy theory aids in tackling the issues associated with measuring uncertainty in the mathematical depiction of diseases. The fuzzy reproduction number and fuzzy equilibrium points have been determined in this context, focusing on a model applicable to a specific group defined by a triangular membership function. Furthermore, for the model, a fuzzy non-standard finite difference (NSFD) technique has been developed, and its convergence is examined within a fuzzy framework. The suggested model is numerically validated, confirming the dependability of the devised NSFD technique, which successfully retains all of the key properties of a continuous dynamical system.Öğe Exact and solitary wave structure of the tumor cell proliferation with LQ model of three dimensional PDE by newly extended direct algebraic method(Aip Publishing, 2023) Ghazanfar, Sidra; Ahmed, Nauman; Ali, Syed Mansoor; Iqbal, Muhammad Sajid; Akgul, Ali; Shar, Muhammad Ali; Bariq, AbdulAn essential stage in the spread of cancer is the entry of malignant cells into the bloodstream. The fundamental mechanism of cancer cell intravasation is still completely unclear, despite substantial advancements in observing tumor cell mobility in vivo. By creating therapeutic methods in conjunction with control engineering or by using the models for simulations and treatment process evaluation, tumor growth models have established themselves as a crucial instrument for producing an engineering backdrop for cancer therapy. Because tumor growth is a highly complex process, mathematical modeling has been essential for describing it because a carefully crafted tumor growth model constantly describes the measurements and the physiological processes of the tumors. This article discusses the exact and solitary wave behavior of a tumor cell with a three-dimensional linear-quadratic model. Exact solutions have been discussed in detail using the newly extended direct algebraic method, which presents a variety of answers to this issue based on the conditions applied. This article also illustrates its graphical behavior with surface and contour plots of several solitons.Öğe Generalized Hyers-Ulam stability of ?-functional inequalities(Springer, 2023) Nawaz, Sundas; Bariq, Abdul; Batool, Afshan; Akgul, AliIn our research work generalized Hyers-Ulam stability of the following functional inequalities is analyzed by using fixed point approach: parallel to f(2x + y) + f(2x - y) - 2f(x + y) - 2f(x - y) - 12f(x) - rho(4f(x + y/2) + 4(f(x - y/2) - f (x + y) - f (x - y) -6f(x), r)parallel to >= r/r + phi(x, y) (0.1) and parallel to f(2x + y) + f(2x - y) - 4f(x + y) - 4f(x - y) - 6f(y) - rho(8f(x + y/2) + 8(f(x - y/2) - 2f(x + y) - 2f (x - y) - 12f(x) + 3f(y), r)parallel to >= r/r + phi(x, y) (0.2) in the setting of fuzzy matrix, where. rho not equal 2 is a real number. We also discussed Hyers-Ulam stability from the application point of view.Öğe Mathematical modelling of COVID-19 outbreak using caputo fractional derivative: stability analysis(Taylor & Francis Ltd, 2024) Ul Haq, Ihtisham; Ali, Nigar; Bariq, Abdul; Akgul, Ali; Baleanu, Dumitru; Bayram, MustafaThe novel coronavirus SARS-Cov-2 is a pandemic condition and poses a massive menace to health. The governments of different countries and their various prohibitory steps to restrict the virus's expanse have changed individuals' communication processes. Due to physical and financial factors, the population's density is more likely to interact and spread the virus. We establish a mathematical model to present the spread of the COVID-19 in worldwide. In this article, we propose a novel mathematical model (' $ \mathbb {S}\mathbb {L}\mathbb {I}\mathbb {I}_{q}\mathbb {I}_{h}\mathbb {R}\mathbb {P} $ SLIIqIhRP') to assess the impact of using hospitalization, quarantine measures, and pathogen quantity in controlling the COVID-19 pandemic. We analyse the boundedness of the model's solution by employing the Laplace transform approach to solve the fractional Gronwall's inequality. To ensure the uniqueness and existence of the solution, we rely on the Picard-Lindelof theorem. The model's basic reproduction number, a crucial indicator of epidemic potential, is determined based on the greatest eigenvalue of the next-generation matrix. We then employ stability theory of fractional differential equations to qualitatively examine the model. Our findings reveal that both locally and globally, the endemic equilibrium and disease-free solutions demonstrate symptomatic stability. These results shed light on the effectiveness of the proposed interventions in managing and containing the COVID-19 outbreak.