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Öğe A hybrid fractional model for cervical cancer due to human papillomavirus infection(Elsevier BV, 2025-03) Ali Akgül; Nauman Ahmed; Sadiya Ali Rano; Qasem Al-MdallalNumerous scientific and engineering applications exist for thermofluids. The primary cause of cervical cancer is the human papillomavirus (HPV), and thermos-fluid is crucial for identifying, treating, and understanding the cancerous phenomenon. In this work, a hybrid fractional order mathematical model of cervical cancer with modified parameters is studied. The proposed model consists of three fractional order nonlinear differential equations. The Grünwald Letnikov method is used to approximate the hybrid operator. A nonstandard finite difference scheme for the GL approximation is obtained to study the proposed model. Stability analysis of the used method is given, existence and uniqueness of solution to the hybrid model are given. Comparative studies between the two schemes is given. Convergence of the state variables is also shown to converge to true equilibrium points according to the stability conditions of the reproductive number. The effect of the order of fractional derivatives can also be observed in the simulations. In the end, concluding remarks are also given in the conclusion section that reflect the whole current research.Öğe Analytic solutions of the time-fractional Boiti-Leon-Manna-Pempinelli equation via novel transformation technique(Springer Science and Business Media LLC, 2025-05-20) Bushra Yasmeen; Khalil Ahmad; Ali Akgül; Qasem Al-MdallalThis paper presents new analytical solutions for the time-fractional Boiti-Leon-Manna-Pempinelli (BLMP) equation, a crucial model for physical phenomena. Our approach yields novel wave solutions, whose propagation and dynamics are examined for diverse parameter values. The obtained solutions contain rational and natural logarithm functions. The graphical representations of the attained solutions are represented by plotted graphs with suitable parameters. The plotted graphs show different solitons and nonlinear wave solutions. The examination of these solutions involves a comprehensive analysis of their propagation and dynamics through analytic techniques. Our results with existing literature and found that our approach yields more accurate and efficient solutions. The novelty of these solutions is essential for understanding nonlinear behavior and natural phenomena. By developing analytical methods for nonlinear equations, this work advances our knowledge of complex systems. The results provide valuable insights into the equation’s behavior, shedding light on the underlying physical mechanisms. This research contributes to the development of analytical methods for nonlinear equations, fostering future research in the field. The findings are relevant to various areas of physics, including wave dynamics and nonlinear systems.Öğe Comparative analysis of hall current impact on MHD laminar surface tension gradient 3D flow of propylene glycol based tetra hybrid nanofluid with generalized fick's and fourier's perspective(Elsevier BV, 2025-03) Munawar Abbas; Shirin Shomurotova; Qasem Al-Mdallal; Ali Akgül; Zuhair Jastaneyah; Hakim AL GarallehExamine the significance of the Cattaneo-Christov flux model on the Marangoni convection 3D flow of tetra hybrid nanofluid combined with Hall current in the present study. When exposed to a fluctuating magnetic flux, it demonstrates electrical conductivity over a stretchy sheet. Using the Cattaneo-Christov double diffusion (CCDD) model, the problem is simulated. In this work, the CCDD model is used to analyze the mass and heat transmission tetra hybrid nanofluid. Basic Fourier's and Fick's laws are generalized by their application. A tetra hybrid nanofluid consisting of Molybdenum disulfide (Mos2), copper (Cu), Silicon dioxide (SiO2) and cobalt ferrite (CoFe2o4), propylene glycol (C3H8O2) as the base fluid is used. This model is essential for precisely predicting the behaviors of heat transfer in nanofluid flows since it takes thermal relaxation time into consideration. Its uses include optimizing heat exchanger performance, enhancing cooling systems in electronics, and better thermal management in microfluidic devices. The basic set of equations is resolved employing the numerical technique (bvp4c). The nanofluid, hybrid, trihybrid, and tetra hybrid nanofluid graphs are all compared. The stretching ratio parameter indicates rising trends in the flow distributions, although the opposite performance is observed for thermal and concentration distributions. Rate of heat and mass transmission improve of tetra hybrid, trihybrid, hybrid nanofluids as increase the values of Marangoni convection.Öğe Exploring the fixed point theory and numerical modeling of fish harvesting system with Allee effect(Springer Science and Business Media LLC, 2025-04-24) Muhammad Waqas Yasin; Mobeen Akhtar; Nauman Ahmed; Ali Akgül; Qasem Al-MdallalFish harvesting has a major role in nutritive food that is easily accessible for human nourishment. In this article, a reaction-diffusion fish harvesting model with the Allee effect is analyzed. The study of population models is a need of this hour because by using precautionary measures, mankind can handle the issue of food better. The basic mathematical properties are studied such as equilibrium analysis, stability, and consistency of this model. The Implicit finite difference and backward Euler methods are used for the computational results of the underlying model. The linear analysis of both schemes is derived and schemes are unconditionally stable. By using the Taylor series consistency of both schemes is proved. The positivity of the Implicit finite difference scheme is proved by using the induction technique. A test problem has been used for the numerical results. For the various values of the parameters, the simulations are drawn. The dynamical properties of continuous models, like positivity, are absent from the simulations produced by the backward Euler scheme. Implicit finite difference scheme preserves the dynamical properties of the model such as positivity, consistency, and stability. Simulations of the test problem prove the effectiveness of the Implicit finite difference scheme.Öğe Nonlinear normalized fractional electroosmotic spacelike fluid model(Elsevier BV, 2025-03) Talat Körpinar; Zeliha Körpinar; Ali Akgül; Qasem Al-MdallalIn this paper, we present optical recursively fractional SKμ−electroosmotic fractional recursivelySKμ−energy. Also, we have spacelike microfluidicsfractional SKμ− electroosmotic recursively tension energy. Moreover, we construct main Katugampola recursive-normal hyperbolic fractional KFα−tension field in hyperbolic space. Finally, we characterize spacelike radiative recursively fractional SKμ− phase in hyperbolic space.
