INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES最新文献

{"title":"Investigation of Magnetized Casson Nanofluid Flow along Wedge: Gaussian Process Regression","authors":"M. Shanmugapriya, R. Sundareswaran, S. G. K. Subramanian, A. Alameri","doi":"10.1155/2024/2880748","DOIUrl":"https://doi.org/10.1155/2024/2880748","url":null,"abstract":"An unsteady two-dimensional magnetized Casson nanofluid flow model is constructed over a wedge under the effect of thermal radiation and chemical reaction. The multiple slip effects are also assumed near the surface of the wedge along with the convective boundary restrictions. This study investigates the application of soft computing techniques to address the challenges posed by the complexity of problem modeling and numerical methods. Traditional approaches incorporating various model factors may struggle to provide accurate solutions. To resolve this issue, Gaussian process regression (GPR) is employed to predict the solution of the proposed flow model. With the help of the numerical shooting method together with Runge–Kutta–Fehlberg fourth-fifth-order (RKF-45) reference data, the GPR model is trained. The numerical simulation illustrated that the Casson fluid parameter β and the unsteadiness parameter S strengthen the friction factor, and the heat transfer rate is enhanced as the radiation parameter Rd becomes larger. In addition, the Biot numbers Bi1 & Bi2 lead to strengthen nanoparticle temperature; an opposite behavior is noticed with the skin friction coefficient S˜fxRex0.5, heat transfer rate H˜tx Rex0.5, and nanoparticle transfer rate C˜txRex0.5. The GPR model with the exponential Kernel function provided better performance than other functions on both training and checking datasets to predict S˜fxRex0.5,H˜tx Rex0.5, and C˜txRex0.5. Statistical metrics including RMSE, MAE, MAPE, MSE, R2, and R are employed to check the accuracy and convergences of the predicted and numerical solutions obtained through GPR and RKF-45. It is observed that all three GPR models had an R2 value of higher than 0.9. The proposed study demonstrates the advantages of employing soft computing methods (GPR) to effectively analyse the behavior of complex flow models.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"11 9","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139445845","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}

{"title":"Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator","authors":"Waleed Al-Rawashdeh","doi":"10.1155/2023/2573044","DOIUrl":"https://doi.org/10.1155/2023/2573044","url":null,"abstract":"In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor–Maclaurin coefficients a2 and a3. Moreover, we obtain the classical Fekete–Szegö inequality of functions belonging to this class.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"7 5","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139145403","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}

{"title":"The Fuzzy Prime Spectrum of Partially Ordered Sets","authors":"Derso Abeje Engidaw, Gezahagne Mulat Addis, Wondwosen Zemene Norahun, Dereje Kifle Boku, Habtu Bayafers Demrew, T. Degefa","doi":"10.1155/2023/4526348","DOIUrl":"https://doi.org/10.1155/2023/4526348","url":null,"abstract":"We study the space of prime fuzzy ideals (and the space of maximal fuzzy ideals as a subspace) equipped with the hull-kernel topology in partially ordered sets. Mainly, we investigate the conditions for which the fuzzy prime spectrum of a poset is compact, Hausdorff, and normal, respectively.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"85 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138997628","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}

{"title":"Improved Finite Difference Technique via Adomian Polynomial to Solve the Coupled Drinfeld’s–Sokolov–Wilson System","authors":"Israa Th. Younis, Ekhlass S. Al-Rawi","doi":"10.1155/2023/6916596","DOIUrl":"https://doi.org/10.1155/2023/6916596","url":null,"abstract":"This study presents a new algorithm for effectively solving the nonlinear coupled Drinfeld’s–Sokolov–Wilson (DSW) system using a hybrid explicit finite difference technique with the Adomian polynomial (EFD-AP). The suggested approach addresses the problem of accurately solving the DSW system. Numerical results are obtained by comparing the exact solution with absolute and mean square errors using a test problem to assess the EFD-AP accuracy against the exact solution and the conventional explicit finite difference (EFD) method. The results exhibit excellent agreement between the approximate and exact solutions at different time values, and the results showed that the proposed EFD-AP method achieves superior accuracy and efficiency compared to the EFD method, which makes it a promising method for solving nonlinear partial differential systems of higher order.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"36 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138598103","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}

