A generalized soft set model that is more accurate, useful, and realistic is the spherical fuzzy soft set. So, the fuzzy soft topological models in use can be extended to create spherical fuzzy soft topological spaces, which are valuable for expressing unreliable data in real-world applications. Subbase, separation axioms, compactness, and connectedness are all defined in this work. To examine these notions’ features, we also investigate their forefathers. The application of a decision-making algorithm is then demonstrated, and a numerical example is used to describe how it can be used.
{"title":"Spherical fuzzy and soft topology: some applications","authors":"A. Azzam","doi":"10.22436/jmcs.032.02.05","DOIUrl":"https://doi.org/10.22436/jmcs.032.02.05","url":null,"abstract":"A generalized soft set model that is more accurate, useful, and realistic is the spherical fuzzy soft set. So, the fuzzy soft topological models in use can be extended to create spherical fuzzy soft topological spaces, which are valuable for expressing unreliable data in real-world applications. Subbase, separation axioms, compactness, and connectedness are all defined in this work. To examine these notions’ features, we also investigate their forefathers. The application of a decision-making algorithm is then demonstrated, and a numerical example is used to describe how it can be used.","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46902317","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}
In the present article, we establish the numerical solution for the mixed Volterra-Fredholm integral equation (MV-FIE) in (1+1) dimensional in the Banach space L 2 [− 1,1 ] × C [ 0, T ] , T < 1. The Fredholm integral term is considered in the space L 2 [− 1,1 ] and it has a discontinuous kernel in position. While the Volterra integral term is considered in the class of time C [ 0, T ] , T < 1, and has a continuous kernel in time. The necessary conditions have been established to ensure that there is a single solution in the space L 2 [− 1,1 ] × C [ 0, T ] , T < 1. By utilizing the separation of variables technique, MV-FIE is transformed to Fredholm integral equation (FIE) of the second kind with variables coefficients in time. The separation technique of variables helps the authors choose the appropriate time function to establish the conditions of convergence in solving the problem and obtaining its solution. Then, using the Boubaker polynomials method, we end up with a linear algebraic system (LAS) abbreviated. The Banach fixed point (BFP) hypothesis has been presented to determine the existence and uniqueness of the solution of the LAS. The convergence of the solution and the stability of the error are discussed. The Maple 18 software is used to perform some numerical calculations once some numerical experiments have been taken into consideration.
{"title":"A computational technique for computing second-type mixed integral equations with singular kernels","authors":"A. Mahdy, M. A. Abdou, D. S. Mohamed","doi":"10.22436/jmcs.032.02.04","DOIUrl":"https://doi.org/10.22436/jmcs.032.02.04","url":null,"abstract":"In the present article, we establish the numerical solution for the mixed Volterra-Fredholm integral equation (MV-FIE) in (1+1) dimensional in the Banach space L 2 [− 1,1 ] × C [ 0, T ] , T < 1. The Fredholm integral term is considered in the space L 2 [− 1,1 ] and it has a discontinuous kernel in position. While the Volterra integral term is considered in the class of time C [ 0, T ] , T < 1, and has a continuous kernel in time. The necessary conditions have been established to ensure that there is a single solution in the space L 2 [− 1,1 ] × C [ 0, T ] , T < 1. By utilizing the separation of variables technique, MV-FIE is transformed to Fredholm integral equation (FIE) of the second kind with variables coefficients in time. The separation technique of variables helps the authors choose the appropriate time function to establish the conditions of convergence in solving the problem and obtaining its solution. Then, using the Boubaker polynomials method, we end up with a linear algebraic system (LAS) abbreviated. The Banach fixed point (BFP) hypothesis has been presented to determine the existence and uniqueness of the solution of the LAS. The convergence of the solution and the stability of the error are discussed. The Maple 18 software is used to perform some numerical calculations once some numerical experiments have been taken into consideration.","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46828934","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":"A generalized fractional HIV-1 infection model with humoral immunity and highly active antiretroviral therapy","authors":"Z. Hajhouji, K. Hattaf, N. Yousfi","doi":"10.22436/jmcs.032.02.06","DOIUrl":"https://doi.org/10.22436/jmcs.032.02.06","url":null,"abstract":"","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43434894","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}
This paper derives existence results for a resonant fractional order differential equation with two-dimensional kernel on the half-line using coincidence degree theory. Fractional calculus of Riemann-Liouville type is adopted in the study. The results obtained are illustrated with an example.
