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The Solution of Homogeneous Liouville Fractional Differential Equations by Sumudu Transform Method 用苏木杜变换法求解均质柳维尔微分方程
Asian Journal of Mathematics and Computer Research Pub Date : 2024-03-04 DOI: 10.56557/ajomcor/2024/v31i18571
D. S. Bodkhe
{"title":"The Solution of Homogeneous Liouville Fractional Differential Equations by Sumudu Transform Method","authors":"D. S. Bodkhe","doi":"10.56557/ajomcor/2024/v31i18571","DOIUrl":"https://doi.org/10.56557/ajomcor/2024/v31i18571","url":null,"abstract":"In this paper, we study the homogeneous Liouville fractional differential equations with constant coefficients. The solutions interms of Mittag-Leffler of homogeneous Liouville fractional differential equations with constant coefficients are obtained by Sumudu transform method (STM). The results obtained by STM are illustrated by examples.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"29 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140265953","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
Mathematical Modelling of Malaria Transmission Dynamics with Optimal Control Strategies in Kebri Dehar District, Somali Regional State, Ethiopia 埃塞俄比亚索马里州凯布里德哈尔区疟疾传播动态数学模型与优化控制策略
Asian Journal of Mathematics and Computer Research Pub Date : 2024-01-25 DOI: 10.56557/ajomcor/2024/v31i18516
Tasew Ayele Taddese, Tsega Mhretab Gebre Silase, Tsegaw Muche Tessema, Sadam Dawud Adem
{"title":"Mathematical Modelling of Malaria Transmission Dynamics with Optimal Control Strategies in Kebri Dehar District, Somali Regional State, Ethiopia","authors":"Tasew Ayele Taddese, Tsega Mhretab Gebre Silase, Tsegaw Muche Tessema, Sadam Dawud Adem","doi":"10.56557/ajomcor/2024/v31i18516","DOIUrl":"https://doi.org/10.56557/ajomcor/2024/v31i18516","url":null,"abstract":"Malaria is an infectious disease caused by the Plasmodium parasite and transmitted between humans through bites of female anopheles mosquito. In this study, we present a mathematical model of malaria transmission dynamics with optimal control. We estimated the basic reproduction number for the infected cases in Kebri Dehar district from September 2011 - June 2015 E.C is . The parameters of the model are estimated by using the confirmed malaria cases of Kebri Dehar district, Ethiopia. We formulated the model for malaria and present its dynamics in details. Initially, we present the basic mathematical results and then show briefly the stability results for the model. Further, we formulate an optimal control problem with control functions and obtain the optimal control characterization. The optimal control problem is solved numerically and the results comprised of controls system for different strategies. The controls such as prevention, treatment and insecticide could use the best role in the disease eradication from the community. Our results suggest that the prevention of humans from the mosquitoes, treatment of infected humans and the insecticide spray on mosquitoes can significantly reduce the infection of malaria and may reduce further spread of infection in the community.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"112 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140495583","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
Higher Order Partial Least Squares Path Modeling Using Binary Data: An Application on Multidimensional Poverty and Social Protection in East Java Province 使用二元数据的高阶偏最小二乘法路径模型：东爪哇省多维贫困与社会保护的应用
Asian Journal of Mathematics and Computer Research Pub Date : 2023-12-02 DOI: 10.56557/ajomcor/2023/v30i48458
Rudi Salam, I. Sumertajaya, Hari Wijayanto, Anang Kurnia, Timbang Sirait
