Partial Differential Equations in Applied Mathematics最新文献_第5页

Data analysis of entropy generation in quadratic radiative with chemically reactive Williamson fluid flow past an inclined porous sheet 二次辐射中化学反应Williamson流体流过倾斜多孔板的熵生成数据分析

Partial Differential Equations in Applied Mathematics Pub Date : 2025-07-23 DOI: 10.1016/j.padiff.2025.101266

Md. Yousuf Ali, Mizanur Rahman, Md. Shakib Hossain, Mst. Sharmin Akter, Noor Muhammad, Atia Sanjida Talukder

{"title":"Data analysis of entropy generation in quadratic radiative with chemically reactive Williamson fluid flow past an inclined porous sheet","authors":"Md. Yousuf Ali, Mizanur Rahman, Md. Shakib Hossain, Mst. Sharmin Akter, Noor Muhammad, Atia Sanjida Talukder","doi":"10.1016/j.padiff.2025.101266","DOIUrl":"10.1016/j.padiff.2025.101266","url":null,"abstract":"<div><div>Data analysis (DA) is crucial in materials science and engineering for optimizing heat and mass transport processes. This study investigates the impact of magneto-hydrodynamics (MHD), quadratic radiation, and chemical reactions on entropy generation in Williamson fluid over an inclined porous sheet (IPS). It uses a numerical approach that integrates the 6th-order Runge-Kutta (R-K) method with the Nachtsheim-Swigert (N-S) shooting technique after transforming the governing equations into ordinary differential equations (ODEs). The research aims to elucidate the entropy generation dynamics of the Williamson fluid, examining the effects of quadratic radiative MHD chemical reactions. The key novelty of this work is that for 0.5 ≤ <em>Kr</em> ≤ 2.5, entropy production increases by 90.09% with linear radiation and by 114.60% with quadratic radiation, with the increase being higher for quadratic radiation. However, entropy generation for quadratic radiation is 14.10% lower than for linear radiation at <em>Kr</em> = 0.5. For an inclined sheet, it is 8.14% less than for a flat sheet at <em>K</em> = 2.5, and for Williamson fluid, it is 3.76% less than for Newtonian fluid at a diffusion coefficient of <em>ϑ</em> = 1.0. Additionally, the temperature increases in both the linear as well as quadratic radiation situations when the Williamson and radiation parameters increase. Regression analysis confirms the model's durability and accuracy at a 95% confidence level, with an <em>R</em><sup>2</sup> value of 99.92% and a strong positive correlation of over 99% between chemical processes and entropy creation. Understanding entropy production is crucial for optimizing cooling systems and heat exchangers, including biotechnology.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"15 ","pages":"Article 101266"},"PeriodicalIF":0.0,"publicationDate":"2025-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144724411","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Analysis of MHD radiative flow of ternary hybrid nanofluid over a porous stretching surface 多孔拉伸表面三元混合纳米流体MHD辐射流分析

Partial Differential Equations in Applied Mathematics Pub Date : 2025-07-23 DOI: 10.1016/j.padiff.2025.101267

Shital Sobale , Jagadish V. Tawade , Pooja Bagane , Vediyappn Govindan , Barno Abdullaeva , Hawzhen Fateh M. Ameen , Manish Gupta , Nadia Batool