{"title":"Resonant fractional order differential equation with two-dimensional kernel on the half-line","authors":"E. K. Ojo, S. A. Iyase, T. Anake","doi":"10.22436/jmcs.032.02.03","DOIUrl":"https://doi.org/10.22436/jmcs.032.02.03","url":null,"abstract":"This paper derives existence results for a resonant fractional order differential equation with two-dimensional kernel on the half-line using coincidence degree theory. Fractional calculus of Riemann-Liouville type is adopted in the study. The results obtained are illustrated with an example.","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44567370","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}
In this paper, we study the following fourth-order elliptic equation with p-Laplacian, steep potential well and sublinear perturbation:
本文研究了具有p-Laplacian、陡势阱和次线性微扰的四阶椭圆型方程：
{"title":"Infinitely many high energy solutions for fourth-order elliptic equations with p-Laplacian in bounded domain","authors":"Y. Chahma, H. Chen","doi":"10.22436/jmcs.032.02.02","DOIUrl":"https://doi.org/10.22436/jmcs.032.02.02","url":null,"abstract":"In this paper, we study the following fourth-order elliptic equation with p-Laplacian, steep potential well and sublinear perturbation:","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43459033","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}
S. E. Fadugba, I. Ibrahim, O. Adeyeye, A. Adeniji, M. Kekana, Joseph Temitayo Okunlola
There are several nonlinear physical models emanated from science and technology that have always remained a challenge for numerical analysts and applied mathematicians. Various one-step numerical methods were developed to deal with these models, however, it requires the developed method to have consistency, stability, zero stability and convergence characteristics to handle the non-linearity in the model. This paper proposes a new sixth order inverse polynomial method (SOIPM) with a relative measure of stability for the solution of non-linear physical models with different flavors. Firstly, the properties of SOIPM are analyzed and investigated. Moreover, three illustrative non-linear physical models have been solved to measure the accuracy, computational performance, suitability and effectiveness of SOIPM. Furthermore, the results generated via SOIPM are compared with the existing method of the celebrated Runge-Kutta of order four (RK4) in the context of the exact value (EV). Finally, the absolute errors (ABEs) and final absolute errors (FABEs) incurred by SOIPM are computed and compared with that of RK4.
{"title":"A proposed sixth order inverse polynomial method for the solution of non-linear physical models","authors":"S. E. Fadugba, I. Ibrahim, O. Adeyeye, A. Adeniji, M. Kekana, Joseph Temitayo Okunlola","doi":"10.22436/jmcs.032.02.01","DOIUrl":"https://doi.org/10.22436/jmcs.032.02.01","url":null,"abstract":"There are several nonlinear physical models emanated from science and technology that have always remained a challenge for numerical analysts and applied mathematicians. Various one-step numerical methods were developed to deal with these models, however, it requires the developed method to have consistency, stability, zero stability and convergence characteristics to handle the non-linearity in the model. This paper proposes a new sixth order inverse polynomial method (SOIPM) with a relative measure of stability for the solution of non-linear physical models with different flavors. Firstly, the properties of SOIPM are analyzed and investigated. Moreover, three illustrative non-linear physical models have been solved to measure the accuracy, computational performance, suitability and effectiveness of SOIPM. Furthermore, the results generated via SOIPM are compared with the existing method of the celebrated Runge-Kutta of order four (RK4) in the context of the exact value (EV). Finally, the absolute errors (ABEs) and final absolute errors (FABEs) incurred by SOIPM are computed and compared with that of RK4.","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47905286","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}
In this paper, we consider a singularly perturbed integro-differential equation with a rapidly oscillating right-hand side, which includes an integral operator with a slowly varying kernel. Earlier, singularly perturbed differential and integro-differential equations with rapidly oscillating coefficients were considered. The main goal of this work is to generalize the Lomov's regularization method and to identify the rapidly oscillating right-hand side to the asymptotics of the solution to the original problem.
{"title":"Construction of a regularized asymptotic solution of an integro-differential equation with a rapidly oscillating cosine","authors":"A. Bobodzhanov, B. Kalimbetov, N. Pardaeva","doi":"10.22436/jmcs.032.01.07","DOIUrl":"https://doi.org/10.22436/jmcs.032.01.07","url":null,"abstract":"In this paper, we consider a singularly perturbed integro-differential equation with a rapidly oscillating right-hand side, which includes an integral operator with a slowly varying kernel. Earlier, singularly perturbed differential and integro-differential equations with rapidly oscillating coefficients were considered. The main goal of this work is to generalize the Lomov's regularization method and to identify the rapidly oscillating right-hand side to the asymptotics of the solution to the original problem.","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41428476","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":"Numerical solution of fractional order SIR model of dengue fever disease via Laplace optimized decomposition method","authors":"B. Maayah, S. Bushnaq, A. Moussaoui","doi":"10.22436/jmcs.032.01.08","DOIUrl":"https://doi.org/10.22436/jmcs.032.01.08","url":null,"abstract":"","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46051391","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":"New results on soft generalized topological spaces","authors":"J. Al-Mufarrij, S. Saleh","doi":"10.22436/jmcs.032.01.04","DOIUrl":"https://doi.org/10.22436/jmcs.032.01.04","url":null,"abstract":"","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46347406","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}
Z. Ameen, R. Abu-Gdairi, T. Al-shami, Baravan A. Asaad, M. Arar
{"title":"Further properties of soft somewhere dense continuous functions and soft Baire spaces","authors":"Z. Ameen, R. Abu-Gdairi, T. Al-shami, Baravan A. Asaad, M. Arar","doi":"10.22436/jmcs.032.01.05","DOIUrl":"https://doi.org/10.22436/jmcs.032.01.05","url":null,"abstract":"","PeriodicalId":45497,"journal":{"name":"Journal of Mathematics and Computer Science-JMCS","volume":null,"pages":null},"PeriodicalIF":2.5,"publicationDate":"2023-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43602472","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}
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