{"title":"On Properties of Graded Rings with respect to Group Homomorphisms","authors":"A. Alshehry, R. Abu-Dawwas, Muhsen Al-Bashayreh","doi":"10.1155/2023/3803873","DOIUrl":"https://doi.org/10.1155/2023/3803873","url":null,"abstract":"<jats:p>Let <jats:inline-formula> <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"> <mi>G</mi> </math> </jats:inline-formula> be a group and <jats:inline-formula> <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\"> <mi>R</mi> </math> </jats:inline-formula> be a <jats:inline-formula> <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\"> <mi>G</mi> </math> </jats:inline-formula>-graded ring with non-zero unity. The goal of our article is reconsidering some well-known concepts on graded rings using a group homomorphism <jats:inline-formula> <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\"> <mi>α</mi> <mo>:</mo> <mi>G</mi> <mo>⟶</mo> <mi>G</mi> </math> </jats:inline-formula>. Next is to examine the new concepts compared to the known concepts. For example, it is known that <jats:inline-formula> <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M5\"> <mfenced open=\"(\" close=\")\" separators=\"|\"> <mrow> <mi>R</mi> <mo>,</mo> <mi>G</mi> </mrow> </mfenced> </math> </jats:inline-formula> is weak if whenever <jats:inline-formula> <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M6\"> <mi>g</mi> <mo>∈</mo> <mi>G</mi> </math> </jats:inline-formula> such that <jats:inline-formula> <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M7\"> <msub> <mrow> <mi>R</mi> </mrow> <mrow> <mi>g</mi> </mrow> </msub> <mo>=</mo> <mn>0</mn> </math> </jats:inline-formula>, then <jats:inline-formula> <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M8\"> <msub> <mrow> <mi>R</mi> </mrow> <mrow> <msup> <mrow> <mi>g</mi> </mrow> ","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"7 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139274681","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}

{"title":"Some Inequalities Involving the Derivative of Rational Functions","authors":"Arnisa Rasri, Jiraphorn Somsuwan Phanwan","doi":"10.1155/2023/5541585","DOIUrl":"https://doi.org/10.1155/2023/5541585","url":null,"abstract":"In this paper, we establish some inequalities involving the modulus of the derivative of rational functions with prescribed poles and restricted zeros. The obtained results generalize some known inequalities for rational functions. Moreover, our results also contain certain known polynomial inequalities.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136063862","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}

{"title":"Censoring Balancing Functions for Undetected Probably Significant Effects in Cox Regression","authors":"Ildephonse Nizeyimana, George Otieno Orwa, Michael Arthur Ofori, Samuel Musili Mwalili","doi":"10.1155/2023/6676767","DOIUrl":"https://doi.org/10.1155/2023/6676767","url":null,"abstract":"Weighted Cox regression models were proposed as an alternative to the standard Cox proportional hazards models where consistent estimators can be obtained with more relative strength compared to unweighted cases. We proposed censoring balancing functions which can be built in a way that allows us to obtain the maximum possible significant treatment effects that may have gone undetected due to censoring. The harm caused by this is compensated and new weighted parameter estimates are found. These functions are constructed to be monotonic because even the hazard ratios are not exactly constant as in the ideal case, but are violated by monotonic deviations in time. For more than one covariate, even the interaction between covariates in addition to censoring can lead to the loss of significance for some covariates’ effects. Undetected significant effects of one covariate can be obtained, still keeping the significance and approximate size of the remaining one(s). This is performed by keeping the consistency of the parameter estimates. The results from both the simulated datasets and their application to real datasets supported the importance of the suggested censoring balancing functions in both one covariate and more than one covariate cases.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134886422","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}

{"title":"On Parametric and Matrix Solutions to the Diophantine Equation <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"> <msup> <mrow> <mi>x</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mi mathvariant=\"normal\">d</mi> <msup> <mrow> <mi>y</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mrow> <mi>z</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>0</mn> </math> Where <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\"> <mi>d</mi> </math> Is a …","authors":"James D. Shaw, James Guyker","doi":"10.1155/2023/1505337","DOIUrl":"https://doi.org/10.1155/2023/1505337","url":null,"abstract":"The well‐known matrix‐generated tree structure for Pythagorean triplets is extended to the primitive solutions of the Diophantine equation <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\"> <msup> <mrow> <mi>x</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mo>+</mo> <mi mathvariant=\"normal\">d</mi> <msup> <mrow> <mi>y</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mo>−</mo> <msup> <mrow> <mi>z</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>0</mn> </math> where <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\"> <mi>d</mi> </math> is a positive square‐free integer. The proof is based on a parametrization of these solutions as well as on a dual version of the Fermat’s method of descent.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135814914","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}

