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Öğe A comparative study of two-phase flow of an infusion of gyrotactic microorganisms and dust particles in trihybrid nanofluid with melting phenomena and Soret–Dufour effects(Springer Science and Business Media LLC, 2024-12-27) Munawar Abbas; Mostafa Mohamed Okasha; Nargiza Kamolova; Ali Hasan Ali; Ibrahim Mahariq; Ali Akgül; Ahmed M. GalalBackground: This investigation's main goal is to examine the impacts of Soret and Dufour on Marangoni convective flow of dusty trihybrid nanofluid over a Plate containing gyrotactic microorganisms, heat generation, and melting processes. A trihybrid nanofluid containing nanoparticles of Magnesium oxide MgO, Titanium dioxide TiO2, and Silver Ag in a water-based fluid. This proposed model is used to contrast the activity of dual well-known trihybrid nanofluid models for thermal conductivity, the Hamilton–Crosser model and the Yamada-Ota model. Methods: An appropriate similarity variable is utilized to reduce governing partial differential equations to couple nonlinear ordinary differential equations. After that the system of equations is numerically solved using the effective Bvp4c Method. Applications: Especially in high-performance cooling applications like electronics and aeronautical engineering, this comprehensive study could be very helpful in enhancing thermal management systems. With regard to the introduction of bio-convection brought about by the presence of gyrotactic bacteria, this model can be applied to advanced bio-engineering applications such as bioreactors and medical equipment. Understanding the behavior of these complex fluids under gradients in concentration and Soret–Dufour effects may also lead to improvements in the production and processing of materials, where precise temperature and concentration controls are critical. Results: The temperature and velocity distributions of the dusty ternary hybrid nanofluid are shown to be predominant with higher melting parameters; while, the concentration and microorganism distributions show the opposite pattern.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 A new plentiful solutions for nanosolitons of ionic (NSIW) waves spread the length of microtubules in (MLC) living cells(Springer Science and Business Media LLC, 2025-02-20) Loubna Ouahid; M. A. Abdou; Jameelah S. Al Shahrani; A. Mohamed Abdel-Baset; Ali Akgül; Murad Khan HassaniThis article describes the developed Paul-Painlike method (PPM) to provide striking ODE of the nanosoliton of the ionic waves (NSIW) that spread the length of microtubules in live cells. Furthermore, Auxiliary Equation Approach (AEA) and Sardar Sub Equation Approach (SSEA) have been utilized similarly and concurrently to determine solutions for this particular model. In providing a physical explanation, various solitary wave structures are visually represented. These solutions include the anti-kink, kink shape, singular kink wave shape, and periodic bright, bright-dark and dark-singular soliton solution. Additionally, graphical illustrations (both 2-D and 3-D) demonstrate how the various parameters utilized affect the validity of analytical results. Furthermore, the uniqueness of the solutions we derived is highlighted by comparing the differences with earlier solutions of the model. The solutions produced may be beneficial in a number of significant investigations in medicine, as well as biology. The results demonstrate the effectiveness of the proposed techniques for determining many optical solitons of nonlinear evolution equations.Öğe Abundant soliton solutions in saturated ferromagnetic materials modeled via the fractional Kraenkel–Manna–Merle system(Springer Science and Business Media LLC, 2025-02-25) Loubna Ouahid; Maryam Alshahrani; A. Mohamed Abdel-Baset; M. A. Abdou; Ali Akgül; Murad Khan HassaniThe Modified Generalized Riccati Equation Mapping Technique is employed to discover novel solutions for the Fractional Kraenkel-Manna-Merle system. In this system, a nonlinear of ultra_short wave pulse propagates across saturated ferromagnetic-materials by very low conductance. The beta-derivative is used to analyze the fractional performance of the proposed system. Combo-multi soliton shape, anti-bell-shaped solitons, kink bright-dark shape are the results of the applications. The results obtained are original and unfamiliar to the reader, as they had not been published previously. For a few chosen solutions, two dimensional, and three dimensional are shown to offer important insights into the behavior and properties of the solutions. These detailed exact solutions and wave phenomena contribute to a deeper understanding of this equation. This work opens up new possibilities for exploring wave phenomena in more complexly structured nonlinear.