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Iranian Journal of Mathematical Sciences and Informatics最新文献

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Stochastic Integrals and Random Sums of Power Contractions in Systemics 系统中幂收缩的随机积分与随机和
IF 0.5
Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2021-06-30 DOI: 10.26713/JIMS.V13I2.1607
Constantinos T. Artikis, P. Artikis
{"title":"Stochastic Integrals and Random Sums of Power Contractions in Systemics","authors":"Constantinos T. Artikis, P. Artikis","doi":"10.26713/JIMS.V13I2.1607","DOIUrl":"https://doi.org/10.26713/JIMS.V13I2.1607","url":null,"abstract":"Stochastic integrals, random sums, random contractions, and selfdecomposable random variables constitute fundamental concepts of probability theory with significant applications in several areas of systemics. The main results of the paper are a characterization of a selfdecomposable distribution and a formulation of a Poisson random sum of power contractions. These results are established by incorporating a type of stochastic integral for a continuous in probability, homogeneous stochastic process with independent increments, and the same type of stochastic integral for a compound Poisson stochastic process with positive jumps. Interpretations of the results in treatment of risks threatening various systems are also provided.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"48 1","pages":"97-103"},"PeriodicalIF":0.5,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83972640","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
The Numerical Solutions of FIEs of the Second Kind of Degenerated Type Using Bownd’s Methods 用bond方法求解第二类退化型FIEs的数值解
IF 0.5
Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2021-03-31 DOI: 10.26713/JIMS.V13I1.1533
A. Saleh
{"title":"The Numerical Solutions of FIEs of the Second Kind of Degenerated Type Using Bownd’s Methods","authors":"A. Saleh","doi":"10.26713/JIMS.V13I1.1533","DOIUrl":"https://doi.org/10.26713/JIMS.V13I1.1533","url":null,"abstract":"In this work, we consider the numerical solutions of some types of Fredholm integro-differential equations (FIDEs). Namely, Bownd’s, successive, Adomian’s and the improved methods are used to solve linear Fredholm integro-differential equations (FIDEs). In addition, some numerical examples are given to show the efficiency and accuracy of the proposed methods. The numerical results show that using the improved methods is the best technique to solve such types of problems.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"87 1","pages":"9-24"},"PeriodicalIF":0.5,"publicationDate":"2021-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79043381","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 Coincidence and Common Fixed Point Theorems for Two Pairs of Self-Mappings Satisfying a Rational Inequality in Complex Valued Metric Spaces 复值度量空间中满足有理不等式的两对自映射的重合和公共不动点定理
IF 0.5
Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2021-03-31 DOI: 10.26713/JIMS.V13I1.1501
Archana Dewangan, A. K. Dubey, M. D. Pandey
{"title":"Some Coincidence and Common Fixed Point Theorems for Two Pairs of Self-Mappings Satisfying a Rational Inequality in Complex Valued Metric Spaces","authors":"Archana Dewangan, A. K. Dubey, M. D. Pandey","doi":"10.26713/JIMS.V13I1.1501","DOIUrl":"https://doi.org/10.26713/JIMS.V13I1.1501","url":null,"abstract":"In this paper, we prove some coincidence and common fixed point theorems for two pairs of weakly compatible mappings satisfying a rational inequality in the framework of complex valued metric spaces. The proved results generalizes and extends some well known results in the literature.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"164 4","pages":"1-8"},"PeriodicalIF":0.5,"publicationDate":"2021-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72474143","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
Coupled Fixed Point Problem in Abstract Convex Spaces 抽象凸空间中的耦合不动点问题
IF 0.5
Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2020-12-31 DOI: 10.26713/JIMS.V12I4.1498
Sehie Park
{"title":"Coupled Fixed Point Problem in Abstract Convex Spaces","authors":"Sehie Park","doi":"10.26713/JIMS.V12I4.1498","DOIUrl":"https://doi.org/10.26713/JIMS.V12I4.1498","url":null,"abstract":"We establish some existence results for a generalized coupled coincidence point problem (for short, (GCCP)) in abstract convex spaces. The solvability of the GCCP is presented by using our KKM theory. Also, we derive the results on coupled coincidence points and coupled fixed points, which were studied by Lakshmikantham and Ciric, Amini-Harandi, and Mitrovic.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"5 1","pages":"247-256"},"PeriodicalIF":0.5,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80983863","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: 3
Cavity Pattern Formation and Its Dynamics of Fiber Fuse in Single-Mode Optical Fibers 单模光纤中光纤熔丝的空腔模式形成及其动力学
IF 0.5
Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2020-12-31 DOI: 10.26713/JIMS.V12I4.1459
Y. Shuto