{"title":"Unique Common Fixed Points for Expansive Maps","authors":"Hadeel Z. Alzumi, Hakima Bouhadjera, Mohammed S. Abdo","doi":"10.1155/2023/6689743","DOIUrl":"https://doi.org/10.1155/2023/6689743","url":null,"abstract":"In this work, we establish three common fixed point results for expansive maps satisfying implicit relations in metric and dislocated metric spaces. We do this by utilizing recently developed concept of occasionally weakly biased maps of type <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"> <mfenced open=\"(\" close=\")\" separators=\"|\"> <mrow> <mi mathvariant=\"script\">A</mi> </mrow> </mfenced> </math> . These studies about the theory of common fixed points refine several earlier ones. Some illustrative examples are offered to support our theorems, and even better, a pertinent application is supplied to demonstrate the viability and applicability of one of these results.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135981958","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}

{"title":"Atezolizumab in Combination with Bevacizumab for the Management of Patients with Hepatocellular Carcinoma in the First-Line Setting: Systematic Literature Review and Meta-Analysis.","authors":"Arndt Vogel, Richard S Finn, Marie-Hélène Blanchet Zumofen, Carolina Heuser, Javier Sanchez Alvarez, Michael Leibfried, Catherine R Mitchell, Sarah Batson, Gabrielle Redhead, Vincent E Gaillard, Masatoshi Kudo","doi":"10.1159/000533166","DOIUrl":"10.1159/000533166","url":null,"abstract":"<p><strong>Background: </strong>In 2020, atezolizumab-bevacizumab became the new standard of care (SOC) for first-line unresectable hepatocellular carcinoma (HCC) patients, following a decade where sorafenib was the preferred first-line treatment. In the last few years, a number of novel systemic treatments with non-inferiority and superiority to sorafenib have been approved as first-line treatments.</p><p><strong>Objectives: </strong>The objective of this systematic literature review (SLR) and network meta-analysis (NMA) was to compare randomised controlled trial evidence for atezolizumab-bevacizumab with globally relevant pharmacological comparators for first-line treatment of patients with unresectable HCC.</p><p><strong>Methods: </strong>Randomised controlled trials investigating first-line treatment of HCC in adults with no prior systemic treatment were eligible for inclusion into the SLR and were retrieved from Embase, MEDLINE, and Evidence-Based Medicine (EBM) Reviews. Interventions of interest for the NMA included atezolizumab-bevacizumab, sorafenib, lenvatinib, durvalumab (including in combination with tremelimumab), cabozantinib (including in combination with atezolizumab), camrelizumab (including in combination with rivoceranib), pembrolizumab (including in combination with lenvatinib), and tislelizumab. Random effects NMA was conducted for survival endpoints within a Bayesian framework with an informative prior distribution for between-study heterogeneity. The hazard ratios for relative treatment effect were estimated with 95% credible intervals (CrIs).</p><p><strong>Results: </strong>The SLR identified 49 studies, of which eight formed a connected evidence network permitting the indirect treatment comparison of atezolizumab-bevacizumab with comparators of interest. The indirect comparisons suggested an improved overall survival (OS) with atezolizumab-bevacizumab versus most comparators. All indirect treatment comparison results for atezolizumab-bevacizumab included the null value within the 95% CrI (<i>n</i> = 1) for OS and progression-free survival (PFS).</p><p><strong>Conclusions: </strong>The results of the NMA indicate atezolizumab-bevacizumab is associated with superior or comparable OS and PFS together with a manageable safety profile compared with globally relevant comparators in the unresected HCC indication. The findings support that atezolizumab-bevacizumab remains SOC for the management of first-line unresectable HCC patients.</p>","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"6 1","pages":"510-520"},"PeriodicalIF":11.6,"publicationDate":"2023-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10697759/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87076032","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}