{"title":"Analysis of MHD radiative flow of ternary hybrid nanofluid over a porous stretching surface","authors":"Shital Sobale , Jagadish V. Tawade , Pooja Bagane , Vediyappn Govindan , Barno Abdullaeva , Hawzhen Fateh M. Ameen , Manish Gupta , Nadia Batool","doi":"10.1016/j.padiff.2025.101267","DOIUrl":"10.1016/j.padiff.2025.101267","url":null,"abstract":"<div><div>The present work focuses on the exploration of MHD ternary hybrid nanofluid (THNF) flow of boundary layer past a porous stretching surface. In this investigation, we have analysed how various sources such as magnetic field, porosity, heat generation, radiation affect the flow dynamics. The novelty of the work is to understand the heat transfer phenomenon of <span><math><mrow><mi>A</mi><msub><mi>l</mi><mn>2</mn></msub><msub><mi>O</mi><mn>3</mn></msub><mo>,</mo><mo>−</mo><mi>T</mi><mi>i</mi><msub><mi>O</mi><mn>2</mn></msub><mo>−</mo><mi>A</mi><mi>g</mi><mo>/</mo><mi>w</mi><mi>a</mi><mi>t</mi><mi>e</mi><mi>r</mi></mrow></math></span> hybrid nanofluid subjected to magnetic field, viscous dissipation, radiation and porosity effects. of To understand the flow behaviour better associated partial differential equations were transformed to ordinary differential equations via similarity transformations. We have explored this resulting system through MATLAB bvp4c. The results showed that thermal radiation, solid volume fraction improved heat transfer in THNFs as compared to HNFs. By varying the values of various parameters of flow like solid volume fraction, magnetic field parameter, radiation parameter, permeability parameter we have thoroughly studied and compared the flow dynamics with the previously established results. The study has real world applications involving solar plants, applications demanding improved heat transfer and energy saving applications such as air coolers etc.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"15 ","pages":"Article 101267"},"PeriodicalIF":0.0,"publicationDate":"2025-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144724517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Influence of heat source on Casson nanofluid flow over an exponentially stretching sheet 热源对卡森纳米流体在指数拉伸薄片上流动的影响

Partial Differential Equations in Applied Mathematics Pub Date : 2025-07-22 DOI: 10.1016/j.padiff.2025.101262

Sangamesh , K.R. Raghunatha , Ali J. Chamkha , Vinod Y

{"title":"Influence of heat source on Casson nanofluid flow over an exponentially stretching sheet","authors":"Sangamesh , K.R. Raghunatha , Ali J. Chamkha , Vinod Y","doi":"10.1016/j.padiff.2025.101262","DOIUrl":"10.1016/j.padiff.2025.101262","url":null,"abstract":"<div><div>The research examines the behaviour of nanofluid flow, incorporating Casson fluid properties and a heat source, as it moves over a sheet that stretches exponentially at the stagnation point. The interplay of Brownian motion and thermophoretic properties adds to the complexity, creating a coupled nonlinear boundary-value problem (BVP). The original partial differential equations (PDEs) are converted into ordinary forms by applying proper similarity conversions. Initially formulated for an infinite domain [0, ∞), the problem was then converted to a finite domain [0, 1] using wavelet transformations. The Bernoulli wavelet method (BWM) was employed to numerically solve the transformed equations within the MATHEMATICA 12 platform. The obtained findings are extremely compared with earlier research that examined various specific scenarios within the problem. A detailed investigation of the physical limitations is conducted and the numerical results are visually presented to provide clear illustrations. A higher Prandtl number leads to reduced thermal diffusivity, resulting in a thinner thermal boundary layer and steeper temperature gradients concentrated near the surface. Similarly, an increase in the Lewis number lowers molecular diffusivity, producing a more confined solutal boundary layer. The presence of an internal heat source further elevates fluid temperature near the stretching sheet, expanding the thermal boundary layer due to added thermal energy.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"15 ","pages":"Article 101262"},"PeriodicalIF":0.0,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144704591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Computational assessment of local thermal non-equilibrium effects on non-darcy chemical reactive flow of boger hybrid nanofluid with elastic deformation 弹性变形boger混合纳米流体局部热非平衡对非达西化学反应流动影响的计算评估

Partial Differential Equations in Applied Mathematics Pub Date : 2025-07-17 DOI: 10.1016/j.padiff.2025.101260

Mostafa Mohamed Okasha , Mohammed Qader Gubari , Hawzhen Fateh M. Ameen , Munawar Abbas , Muyassar Norberdiyeva , Wei Sin Koh , Ilyas Khan

