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Öğe Radiative heat transfer in MHD copper-based polymer nanofluid over a sphere using larger radius and inter particle spacing of nanoparticles(Elsevier BV, 2025-06) Adil Darvesh; Imed Boukhris; Luis Jaime Collantes Santisteban; M.S. Al-Buriahi; Zainab Mufarreh Elqahtani; Ali Akgül; Lucerito Katherine Ortiz García; Murad Khan HassaniThe impact of nanoparticle size and interparticles spacing play a crucial role in fluid theology due to its significance on enhance heat transfer performance, which is crucial in many engineering and industrial processes particularly in thermal management systems. Due to this attention, the proposed study aims to explore the influence of nanoparticle radius and inter-particle spacing on thermal transport in a Copper (Cu) Polymer nanofluid over a sphere with radiative and magnetohydrodynamic (MHD) effects. Physical model incorporates Carreau fluid viscosity model. In addition, with incorporation of exponential heat generation and thermal radiation, the analysis reveals how tuning nanoparticle geometry significantly enhances heat transfer performance, which is critical for advanced thermal management systems. The governing nonlinear partial differential equations (PDEs) are transformed into ordinary differential equations (ODEs) using similarity transformations and solved using the well-known bvp4c computational method. Results of proposed study indicate that larger nanoparticles and wider inter-particle spacing improve thermophysical and rheological behavior of fluid specifically thermal conductivity and fluid viscosity, which enhanced heat transport and intensified the temperature profile. Conversely, velocity profile decreases for smaller particle sizes and spacing but improves with increased nanoparticle dimensions.Öğe Mathematical Modelling of Dengue Transmission with Adaptive Fuzzy Backstepping Control and RK-5 Numerical Method(Springer Science and Business Media LLC, 2025-04-25) G. M. Vijayalakshmi; M. Ariyanatchi; Ali AkgülThe aim of this research is to create an adaptive nonlinear fuzzy backstepping robust controller for a dengue disease outbreak model. We use an SIR-SI compartmental mathematical model to analyse the diffusion mechanism of dengue disease. A nonlinear adaptive controller regulates prevention strategies for susceptible human beings and enhances hospitalization-based treatment for the infected people. Besides, the spraying of chemical insecticides will reduce the infected mosquito population. Adaptation laws are used to derive fuzzy system parameters, enhancing the system's adaptability. Then we construct a suitable Lyapunov function, which guarantees convergence, robustness, and stability for a closed-loop system. Finally, we plot all the system's control variables graphically and calculate their numerical approximations using the Runge–Kutta technique of fifth order. These simulations demonstrate that the proposed adaptive controllers can effectively control the dengue disease and ensure the stability of the system. Hence, we conclude that adaptive backstepping control measures can protect more people from dengue infection.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 Numerical Solutions of Fractional Systems Using Bessel Artificial Neural Network Based Integrated Intelligent Computing(ASME International, 2025-03-28) Mariam Sultana; Uroosa Arshad; Ali Akgül; M. KhalidNowadays, fractional differential equations (FDE's), with their numerical solutions, are a developing area of research since differential equations of these sort are a frequent presence in different fields of physical sciences. In this research article, a Bessel Artificial Neural Network Technique (BANNT) has been presented to solve Systems of FDE's where fractional derivative operator (practiced here) is of a newly defined Atangana Baleanu Caputo (ABC) type. ABCFD is a modified version of caputo fractional derivative that helps in solving such systems of FDE's. This technique integrates knowledge about the FDE's into BANNT and the training sets. BANNT is being used repeatedly to solve different variety of problems addressing a wide range of disciplines. After developing the technique, the BANNT is applied to some system of differential equations of the Fractional Order. Numerous illustrations have been presented to elucidate the implementation and efficiency of the BANNT, and the numerical results obtained are then graphically plotted.Öğe Hybrid Fractional Operators: A New Approach with Proportional Derivatives(2025) Alha, Subhash; Akgul, Ali; Khalid, MohdIn this paper, new hybrid fractional operators are introduced, which are generated by replacing classical derivatives with proportional derivatives. To be more precise, we combine regularised Hilfer-Prabhakar (RHP) and two-parameter Atangana-Baleanu (SABC) fractional derivatives with constant proportional derivatives. This paper provides an in-depth analysis of the implications and uses of these hybrid operators as they relate to differential equations with constant proportional derivatives.