Öğe Characteristics of elastic deformation on Boger hybrid nanofluid using modified Hamilton–Crosser model: a local thermal nonequilibrium model(Springer Science and Business Media LLC, 2025-01-15) Mostafa Mohamed Okasha; Munawar Abbas; Muyassar Norberdiyeva; Dyana Aziz Bayz; Ibrahim Mahariq; Ansar Abbas; Ali Akgül; Ahmed M. GalalIn this investigation, elastic deformation characteristics on surface tension gradient flow of Boger hybrid fluid over a plate using modified Hamilton-Crosser Model are examined. The modeling takes into account the influence of local thermal nonequilibrium (LTNE). The expanded Cattaneo-Christov theory, which takes relaxation times into account, is the current theory for mass and heat transmission. Excellent heat transmission is offered by the energy equation-based LTNE model for both the liquid and solid phases. Therefore, in this work, two thermal distributions are used for both the liquid and solid phases. It can be applied to materials science to improve heat transmission procedures and nanotechnology, where accurate temperature control is essential for applications like electronic device cooling systems, microfluidic devices, and biomedical applications. Better modeling of complicated fluids in these systems is made possible by the addition of elastic deformation and LTNE, which enhances the systems' stability and efficiency, particularly under nonequilibrium heat conditions. The Bvp4c method is used to solve the model equation system numerically once the relevant similarity variables have condensed. To illustrate how different physical conditions affect the involved distributions, the findings are graphed. Results show that Boger fluid exhibits enhanced velocity at increasing solvent percent parameter values.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 Comparison study of modified and classical Hamilton-Crosser models for electrophoretic and thermophoretic particle deposition in stagnation point flow of diamond -SiC-Co3O4/diathermic oil-based trihybrid nanofluid(Springer, 2024) Ahmed M. Galal; Sahar Ahmed Idris; Munawar Abbas; Shaxnoza Saydaxmetova; Ali Hasan Ali; Humaira Kanwal; Ali AkgülThe current work examines the impact of heat generation on the stagnation point flow of a magnetized trihybrid nanofluid around a rotating sphere with electrophoretic and thermophoretic particle deposition. The trihybrid (Diamond –SiC–Co3O4/Do) nanofluid flow model consists of nanoparticles of Cobalt oxide (Co3O4), diamond (ND), and silicon carbide (SiC) dissolved in diathermic oil (DO). By comparing the modified model with the classical Hamilton–Crosser model, this study aims to investigate the heat transfer rate of a trihybrid nanofluid based on diamond –SiC–Co3O4/ diathermic oil. Through the analysis of trihybrid nanofluids based on diamond –SiC–Co3O4/Do diathermic oil, this model can optimize heat transmission in systems that need effective thermal management, like chemical reactors, electronics cooling, and energy storage. Trihybrid nanofluids' special qualities improve thermal conductivity, stability, and deposition control, which raises operational efficiency and dependability. It also helps with the design of sophisticated cooling systems for automotive and aerospace applications. These governing equations were solved with MATLAB's bvp4c tool after being transformed into ordinary differential equations via similarity variables. Results imply that, when compared to the classical model, the modified model accurately predicts higher heat transfer rates. As a consequence, trihybrid nanofluid heat transfer properties are better understood and thermal conductivity models are more accurate. The study shows that the concentration profile improved for both classical and modified Hamilton–Crosser models to enhance the values of electrophoretic particle deposition; while, inverse behavior is observed for thermophoretic particle deposition.