{"title":"Computational assessment of local thermal non-equilibrium effects on non-darcy chemical reactive flow of boger hybrid nanofluid with elastic deformation","authors":"Mostafa Mohamed Okasha , Mohammed Qader Gubari , Hawzhen Fateh M. Ameen , Munawar Abbas , Muyassar Norberdiyeva , Wei Sin Koh , Ilyas Khan","doi":"10.1016/j.padiff.2025.101260","DOIUrl":"10.1016/j.padiff.2025.101260","url":null,"abstract":"<div><div>This study examines the effects of velocity slip and local thermal non-equilibrium on the non-Darcy chemical convective flow of a Boger hybrid nanofluid across a sheet. The energy equation-based on local thermal non-equilibrium model provides outstanding heat transmission for solid and liquid phases. The two thermal distributions for the liquid and solid phases are basically used in this method. The hybrid nanoliquid (<em>SiC</em> − <em>C</em>o<sub>3</sub>O<sub>4</sub>/<em>DO</em>) flow model consist of nanoparticles of silicon carbide (<em>SiC</em>) and Cobalt oxide (Co<sub>3</sub>O<sub>4</sub>) dissolved in diathermic oil. This model can be used in sectors of the economy where improved heat transfer is essential, like electronic cooling systems, automotive thermal systems, and energy-efficient heat exchangers. The concept is also applicable to the design of materials for use in aerospace applications, where it is necessary to precisely regulate the mechanical and thermal properties under conditions of high stress and temperature gradients. The Bvp4c method is used to numerically solve the model equation system once all relevant similarity variables have been decreased. Outcomes display that Boger hybrid nanofluid shows increase flow and decline the thermal and concentration distributions as increasing the solvent percent and Stefan blowing parameters values.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"15 ","pages":"Article 101260"},"PeriodicalIF":0.0,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144757968","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fractional order modeling of prophylactic measures on the transmission dynamics of measles: An optimal control analysis 麻疹传播动力学预防措施的分数阶建模：最优控制分析

Partial Differential Equations in Applied Mathematics Pub Date : 2025-07-16 DOI: 10.1016/j.padiff.2025.101259

Adedapo Chris Loyinmi , Alani Lateef Ijaola

{"title":"Fractional order modeling of prophylactic measures on the transmission dynamics of measles: An optimal control analysis","authors":"Adedapo Chris Loyinmi , Alani Lateef Ijaola","doi":"10.1016/j.padiff.2025.101259","DOIUrl":"10.1016/j.padiff.2025.101259","url":null,"abstract":"<div><div>In this study, we presented a fractional order transmission model to investigate the dynamics and potential controls for measles, in order to accurately represent the dynamics of its transmission. We propose a modified S, V, E, I and R (Susceptible, Vaccinated, Exposed, Infectious and Recovered individuals), a workable human population model with an incident rate equipped with a saturation factor to investigate the combined impact of three prophylactic techniques, which are public awareness, second dose vaccination and proper treatment in case of severity.. Here, we assumed there is a vaccinated population that has taken first dose in the proposed model. We established among other things, the parameter responsible for invasion, the reproductive number,<em>R</em><sub>0</sub> is less than unity through the stability analysis and the numerical solution of the fractional order model was done using the Adams Bashforth predictor-corrector method. In addition, the effects of the prophylactic measures and the fractional order (α) were simulated and findings from the graphical solutions depict that these measures aid in flattening out the trajectory of the disease if measure are properly implemented.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"15 ","pages":"Article 101259"},"PeriodicalIF":0.0,"publicationDate":"2025-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144680601","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Exploration of the Arrhenius activation energy in unsteady ternary hybrid nanofluid flow past a slendering stretching sheet: RSM analysis 非定常三元杂化纳米流体通过细长拉伸片的阿伦尼乌斯活化能探索：RSM分析

Partial Differential Equations in Applied Mathematics Pub Date : 2025-07-14 DOI: 10.1016/j.padiff.2025.101255