Öğe Applications of Fractional Order Mathematical Models with an Effective Integral Transform(2025) Karataş, Esra; Toktas, EnisThe Sumudu transform is a type of mathematical integral transform similar to the Laplace and Fourier transforms. It is used to solve differential equations and control engineering problems. By extending the traditional notion of derivatives to non-integer orders, fractional derivatives bring the concept of differentiation to fractional orders. This concept is associated with fractional calculus, a mathematical field that deals with arbitrary, non-integer order differentiation and integration. This study takes into account the logistic equation, the blood alcohol model with unique fractional derivatives, and Newton’s law of cooling in a number of modeling problems. The Sumudu transform is used to get the analytical answers, and figures are used to model the results in various orders. The derivative proposed by Caputo Fabrizio and Atangana Baleanu is extended to fractional derivatives with Mittag-Leffler and exponential-decay kernels. We also investigated the effects of the power-law kernel by Caputo and constant proportional Caputo derivatives. To demonstrate how the answers are simulated, we offer a few figures. We have shown the efficiency of the Sumudu transform on several models.Öğe Investigating slip velocity effects on thermal and mass transport in magnetized nanoparticle squeeze flow via numerical scheme(SAGE Publications, 2025-04-24) Danish Ali; Hakeem Ullah; Mehreen Fiza; Aasim Ullah Jan; Ali Akgül; AS Hendy; Saeed IslamEfficient control over heat and mass transport in confined fluid systems is essential for applications in biomedical devices, lubrication systems, and industrial cooling technologies. However, conventional studies often overlook the combined impact of velocity slip, magnetic effects, and nanoparticle concentration on squeeze flow, leading to gaps in understanding heat and mass transport mechanisms under dynamic compression. This research addresses this gap by investigating the influence of nanoparticle volume fraction, magnetic field intensity, velocity slip, Schmidt number, and squeeze number on the Cu-water based Magnetohydrodynamic (MHD) unsteady squeezing flow using a numerical approach. The governing nonlinear differential equations are solved using the bvp4c solver in MATLAB. Results indicate that the skin friction coefficient decreases with the increasing squeeze number, with values reaching -3.3907 for S = 1.0, aligning closely with already published results. Similarly, the Nusselt number decreases as S increases, with a computed value of 1.1195 at S = 1.0. The application of a stronger magnetic field reduces the velocity profile, while higher Schmidt numbers suppresses diffusion. The slip parameter has negligible impact on the concentration profile, while an increase in the squeeze number slightly elevates the concentration. This study provides quantitative insights into the combined effects of slip velocity, MHD, and nanoparticle concentration on squeeze flow, offering valuable implications for microfluidic cooling systems, biomedical transport, and high-performance lubrication technologies.Öğe Spatio-temporal patterns and Turing–Hopf bifurcation in a spatially extended prey–predator model with ratio-dependent interactions(Springer Science and Business Media LLC, 2025-04-16) Muhammad Waqas Yasin; Nauman Ahmed; Ali Akgül; Muhammad Zafarullah Baber; Dumitru Baleanu; Ovidiu Tintareanu-MirceaIn this manuscript, we investigate the (2+1)-dimensional ratio-dependent prey–predator system. Prey–predator dynamics are a vital component of the eco-system. It provides the basic food for the living organisms. So, we considered the extended prey–predator model. The underlying model has 2 equilibrium points and stability analysis is carried out about the coexistence equilibrium. The condition for the Hopf bifurcation and Turing instabilities are derived. These conditions help to analyze the formation of patterns in the prey–predator system. The dispersion relation shows the changing behavior of Hopf bifurcation and Turing instability from stable to unstable. The bifurcation and Turing instability simulation divide the parametric space into 4 Regions. In Region I, the solution is stable, in Region II there is purely Turing instability, in Region III, there is only Hopf instability and in Region IV there is Hopf as well as Turing instability. Different types of Turing patterns are produced to capture rate parameters. The numerical solution of the model is obtained by positivity preserving finite difference scheme. The applied scheme is von Neumann stable, and consistent with the model. The bounded behavior of a given scheme is established. Mainly, we are focused on the graphical simulations for pattern formation and steady-state analysis. The 3D and 2D visualization for the Turing pattern and numerical solution are drawn for the various parameter values. The numerical simulations endorsed the analytical results.