Öğe Computational analysis of Yamada–Ota and Xue models for surface tension gradient impact on radiative 3D flow of trihybrid nanofluid with Soret–Dufour effects(Springer Science and Business Media LLC, 2024-12-23) Sayer Obaid Alharbi; Munawar Abbas; Ahmed Babeker Elhag; Abdullah A. Faqihi; Ali AkgülThis article discusses the significance of Soret and Dufour, non-uniform heat generation, activation energy on radiative 3D flow of trihybrid nanofluid over a sheet with Marangoni convection. The energy equation takes into consideration the impacts of the heat generation, while the concentration equation takes activation energy into account. This trihybrid nanofluid is based on ethylene glycol and contains nanoparticles of titanium dioxide (TiO2), cobalt ferrite (CoFe2O), and aluminum oxide (Al2O3). For the case of trihybrid nanoparticles, the Yamada–Ota and Xue nanofluid models have been modified. This model is helpful for optimizing heating and cooling systems in fields like energy systems, microelectronics, and aerospace engineering where exact control of thermal properties is essential. By adjusting the characteristics of nanofluids, it also enhances heat transfer rates, which is a critical component in the development of solar collectors and high-efficiency heat exchangers. By using the necessary similarity transformations, non-linear ODEs are obtained from the controlling PDEs. The shooting method (BVP4c) can be utilized to solve this system of highly nonlinear equations numerically. As the surface tension gradient parameter is increased, the velocity distribution, mass transfer, and heat transfer rates all increase but the performance of the thermal and solutal profiles is opposite.Öğe Dynamical analysis of fractional hepatitis B model with Gaussian uncertainties using extended residual power series algorithm(Springer Science and Business Media LLC, 2025-03-07) Qursam Fatima; Mubashir Qayyum; Murad Khan Hassani; Ali AkgülHepatitis B virus (HBV) is a significant global health concern, causing acute and chronic liver diseases, including cirrhosis and hepatocellular carcinoma. This manuscript extends existing mathematical models for HBV by introducing a treatment compartment to improve understanding, diagnosis, and treatment strategies. A stability analysis is conducted for disease-free equilibrium and to address the inherent uncertainties in parameter values, Gaussian fuzzy numbers are incorporated, resulting in a more realistic predictive framework. For solution purposes, the extended residual power series algorithm, which combines the Taylor series with a residual function and an integral transform, is applied. The accuracy of the obtained solutions is assessed by calculating the associated errors. The robustness of the model is further evaluated using r-cut values for lower and upper bounds.A graphical analysis is also performed to examine the influence of different parameters on the solution profiles, enhancing the understanding of disease dynamics. The analysis reveals that the proposed methodology effectively explains the dynamics of epidemic systems and provides new perspectives with potential applications in biology, engineering, and medicine.Öğe Mathematical analysis and pattern formation in diffusive predator–prey system(Springer Science and Business Media LLC, 2025-01-07) Nauman Ahmed; Muhammad Waqas Yasin; Ali Akgül; Dumitru Baleanu; Ovidiu Tintareanu-MirceaPrey-predator interactions are modeled using various dynamical systems and these interactions are affected by several factors. The predation rate of prey, reproduction rate, and prey use various strategies to avoid predation, the movement of the prey and predator species, food, and secured shelter can lead to the emergence of various types of patterns. These patterns in the prey-predator dynamics explain the complicated ecosystem. A reaction-diffusion prey-predator model with harvesting in predator is numerically investigated. A conditionally positivity preserving scheme is used. The von Neumann technique is used for the stability analysis. The Taylor series is used for the consistency analysis and discrete approximation is consistent with the underlying model. Pattern formation is observed for the governing model. The spot, stripe, and spot-stripes patterns are successfully gained that describe the complicated dynamics of the prey-predator dynamics. 3D and 2D simulations are drawn for the underlying model. The underlying model has two equilibria, both are successfully gained. All the theoretical results are verified through the simulations.Öğe Modeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approach(Springer Science and Business Media LLC, 2024-12-28) Mubashir Qayyum; Qursam Fatima; Ali Akgül; Murad Khan HassaniThe current manuscript presents a mathematical model of dengue fever transmission with an asymptomatic compartment to capture infection dynamics in the presence of uncertainty. The model is fuzzified using triangular fuzzy numbers (TFNs) approach. The obtained fuzzy-fractional dengue model is then solved and analyzed through fuzzy extension of modified residual power series algorithm, which utilizes residual power series along with Laplace transform. Numerical analysis has also been performed in this study and obtained results are shown as solutions and residual errors for each compartment to ensure the validity. Graphical analysis depict the model’s behavior under varying parameters, illustrating contrasting trends for different values of and examining the impacts of transmission and recovery rates on dengue model in uncertain environment. The current findings highlighted the effectiveness of proposed uncertainty in epidemic system dynamics, offering new insights with potential applications in other areas of engineering, science and medicine.