{"title":"Higher Order Partial Least Squares Path Modeling Using Binary Data: An Application on Multidimensional Poverty and Social Protection in East Java Province","authors":"Rudi Salam, I. Sumertajaya, Hari Wijayanto, Anang Kurnia, Timbang Sirait","doi":"10.56557/ajomcor/2023/v30i48458","DOIUrl":"https://doi.org/10.56557/ajomcor/2023/v30i48458","url":null,"abstract":"The standard partial least squares path modeling (PLS-PM) estimation process assumes the observed data as continuous variables. With slight modifications, this estimation algorithm can be used for data on a binary scale and even for more complex models such as higher order constructs. This study aims to determine by simulation and application of real data the performance of the higher-order construct modeling approach, which of the repeated indicator and two-stage approaches provides better results. From simulation study it was found that the repeated indicator approach with binary data (BinPLS) was better than the two-stage approach. Empirical results also show that the BinPLS measurement model with the repeated indicator approach is better than standard PLS. Evaluation of the structural model also shows that BinPLS with a repeated indicator approach is the best because it produces path coefficients and the power to explain multidimensional poverty and social protection models that are better than BinPLS with a two-stage approach and standard PLS.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"52 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138606557","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
Orbital Stability of Ground States for a Mass Subcritical Fractional Schrodinger-Poisson Equation 质量亚临界分数阶薛定谔-泊松方程基态的轨道稳定性
Asian Journal of Mathematics and Computer Research Pub Date : 2023-10-20 DOI: 10.56557/ajomcor/2023/v30i48420
Ying Yan, Yan-Ying Shang
{"title":"Orbital Stability of Ground States for a Mass Subcritical Fractional Schrodinger-Poisson Equation","authors":"Ying Yan, Yan-Ying Shang","doi":"10.56557/ajomcor/2023/v30i48420","DOIUrl":"https://doi.org/10.56557/ajomcor/2023/v30i48420","url":null,"abstract":"In this paper, we study the existence of ground state standing waves with prescribed mass constraints for the fractional Schrodinger-Poisson equation (mathit{i}partial_tpsi) - (- (Delta))(^S)(psi) - (|(mathit{x})|(^2^t^-^3) * |(psi)|(^2))(psi) + |(psi)|(^p^-^2)(psi) = 0, where (psi) : (mathbb{R}^3) x (mathbb{R}) (to) (mathbb{C}), s, t (in) (0,1), 2s + 2t > 3 and (mathit{p}) (in) ((2 , {4s pm 2t over s+t})). In particular, in the mass subcritical case but (p neq frac{4 s+2 t}{s+t}), that is, (p inleft(2,2+frac{4 s}{3}right) backslashleft{frac{4 s+2 t}{s+t}right}),we prove that the solution with initial datum 0 exists globally and the set of ground states is orbitally stable.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"79 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135617323","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
Application of Gegenbauer Wavelet Method on Initial Value Problem of Fractional Order Fitz Hugh-Nagumo Equation Gegenbauer小波方法在分数阶Fitz Hugh-Nagumo方程初值问题上的应用
Asian Journal of Mathematics and Computer Research Pub Date : 2023-10-18 DOI: 10.56557/ajomcor/2023/v30i48417
Jie Yang, Yue Zhou
{"title":"Application of Gegenbauer Wavelet Method on Initial Value Problem of Fractional Order Fitz Hugh-Nagumo Equation","authors":"Jie Yang, Yue Zhou","doi":"10.56557/ajomcor/2023/v30i48417","DOIUrl":"https://doi.org/10.56557/ajomcor/2023/v30i48417","url":null,"abstract":"This paper provides a detailed introduction to the fractional order differentials and the matrix operations of the Gegenbauer wavelet method for solving fractional order differential equations. By comparing the derived trigonometric fractional order differential form solution with the reconstructed Gegenbauer wavelet solution in exploring the initial value problem of the fractional order FitzHugh-Nagumo equation, this paper not only verifies the suitability of the defined fractional order differential form solution for numerical computations but also highlights the high accuracy of the Gegenbauer wavelet method in solving fractional order differential equations. Furthermore, by comparing the exact solution with the reconstructed solution using the Gegenbauer wavelet method, it is concluded that the synchronization rate between neurons in the fractional order FitzHugh-Nagumo model is faster than the corresponding integer-order synchronization rate.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135888545","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
Euclidean Domain in the Ring Q[(sqrt{-43})] 环Q中的欧几里得定义域[(sqrt{-43})]
Asian Journal of Mathematics and Computer Research Pub Date : 2023-10-06 DOI: 10.56557/ajomcor/2023/v30i48408