Öğe Coherent manipulation of Goos–Hänchen shifts by forward and backward currents of complex conductivity in chiral medium(Springer Science and Business Media LLC, 2025-04-17) Zia Ul Haq; Iftikhar Ahmad; Bakht Amin Bacha; Ali Akgül; Murad Khan HassaniThe birefringence of reflection and transmission as well as their corresponding Goos-Hänchen shifts are investigated with complex conductivity in a four level chiral atomic medium. The left circularly polarized (LCP) beam and right circularly polarized (RCP) beam obey the normalization condition with forward and backward currents as well as coupled driving fields parameters at the interface of a lossy chiral medium of and polystyrene. For the birefringent transmission, the positive GH-shifts are reported while for the birefringent reflection, the negative GH-shifts are measured. The maximum GH-shift in reflections of RCP and LCP beams is measured to and that in the transmission is measured to with forward and backward currents of complex conductivity. Furthermore, maximum values of GH-shifts in reflection and transmission of LCP beams are calculated to and RCP beams are calculated to with control field Rabi frequency and backward current variation. The results indicate possible uses in the designing of optical and conductive sensors.Öğe Expanding the frontiers of additive manufacturing: Higher microstructure identification through probability modeling(Elsevier BV, 2025-06) Muhammad Shoaib; Muhammad Idrees; Hakeem Ullah; Aasim Ullah Jan; Touqeer Ahmad; Ali Akgül; Magda Abd El-Rahman; Seham M. Al-MekhlafiProbabilistic models and machine learning methods create a step forward in making predictions for additive manufacturing (AM) microstructure. In this probabilistic framework, it became possible to express modifications in the properties of metal, polymer, ceramic, and composite microstructures. Process parameters and material consistency reached maximum levels through the use of statistical modeling along with finite element analysis (FEA) and Gaussian process regression (GPR). Experimental validation through AM process parameters, microstructural values, and material characteristics led to 40 % fewer metal and polymer microstructure variations with simultaneous strength increases. The computational system demonstrated its resistance to process modifications through a validated sensitivity analysis. Additionally covered were scalability issues, computing needs, and possible real-time adaption. These results help AM approaches in aerospace and biomedical engineering to be scalable and performable.Öğe Recent developments in the thermal radiative flow of dusty Ellis trihybrid nanofluid with activation energy using Hamilton-Crosser thermal conductivity model(Elsevier BV, 2025-05) Mostafa Mohamed Okasha; Munawar Abbas; Ali Akgül; Shoira Formanova; Talib K. Ibrahim; Murad Khan HassaniThis study scrutinizes the characteristics of activation energy on Darcy Forchheimer radiative flow of dusty Ellis trihybrid nanofluid over a Riga plate when dust and nanoparticles are present. The goal of the present work is to use the Hamilton-Crosser thermal conductivity model to scrutinize the heat transmission for the Darcy Forchheimer flow of dusty Ellis trihybrid nanofluid. The flow is impacted by heat source with the properties of Marangoni convection. The base fluid, propylene glycol (C3H8O2), is mixed with Ag, TiO2 and Al2O3 nanoparticles. The model is applicable to sophisticated heat transfer systems, including solar energy harvesting and electronic device cooling technologies. Additionally, it finds application in thermal management of industrial processes using nanofluids and aerospace engineering. Using the shooting technique, the numerical results of the governing equations are obtained (RKF-45th). The impacts on dimensionless physical quantities of interest of geometrical and physical properties relevant to this study are analysed using the required tables and figures. The results demonstrated that the Ellis fluid parameter raised the heat transmission, mass transmission rate, and velocity profiles. As the chemical reaction parameter upsurges, the concentration distributions decrease.Öğe A numerical study of the fractional SIR epidemic model of an infectious disease via the reproducing kernel Hilbert space method(Elsevier, 2025) Nourhane Attia; Ali AkgülIn this chapter, we explore the application of the reproducing kernel Hilbert-space (RK-HS) method to solve a fractional SIR epidemic model that is non-linear with unidentified parameters. This model is of significant importance in epidemiology and medical science for understanding the dynamics of disease spread and control. Our contribution lies in the application of the RK-HS method to this particular fractional SIR model, which, to the best of our knowledge, has not been previously explored. The RK-HS method demonstrates consistent convergence between exact and numerical solutions, making it a valuable tool for solving fractional differential equations. Its mesh-free nature adds to its simplicity and effectiveness. The numerical results are discussed, demonstrating the method's efficiency and accuracy through a comparison with the Adomian decomposition method. Our study concludes that the RK-HS method is a powerful and effective tool for solving non-linear fractional SIR models and offers valuable insights into the dynamics of infectious-disease propagation. The method's versatility in handling complex mathematical models paves the way for further research and applications in a variety of scientific fields.