Öğe Modeling and analysis of thin film flow of Fuzzified Johnson Segalman nanofluid using fuzzy extension of He-Laplace scheme(Taylor & Francis Inc, 2023) Qayyum, Mubashir; Tahir, Aneeza; Bariq, Abdul; Akgul, Ali; Saeed, Syed TauseefThe concept of fuzzy calculus in fluid modelling offers a feasible approach to address ambiguity and uncertainty in physical phenomena. This study aims to model and analyse thin film flow of Johnson Segalman nonofluid (JSNF) on a vertical belt in fuzzy environment for lifting and drainage settings. By incorporating Triangular fuzzy numbers (TFNs), a more accurate representation of the uncertain nature of JSNF flow is obtained which leads to a better understanding of fluid behaviour and its potential applications. The fluid problems are modelled with uncertainties and numerically solved through fuzzy extension of He-Laplace algorithm. The validity and convergence of the proposed methodology is checked by computing residual errors in each case. The obtained solutions provide fuzzy velocity profiles and volumetric flow rates in lift and drain cases. As the parameter r - c u t approaches 1, the velocity profiles at the upper and lower bounds merge, indicating solution consistency.Öğe Multiple attribute group decision making approach for selection of robot under induced bipolar neutrosophic aggregation operators(Springer Heidelberg, 2024) Jamil, Muhammad; Afzal, Farkhanda; Maqbool, Ayesha; Abdullah, Saleem; Akgul, Ali; Bariq, AbdulIn current piece of writing, we bring in the new notion of induced bipolar neutrosophic (BN) AOs by utilizing Einstein operations as the foundation for aggregation operators (AOs), as well as to endow having a real-world problem-related application. The neutrosophic set can rapidly and more efficiently bring out the partial, inconsistent, and ambiguous information. The fundamental definitions and procedures linked to the basic bipolar neutrosophic (BN) set as well as the neutrosophic set (NS), are presented first. Our primary concern is the induced Einstein AOs, like, induced bipolar neutrosophic Einstein weighted average (I-BNEWA), induced bipolar neutrosophic Einstein weighted geometric (I-BNEWG), as well as their different types and required properties. The main advantage of employing the offered methods is that they give decision-makers a more thorough analysis of the problem. These strategies whenever compare to on hand methods, present complete, progressively precise, and accurate result. Finally, utilizing a numerical representation of an example for selection of robot, for a problem involving multi-criteria community decision making, we propose a novel solution. The suitability ratings are then ranked to select the most suitable robot. This demonstrates the practicality as well as usefulness of these novel approaches.Öğe Novel insights for a nonlinear deterministic-stochastic class of fractional-order Lassa fever model with varying kernels(Nature Portfolio, 2023) Rashid, Saima; Karim, Shazia; Akguel, Ali; Bariq, Abdul; Elagan, S. K.Lassa fever is a hemorrhagic virus infection that is usually spread by rodents. It is a fatal infection that is prevalent in certain West African countries. We created an analytical deterministic-stochastic framework for the epidemics of Lassa fever employing a collection of ordinary differential equations with nonlinear solutions to identify the influence of propagation processes on infected development in individuals and rodents, which include channels that are commonly overlooked, such as ecological emergent and aerosol pathways. The findings shed light on the role of both immediate and subsequent infectiousness via the power law, exponential decay and generalized Mittag-Leffler kernels. The scenario involves the presence of a steady state and an endemic equilibrium regardless of the fundamental reproduction number, R-0 < 1 , making Lassa fever influence challenging and dependent on the severity of the initial sub-populations. Meanwhile, we demonstrate that the stochastic structure has an exclusive global positive solution via a positive starting point. The stochastic Lyapunov candidate approach is subsequently employed to determine sufficient requirements for the existence and uniqueness of an ergodic stationary distribution of non-negative stochastic simulation approaches. We acquire the particular configuration of the random perturbation associated with the model's equilibrium R-0(s) < 1 according to identical environments as the presence of a stationary distribution. Ultimately, modeling techniques are used to verify the mathematical conclusions. Our fractional and stochastic findings exhibit that when all modes of transmission are included, the impact of Lassa fever disease increases. The majority of single dissemination pathways are less detrimental with fractional findings; however, when combined with additional spread pathways, they boost the Lassa fever stress.