N. Nithya , B. Vennila , K. Loganathan , R. Shobika , K. Senthilvadivu , S. Eswaramoorthi

{"title":"Exploration of the Arrhenius activation energy in unsteady ternary hybrid nanofluid flow past a slendering stretching sheet: RSM analysis","authors":"N. Nithya , B. Vennila , K. Loganathan , R. Shobika , K. Senthilvadivu , S. Eswaramoorthi","doi":"10.1016/j.padiff.2025.101255","DOIUrl":"10.1016/j.padiff.2025.101255","url":null,"abstract":"<div><div>This paper examines how a ternary hybrid nanofluid made by combining <span><math><msub><mrow><mtext>TiO</mtext></mrow><mrow><mn>2</mn></mrow></msub></math></span>, <span><math><msub><mrow><mtext>SiO</mtext></mrow><mrow><mn>2</mn></mrow></msub></math></span>, and <span><math><mrow><msub><mrow><mtext>Al</mtext></mrow><mrow><mn>2</mn></mrow></msub><msub><mrow><mtext>O</mtext></mrow><mrow><mn>3</mn></mrow></msub></mrow></math></span> in water behaves when flowing across a stretching sheet with varying thickness. The motivation comes from real world needs in systems like solar collectors, biomedical devices, and industrial cooling, where better heat transfer with minimal drag is essential. Using a blend of the Differential Transformation Method (DTM) and statistical optimization techniques like Response Surface Methodology (RSM) and Central Composite Design (CCD), we study how magnetic field, radiation, nanoparticle volume fraction, and activation energy affects the system. The hybrid nanofluid’s improved thermal behavior is a key focus. It is found that the increasing sheet thickness leads to higher temperatures, while velocity and concentration drop. Greater thermal radiation and more silicon dioxide particles enhance the heat transfer, improving efficiency by 12% and reducing drag (skin friction) by 15% under optimized conditions. Thermal conductivity improves with more nanoparticles, raising the Nusselt number. Meanwhile, mass diffusion behavior captured by the Sherwood number is influenced by activation energy and the Schmidt number. Magnetic field and nanoparticle volume fraction effects together help lower surface drag.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"15 ","pages":"Article 101255"},"PeriodicalIF":0.0,"publicationDate":"2025-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144680602","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Exact solution of system of nonlinear fractional partial differential equations by modified semi-separation of variables method 用改进的半分离变量法精确解非线性分数阶偏微分方程组

Partial Differential Equations in Applied Mathematics Pub Date : 2025-07-12 DOI: 10.1016/j.padiff.2025.101247

Henry Kwasi Asiedu, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah

{"title":"Exact solution of system of nonlinear fractional partial differential equations by modified semi-separation of variables method","authors":"Henry Kwasi Asiedu, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah","doi":"10.1016/j.padiff.2025.101247","DOIUrl":"10.1016/j.padiff.2025.101247","url":null,"abstract":"<div><div>A system of nonlinear fractional partial differential equations (FPDEs) is widely used in applied sciences, especially for modeling fluid dynamics and polymer-related problems. Given their importance, finding solutions to these systems is essential and a core property. Various methods have been developed to find a solution to a system of nonlinear FPDEs. However, these methods are difficult to implement and sometimes converge slowly. In the worst-case scenario, applying the differential transform method may produce a series that does not converge to the exact solution of a system of nonlinear FPDEs. The semi-separation of variables method (S-SVM) is a recent and reliable analytic method that has not been applied to obtain an exact solution to a system of nonlinear FPDEs. Furthermore, S-SVM has not been improved to observe faster convergence. In this paper, the S-SVM is used to obtain the exact solution to the system of nonlinear FPDEs. In addition, the S-SVM is further improved as a Modified S-SVM (MS-SVM), which is applied to find an exact solution to the system of nonlinear FPDEs. Also, numerical experiments using the S-SVM and the MS-SVM in both two and three dimensions are provided therein, along with a comparison of their solutions to those obtained from the Adomian Decomposition Method (ADM), the Laplace Variational Iteration Method (LVIM), and the Fractional Power Series Method (FPSM). The results show that the solutions obtained using S-SVM and MS-SVM converge faster than those from FPSM, ADM, and LVIM. Moreover, S-SVM and MS-SVM do not require the complex computation of Adomian polynomials.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"15 ","pages":"Article 101247"},"PeriodicalIF":0.0,"publicationDate":"2025-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144656868","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An immersed interface method for nonlinear convection–diffusion equations with interfaces 具有界面的非线性对流扩散方程的浸入界面法

Partial Differential Equations in Applied Mathematics Pub Date : 2025-07-11 DOI: 10.1016/j.padiff.2025.101250