Precious C. Ashara, Martin C. Obi
{"title":"Euclidean Domain in the Ring Q[(sqrt{-43})]","authors":"Precious C. Ashara, Martin C. Obi","doi":"10.56557/ajomcor/2023/v30i48408","DOIUrl":"https://doi.org/10.56557/ajomcor/2023/v30i48408","url":null,"abstract":"An entire ring R with unity is said to be Euclidean Domain (ED) if on R, we defined a function N: R (to) (mathbb{Z})+ which admits proper generalization of the Euclidean division of integers. Every Euclidean domain (ED) is a Principal ideal domain (PID), but not all principal ideals are Euclidean. We provide detailed proof that the quadratic algebraic integer ring Q[(sqrt{-43})] is not Euclidean domain. We proved that the ring of algebraic integer in the quadratic complex field Q[(sqrt{-43})] is a principal ideal domain using the developed inequalities and field norm axioms in [1]. We proved that the ring Q[(sqrt{-43})] fails to have universal side divisors, thus, fails to be Euclidean domain (ED). This article extended the result application of [1] proving that ring R of algebraic integer in complex quadratic fields Q[(sqrt{-M})] for M = 43 is non-Euclidean PID in an understandable manner. We hope to look into the formation of these rings, thus, non-Euclidean geometries where the practical application will be more useful. E.g., Elliptic curves on finite fields.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134944744","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
On the Unique Continuation Property for a Coupled System of Third-order Nonlinear Schrodinger Equations 三阶非线性薛定谔方程耦合系统的唯一延拓性质
Asian Journal of Mathematics and Computer Research Pub Date : 2023-10-02 DOI: 10.56557/ajomcor/2023/v30i48400
Yue Zhou, Jie Yang
{"title":"On the Unique Continuation Property for a Coupled System of Third-order Nonlinear Schrodinger Equations","authors":"Yue Zhou, Jie Yang","doi":"10.56557/ajomcor/2023/v30i48400","DOIUrl":"https://doi.org/10.56557/ajomcor/2023/v30i48400","url":null,"abstract":"In this paper, we study the unique continuation properties for a coupled system of third-order nonlinear Schrodinger equations and show the Carleman estimates of L2 and Lp (p > 2) types, as well as exponential decay properties of the solutions. As a consequence we obtain that if ((mathit{u}), (mathit{w})) = ((mathit{u})((mathit{x}), (mathit{t})), (mathit{w})((mathit{x}), (mathit{t}))) is a suffciently smooth solution of the system such that there exists (mathit{l}) (in) (mathbb{R}) with supp (mathit{u})(.,tj) (subseteq)((mathit{l}), (infty)) ((mathit{or})(-(infty), (mathit{l}))) and supp (mathit{w})(.,tj) (subseteq)((mathit{l}), (infty)) ((mathit{or})(-(infty), (mathit{l}))), for (mathit{j}) = 1,2 (t1 (neq) t2), then (mathit{u}) (equiv) 0 and (mathit{w}) (equiv) 0.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"292 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135899451","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
Modeling and Solution of an Unsteady Flow of a Third Grade Fluid Over an Infinite Parallel Rigid Plate Within a Porous Medium 多孔介质中三阶流体在无限平行刚性板上的非定常流动模拟与求解
Asian Journal of Mathematics and Computer Research Pub Date : 2023-09-18 DOI: 10.56557/ajomcor/2023/v30i48388
Haruna S. Jobin, Simon K. Daniel, Peter Ayuba, Joseph K. Moses
{"title":"Modeling and Solution of an Unsteady Flow of a Third Grade Fluid Over an Infinite Parallel Rigid Plate Within a Porous Medium","authors":"Haruna S. Jobin, Simon K. Daniel, Peter Ayuba, Joseph K. Moses","doi":"10.56557/ajomcor/2023/v30i48388","DOIUrl":"https://doi.org/10.56557/ajomcor/2023/v30i48388","url":null,"abstract":"It is known by many researchers that non-Newtonian fluids are regarded as important and appropriate in technological techniques and several industrial manufacturing processes such as in polymer sheet extrusion from dye, drilling of oil and gas well to mention a few. Due to such reason a model of such type of fluid called the differential type model in which the third grade fluid is categorized. The skin friction, Nusselt number, and Sherwood number through the graphs obtained, were also obtained. The nonlinear partial differential equations were solved using He – Laplace method. He – laplace method is a combination of Homotopy perturbation method with the Laplace transform method which is used in determining linear together with the nonlinear partial differential equations, and the use of He’s polynomials for the nonlinear term. Amongst many results obtained; the velocity, temperature and concentration profiles diminish due to the increase in suction parameter. Higher values of magnetic parameter decreases the fluid velocity. The temperature distribution is enhanced by the increment in radiation parameter. Upsurging values of chemical reaction decline the concentration of the fluid.