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.Öğe Subdivision collocation method: a new numerical technique for solving hyperbolic partial differential equation in non-uniform medium(Springer Science and Business Media LLC, 2025-03-12) Safia Malik; Syeda Tehmina Ejaz; Ali AkgülThis paper deals with a new numerical technique for solving the second order linear homogeneous and inhomogeneous hyperbolic partial differential equation with variable and constant coefficients. In this technique, the time derivative is described using a finite difference technique, while the collocation method based on subdivision scheme is used to interpose the space dimension. The convergence and error estimation of the proposed technique along with comparison have been presented in this paper. In terms of computational efficiency, our technique yields a solution that is identical to existing works. Furthermore, the applicability and effectiveness of proposed technique are illustrated with numerical examples.Öğe The performance evolution of Xue and Yamada-Ota models for local thermal non equilibrium effects on 3D radiative casson trihybrid nanofluid(Springer Science and Business Media LLC, 2025-03-01) Ahmed M. Galal; Ali Akgül; Sahar Ahmed Idris; Shoira Formanova; Talib K. Ibrahim; Murad Khan Hassani; Abdullah A. Faqihi; Munawar Abbas; Ibrahim MahariqThe proposed study investigates the characteristics of Stefan blowing and activation energy on MHD Casson Diamond-[Formula: see text][Formula: see text]based trihybrid nanofluid over a sheet with LTNECs (local thermal non-equilibrium conditions) and permeable medium. The significance of Marangoni convection as well as heat generation are considered. In order to examine the properties of heat transmission in the absence of local thermal equilibrium conditions, this paper makes use of a simple mathematical model. Local thermal non-equilibrium situations typically result in two discrete and crucial temperature gradients in both the liquid and solid phases. In systems where material qualities and heat transfer efficiency are crucial, the utilization of Xue model and Yamada-Ota model and to assess the thermal conductivity of the nanofluid adds a comparison dimension and enables optimized design. The controlling partial differential equations are reduced to non-linear ordinary differential equations using an appropriate similarity transformation. The Bvp4c technique is used to resolve the resulting equations numerically. Applications in modern thermal management systems, especially those requiring precise heat transfer control (e.g., electronic cooling, medicinal devices, energy systems), will benefit greatly from this work. The model is especially applicable to processes where chemical reactions and internal heat sources are important, like in catalytic reactors and combustion systems, because it takes into account activation energy and heat generating effects. The findings indicate that when the value of the interphase heat transmission factor increases, the solid phase's temperature profile and liquid phase heat transfer rate drop.Öğe Use of fractional calculus to avoid divergence in Newton-like solver for solving one-dimensional nonlinear polynomial-based models(Elsevier BV, 2025-04) Sania Qureshi; Amanullah Soomro; Ioannis K. Argyros; Krzysztof Gdawiec; Ali Akgül; Marwan AlquranThere are many different fields of study where nonlinear polynomial-based models arise and need to be solved, making the study of root-finding iterative solvers an important topic of research. Our goal was to use the two most significant fractional differential operators, Caputo and Riemann–Liouville, and an existing time-efficient three-step Newton-like iterative solver to address the growing interest in fractional calculus. The classical solver is preserved alongside a damping term created within it that tends to 1 as the fractional order α approaches 1. The solvers’ local and semi-local convergence are investigated, and the stability trade-off with convergence speed is discussed at length. The suggested fractional-order solvers are tested on a number of nonlinear one-dimensional polynomial-based problems that come up in image processing, mechanical design, and civil engineering, such as beam deflection; and many more.