Öğe Thermophoretic particle deposition in thermo-bioconvection flow of diamond-SiC-Co₃O₄/water-based trihybrid nanofluid with oxytactic and gyrotactic microorganisms: biotechnological applications(Springer Science and Business Media LLC, 2025-04-09) Ibrahim Mahariq; Riadh Marzouki; Hawzhen Fateh M. Ameen; Munawar Abbas; Barno Abdullaeva; Maawiya Ould Sidi; Abdullah A. Faqihi; Ali Akgül; Ahmed M. GalalThe present study investigates the impacts of heat generation and Marangoni convection on the thermophoretic particle deposition in chemical reactive flow of Diamond -SiC- Co3O4Diamond -SiC- Co3O4WaterWater-based trihybrid nanofluid across a sheet with oxytactic and gyrotactic microorganisms. Gradients of surface tension are varied to find Marangoni convection. It can be used in a variety of industries, including welding, crystal formation, soap film stabilization, and drying silicon wafer. The trihybrid nanofluid Diamond -SiC- Co3O4Diamond -SiC- Co3O4H2OH2O flow model is made up of nanoparticles of diamond ND, and cobalt oxide Co3O4, silicon carbide SiC dissolved in water H2O. This model has applications in advanced bioengineering and environmental processes, including biofuel generation, wastewater treatment, and medication delivery system improvement. Microorganisms improve mass and heat transfer, which is advantageous for biomedical applications and microfluidic systems. Furthermore, industrial processes needing effective heat transfer, such cooling systems in biotechnology labs and reactors, can be optimized by the trihybrid nanofluid’s enhanced thermal characteristics. The constitutive equations were converted into ODEs using similarity variables, and then they were resolved applying MATLAB’s bvp4c function. The outcomes demonstrate that the modified model more exactly indicates higher heat transfer rates than the classical model. Concentration and oxytactic microorganism distributions decrease with increasing thermophoretic parameter.Öğe Reliable numerical scheme for coupled nonlinear Schrödinger equation under the influence of the multiplicative time noise(Springer Science and Business Media LLC, 2025-03-28) Muhammad Zafarullah Baber; Nauman Ahmed; Muhammad Waqas Yasin; Muhammad Sajid Iqbal; Ali Akgül; Murad Khan Hassani; Muhammad JawazIn this study, we consider the coupled nonlinear Schrödinger equation under the influence of the multiplicative time noise. The coupled nonlinear Schrödinger equation, which shows the complex envelope amplitudes of the two modulated weakly resonant waves in two polarisations and is used to describe the pulse propagation in high birefringence fibre, has several uses in optical fibres.query:Journal instruction requires a city for affiliations; however, these are missing in affiliation [6]. Please verify if the provided city are correct and amend if necessary. The underlying model is analyzed numerically and analytically as well. For the computational results, the proposed stochastic backward Euler scheme is developed and its consistency is derived in the mean square sense. For the linear stability analysis, Von-Neumann criteria is used, given proposed stochastic scheme is unconditionally stable. The exact optical soliton solutions are constructed with the help of the [Formula: see text]-model expansion technique, which provided us with the Jacobi elliptic function solutions that will explore optical solitons and solitary waves as well. The initial and boundary conditions are constructed for the numerical result by some optical soliton solutions. The 3D, 2D and corresponding contour plot are drawn for the different values of noise. Mainly, the comparison of results is shown graphically in 3D and line plots for some newly constructed solutions by selecting suitable parameters value.Öğe Corrigendum to “Second Order Slip Micropolar MHD Hybrid Nanofluid Flow over a Stretching Surface with Uniform Heat Source and Activation Energy: Numerical Computational Approach” [Results in Engineering 25 (2025) 104060](Elsevier BV, 2025-03) Syed Arshad Abas; Hakeem Ullah; Mehreen Fiza; Ali Akgül; Aasim Ullah Jan; Magda Abd El-Rahman; Seham M. Al-MekhlafiThe authors regrets that the last name of fourth author and the grant number in the acknowledgement section has been corrected as shown below: 1. Correct last name of Ali Akgul as Akgül2. Corrected Acknowledgment: Magda Abd El-Rahman extends their appreciation to the Deanship of Research and Graduate Studies at King Khalid University for funding this work through Large Research Project under grant number RGP2/39/46>.The authors would like to apologise for any inconvenience caused.Öğe Corrigendum to “Thermal radiation effects of Ternary Hybrid Nanofluid flow in the Activation Energy: Numerical Computational Approach” [Results in Engineering, 25 (2025) 104062](Elsevier BV, 2025-03) Hakeem Ullah; Syed Arshad Abas; Mehreen Fiza; Aasim Ullah Jan; Ali Akgul; Magda Abd El-Rahman; Seham M. Al-MekhlafiThe authors regrets that the last name of fourth author and the grant number in the acknowledgement section has been corrected as shown below: 1. Correct last name of Ali Akgul as Akgül2. Corrected Acknowledgment: Magda Abd El-Rahman extends their appreciation to the Deanship of Research and Graduate Studies at King Khalid University for funding this work through Large Research Project under grant number RGP2/39/46>.The authors would like to apologise for any inconvenience caused.