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135207367","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
A Sensitivity Analysis of a Mathematical Model for the Transmission of Endemic Malaria under Periodic Climatic Conditions 周期性气候条件下地方性疟疾传播数学模型的敏感性分析
Asian Journal of Mathematics and Computer Research Pub Date : 2023-09-06 DOI: 10.56557/ajomcor/2023/v30i48365
Ndung’u Reuben M.
{"title":"A Sensitivity Analysis of a Mathematical Model for the Transmission of Endemic Malaria under Periodic Climatic Conditions","authors":"Ndung’u Reuben M.","doi":"10.56557/ajomcor/2023/v30i48365","DOIUrl":"https://doi.org/10.56557/ajomcor/2023/v30i48365","url":null,"abstract":"We perform sensitivity analysis on a periodic mathematical model of endemic malaria transmission to determine the relative importance and impact of model parameters to disease transmission and prevalence. In this analysis, two sets of baseline parameter values are compiled: one for areas that exhibit high transmission rate and another one for areas with low transmission rates. Sensitivity indices for the basic reproductive number and the endemic equilibrium points are computed. The study established that in areas of low transmission, the reproductive number is most sensitive to the mosquito biting rate, but the equilibrium proportion of the infectious humans is most sensitive to the human recovery rate.  Sensitivity analysis on all state variables was conducted. The results indicated that the most influential factors in the transmission and persistence of malaria in the society are those related to vectorial competence. These findings suggests that strategies that target the vector characteristics such as the mosquito biting rate and those that target the human recovery rate can be very successful in controlling malaria. These strategies include the use of insecticide-treated mosquito nets, indoor residual spraying, prompt diagnosis and treatment of infectious individuals. However, a combination of intervention strategies is more effective than application of a single intervention.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129789660","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
Similarity Reduction of The Variable-coefficient mKdV Equation 变系数mKdV方程的相似性约简
Asian Journal of Mathematics and Computer Research Pub Date : 2023-08-30 DOI: 10.56557/ajomcor/2023/v30i38361
Ziling Zhu, Shaowei Liu
{"title":"Similarity Reduction of The Variable-coefficient mKdV Equation","authors":"Ziling Zhu, Shaowei Liu","doi":"10.56557/ajomcor/2023/v30i38361","DOIUrl":"https://doi.org/10.56557/ajomcor/2023/v30i38361","url":null,"abstract":"We use the CK direct method to study a class of variable-coefficient mKdV equations, which deviate the variable coefficient differential equations are converted to ordinary differential equations. As far as we know, no researchers have used this method to study the variable-coefficient mKdV equation in the current literature. The classical Lie group method is only suitable for special forms of g(t) , h(t) , but the CK direct method we use is not only suitable for special forms, but also for general Variable-coefficient mKdV equations. Further, in order to compare whether the reduction results obtained using the two methods are consistent, we use the classical Lie group method and the CK direct method to study the variable-coefficient mKdV equation for a particular g(t) , h(t) . Finally, the results are consistent, which also confirms the correctness of CK direct method.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127411997","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
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