Miguel Uh Zapata , Reymundo Itza Balam , Silvia Jerez

引用次数: 0

Qualitative analysis and controllability of complex tumor model with different therapies with nonsingular kernel 非奇异核不同治疗方法复杂肿瘤模型的定性分析及可控性

Partial Differential Equations in Applied Mathematics Pub Date : 2025-07-10 DOI: 10.1016/j.padiff.2025.101249

Maryam Batool , Muhammad Farman , Kottakkaran Sooppy Nisar , Evren Hincal , Shah Jahan

{"title":"Qualitative analysis and controllability of complex tumor model with different therapies with nonsingular kernel","authors":"Maryam Batool , Muhammad Farman , Kottakkaran Sooppy Nisar , Evren Hincal , Shah Jahan","doi":"10.1016/j.padiff.2025.101249","DOIUrl":"10.1016/j.padiff.2025.101249","url":null,"abstract":"<div><div>In this paper, consider the immune response to avascular cancer under the effect of immunotherapy, chemotherapy, and their combinations, as well as vaccination regimens, is described using a fractional order model to observe the impact of different therapies for cancer treatment. The impact of vaccination therapy is viewed as a model parameter perturbation. The effect of the global derivative, the existence, and the boundedness of the suggested system are confirmed, which are the essential characteristics of epidemic problems. The proposed system is qualitatively examined as well to determine its stable points. The Lyapunov function is used to analyze global stability, and the equilibrium states of the second derivative test are quantitatively examined. To investigate the effects of the fractional operator on the suggested model, solutions are generated using the Mittag Leffler kernel, and numerical simulations are run to demonstrate the theoretical findings. Using MATLAB, the effects of cancer treatment with various drugs and parameter values are justified. The proposed system is also treated for controllability and observability for a linear control system to monitor the close-loop design with different therapies as an input and cancer cells as an output.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"15 ","pages":"Article 101249"},"PeriodicalIF":0.0,"publicationDate":"2025-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144656869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Some novel properties of complex intuitionistic fuzzy ideals in classical ring 经典环中复杂直觉模糊理想的一些新性质

Partial Differential Equations in Applied Mathematics Pub Date : 2025-07-07 DOI: 10.1016/j.padiff.2024.100811

Ziad Khan , Fawad Hussain , Ikhtesham Ullah , Tariq Rahim , Madad Khan , Rashid Jan , Ibrahim Mekawy , Asma Alharbi

{"title":"Some novel properties of complex intuitionistic fuzzy ideals in classical ring","authors":"Ziad Khan , Fawad Hussain , Ikhtesham Ullah , Tariq Rahim , Madad Khan , Rashid Jan , Ibrahim Mekawy , Asma Alharbi","doi":"10.1016/j.padiff.2024.100811","DOIUrl":"10.1016/j.padiff.2024.100811","url":null,"abstract":"<div><div>The complex intuitionistic fuzzy set is an extension of the intuitionistic fuzzy set where the membership and non-membership functions are expressed by a complex numbers. Ring theory is a well-known field of abstract algebra that is used in a broad area of present study in mathematics and computer science. The study of ideals is important in numerous ways in ring theory. Keeping in view the importance of complex intuitionistic fuzzy sets and ring theory, in this paper, we define the notion of complex intuitionistic fuzzy ideals in a classical ring <span><math><mi>R</mi></math></span> and investigate its various algebraic properties. We obtain that the intersection of any two complex intuitionistic fuzzy ideals of a classical ring <span><math><mi>R</mi></math></span> is again a complex intuitionistic fuzzy ideal of <span><math><mi>R</mi></math></span>. We also define the notion of a complex intuitionistic fuzzy level set. Furthermore, we define the concept of complex intuitionistic fuzzy cosets of a complex intuitionistic fuzzy ideal of a classical ring and prove that the set of all complex intuitionistic fuzzy cosets of a complex intuitionistic fuzzy ideal forms a ring under certain binary operations. Finally, we prove a complex intuitionistic fuzzy version of the fundamental theorem of a ring homomorphism.</div></div>","PeriodicalId":34531,"journal":{"name":"Partial Differential Equations in Applied Mathematics","volume":"15 ","pages":"Article 100811"},"PeriodicalIF":0.0,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144842010","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0