Öğe On Solutions of Fractional-Order Gas Dynamics Equation by Effective Techniques(Hindawi Ltd, 2022) Iqbal, Naveed; Akgul, Ali; Shah, Rasool; Bariq, Abdul; Al-Sawalha, M. Mossa; Ali, AkbarIn this work, the novel iterative transformation technique and homotopy perturbation transformation technique are used to calculate the fractional-order gas dynamics equation. In this technique, the novel iteration method and homotopy perturbation method are combined with the Elzaki transformation. The current methods are implemented with four examples to show the efficacy and validation of the techniques. The approximate solutions obtained by the given techniques show that the methods are accurate and easy to apply to other linear and nonlinear problems.Öğe Qualitative analysis and chaotic behavior of respiratory syncytial virus infection in human with fractional operator(Nature Portfolio, 2024) Jamil, Saba; Bariq, Abdul; Farman, Muhammad; Nisar, Kottakkaran Sooppy; Akguel, Ali; Saleem, Muhammad UmerRespiratory syncytial virus (RSV) is the cause of lung infection, nose, throat, and breathing issues in a population of constant humans with super-spreading infected dynamics transmission in society. This research emphasizes on examining a sustainable fractional derivative-based approach to the dynamics of this infectious disease. We proposed a fractional order to establish a set of fractional differential equations (FDEs) for the time-fractional order RSV model. The equilibrium analysis confirmed the existence and uniqueness of our proposed model solution. Both sensitivity and qualitative analysis were employed to study the fractional order. We explored the Ulam-Hyres stability of the model through functional analysis theory. To study the influence of the fractional operator and illustrate the societal implications of RSV, we employed a two-step Lagrange polynomial represented in the generalized form of the Power-Law kernel. Also, the fractional order RSV model is demonstrated with chaotic behaviors which shows the trajectory path in a stable region of the compartments. Such a study will aid in the understanding of RSV behavior and the development of prevention strategies for those who are affected. Our numerical simulations show that fractional order dynamic modeling is an excellent and suitable mathematical modeling technique for creating and researching infectious disease models.Öğe Qualitative analysis and chaotic behavior of respiratory syncytial virus infection in human with fractional operator (vol 14, 2175, 2024)(Nature Portfolio, 2024) Jamil, Saba; Bariq, Abdul; Farman, Muhammad; Nisar, Kottakkaran Sooppy; Akguel, Ali; Saleem, Muhammad Umer[Abstract Not Available]Öğe The stability analysis of a nonlinear mathematical model for typhoid fever disease(Nature Portfolio, 2023) Khan, Ihsan Ullah; Mustafa, Shahbaz; Shokri, Ali; Li, Shuo; Akgul, Ali; Bariq, AbdulTyphoid fever is a contagious disease that is generally caused by bacteria known as Salmonella typhi. This disease spreads through manure contamination of food or water and infects unprotected people. In this work, our focus is to numerically examine the dynamical behavior of a typhoid fever nonlinear mathematical model. To achieve our objective, we utilize a conditionally stable Runge-Kutta scheme of order 4 (RK-4) and an unconditionally stable non-standard finite difference (NSFD) scheme to better understand the dynamical behavior of the continuous model. The primary advantage of using the NSFD scheme to solve differential equations is its capacity to discretize the continuous model while upholding crucial dynamical properties like the solutions convergence to equilibria and its positivity for all finite step sizes. Additionally, the NSFD scheme does not only address the deficiencies of the RK-4 scheme, but also provides results that are consistent with the continuous system's solutions. Our numerical results demonstrate that RK-4 scheme is dynamically reliable only for lower step size and, consequently cannot exactly retain the important features of the original continuous model. The NSFD scheme, on the other hand, is a strong and efficient method that presents an accurate portrayal of the original model. The purpose of developing the NSFD scheme for differential equations is to make sure that it is dynamically consistent, which means to discretize the continuous model while keeping significant dynamical properties including the convergence of equilibria and positivity of solutions for all step sizes. The numerical simulation also indicates that all the dynamical characteristics of the continuous model are conserved by discrete NSFD scheme. The theoretical and numerical results in the current work can be engaged as a useful tool for tracking the occurrence of typhoid fever disease.