Öğe MHD hybrid nanofluid flow via varying porous space amid two stretchable rotating disks: A numerical approach(SAGE Publications, 2025-03-17) Danish Ali; Hakeem Ullah; Mehreen Fiza; Aasim Ullah Jan; Ali Akgül; A.S. Hendy; Seham M Al-MekhlafiThis study investigates the thermal performance enhancement achievable through the utilization of hybrid nanofluids (HNF) in variable porous media subjected to Magnetohydrodynamic (MHD) effects in a Casson fluid with two stretchable rotating disks. In the present study, the titanium dioxide ((Formula presented.)) and silver ((Formula presented.)) nanoparticles are suspended in water, which served as the base fluid. The governing equations are derived using similarity transformations and solved numerically using the bvp4c method achieving convergence with an accuracy tolerance of (Formula presented.). The study explores the influence of variable porosity parameter, stretching parameters, Lorentz force, Casson parameter and Biot’s number on velocity, pressure, and temperature distributions. The findings reveal that axial velocity of the hybrid nanofluid increases with lower disk stretching and Casson parameters, while temperature declines with an increase in the variable porosity factor. The study also highlights that radial velocity variations depend significantly on disk stretching parameters, with opposing trends observed between the lower and upper disks. Enhanced thermal profiles are noted with increasing Biot numbers, whereas magnetic effects suppress tangential velocity. Moreover, the results reveal that hybrid nanofluids significantly enhance heat transfer rates compared to traditional nanofluids, with up to a 23% improvement observed for specific parameter settings. This work highlights the practical applicability of hybrid nanofluids in thermal management systems, such as cooling technologies in aerospace and energy systems. The high thermal conductivity of the Ag-TiO2 hybrid nanofluid makes it well-suited for cooling in microelectronic devices, where efficient heat dissipation is critical. Enhanced heat transfer properties are advantageous in solar collectors and geothermal systems, where maximizing energy efficiency through effective heat transport is essential. The model’s improved flow and thermal behaviors could contribute to efficient engine cooling, lubricant systems, and fuel cell performance, especially under high-performance and variable porosity conditions in aerospace and automobile industries.Öğe Analytical dynamics to the interactions of a diffusive mussel–algae model(Elsevier BV, 2025-06) Muhammad Jawaz; Muhammad Shahzad; Nauman Ahmed; Muhammad Zafarullah Baber; Muhammad Iqbal; Ali AkgülThis paper examines the diffusive mussel–algae model and explores soliton solutions and wave structures using advanced analytical techniques, particularly the new auxiliary equation method. The proposed method reveals a variety of solution types, including hyperbolic, parabolic, and mixed forms. These closed-form results provide the nature of the current problem. These solutions are validated against known results and numerical simulations. Additionally, we describe two-dimensional and three-dimensional graphical representations of the solutions, illustrating their spatial and temporal dynamics. This study enhances the theoretical understanding of mussel algae interactions and offers practical insights for eco-logical management, showcasing the contributions of the approach to resolving complex ecological dynamicsÖğe Modeling and analyzing the dynamics of brucellosis disease with vaccination in the fractional derivative under real cases(Springer Science and Business Media LLC, 2025-03-21) Bashir Al-Hdaibat; Muhammad Altaf Khan; Irfan Ahmad; Ebraheem Alzahrani; Ali AkgulThe present explores the brucellosis model in non-integer derivative by utilizing the real statistics from the mainland China. The formulation of the model first presented in integer order derivative and subsequently extended to fractional order using the Caputo derivative. The existence and uniqueness of the nonlinear fractional system is confirmed, which is the important requirement for a fractional nonlinear model. The local asymptotical stability of the fractional model when R-0 < 1 is analyzed. When R-0 <= 1, the model is found globally asymptotically stable. The existence of an endemic equilibria is given and found that the model has a unique endemic equilibrium. Using the reported cases of brucellosis in mainland China from 2004 to 2018 are considered. Graphical results for data fitting in cumulative and daily wise are presented with their respective residuals. The basic reproduction number is obtained from data fitting is R-0 = 1.0327. A numerical scheme for the Caputo case is provided in detailed and later the scheme was used to obtain the numerical results graphically. Various results regarding the disease curtail are presented graphically, that will be helpful for the disease elimination in the long run. The public health authority and the health agencies can utilize this work confidently for brucellosis control in mainland China.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.