{"title":"Cavity Pattern Formation and Its Dynamics of Fiber Fuse in Single-Mode Optical Fibers","authors":"Y. Shuto","doi":"10.26713/JIMS.V12I4.1459","DOIUrl":"https://doi.org/10.26713/JIMS.V12I4.1459","url":null,"abstract":"The nonlinear oscillation model using the Van der Pol equation was able to phenomenologically explain the formation of periodic cavities, the cavity shape, and the regularity of the cavity pattern in the core layer as a result of the relaxation oscillation and cavity compression and/or deformation. We assumed the relationships between the parameters of the population dynamics of interacting self-oscillators using the Kuramoto model and the fiber fuse propagation, and found an equation describing the power dependence of the periodic cavity interval. The experimentally determined cavity intervals at (P_{th} leq P_0 leq 5) W satisfied this equation. Furthermore, the experimental cavity intervals at (P_0 >6) W can be explained by considering the power dependence of the propagation velocity of the fiber fuse and the constant period of the Van der Pol oscillator.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"80 1","pages":"271-288"},"PeriodicalIF":0.5,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81546673","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: 1
Fixed Point Theorems of (alpha_*)-(psi)-Common Rational Type Contractive Order Closed Set-Valued Mappings on Generalized Metric Spaces (alpha_*) - (psi)的不动点定理——广义度量空间上的公理型压缩序闭集值映射
IF 0.5
Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2020-12-31 DOI: 10.26713/JIMS.V12I4.1492
F. Lotfy, J. H. Asl
{"title":"Fixed Point Theorems of (alpha_*)-(psi)-Common Rational Type Contractive Order Closed Set-Valued Mappings on Generalized Metric Spaces","authors":"F. Lotfy, J. H. Asl","doi":"10.26713/JIMS.V12I4.1492","DOIUrl":"https://doi.org/10.26713/JIMS.V12I4.1492","url":null,"abstract":"Alsulami et al . [4] introduced the notion of ((alpha)-(psi))-rational type contractive mappings. They have been established some fixed point theorems for the mappings in complete generalized metric spaces. In this paper, we introduce the notion of some fixed point theorems of (alpha_*)-(psi)-common rational type contractive order closed set-valued mappings on generalized metric spaces with application to fractional integral equations and give a common fixed point result about fixed points of the set-valued mappings. Also, we give a result about common fixed points of self-maps on a partially ordered set and on complete metric satisfy a contractive condition.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"204 1","pages":"299-316"},"PeriodicalIF":0.5,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76898638","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
Method of Reduction of Order for Solving Singularly Perturbed Delay Differential Equations 求解奇摄动时滞微分方程的降阶方法
IF 0.5
Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2020-12-31 DOI: 10.26713/JIMS.V12I4.1463
M. Adilaxmi
{"title":"Method of Reduction of Order for Solving Singularly Perturbed Delay Differential Equations","authors":"M. Adilaxmi","doi":"10.26713/JIMS.V12I4.1463","DOIUrl":"https://doi.org/10.26713/JIMS.V12I4.1463","url":null,"abstract":"In this paper, we have presented and illustrated the method of reduction of order for solving singularly perturbed delay differential equations. The given second order singularly perturbed delay differential equation is replaced by a pair of first order problems. These are in turn solved by initial value solvers. The integration of these initial value problems goes in the opposite direction. The applicability of this method is demonstrated by solving some model problems and the numerical results are compared with the exact solution. From the tables and figures, it is observed that the present method produces satisfactory results.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"14 1","pages":"289-297"},"PeriodicalIF":0.5,"publicationDate":"2020-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86497144","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
New Subclass of Meromorphic Functions Defined by Bessel Function 由贝塞尔函数定义的亚纯函数的新子类
IF 0.5
Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2020-09-30 DOI: 10.26713/JIMS.V12I3.1469
Santosh M. Popade, R. N. Ingle, P. Reddy, B. Venkateswarlu
{"title":"New Subclass of Meromorphic Functions Defined by Bessel Function","authors":"Santosh M. Popade, R. N. Ingle, P. Reddy, B. Venkateswarlu","doi":"10.26713/JIMS.V12I3.1469","DOIUrl":"https://doi.org/10.26713/JIMS.V12I3.1469","url":null,"abstract":"In this paper, we introduce and study a new subclass of meromorphic univalent functions defined by Bessel function. We obtain coefficient inequalities, extreme points, radius of starlikeness and convexity. Finally, we obtain partial sums and neighborhood properties for the class (sigma _p ^* ( eta, k, lambda, upsilon)).","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"25 1","pages":"189-198"},"PeriodicalIF":0.5,"publicationDate":"2020-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79505069","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 the Dynamics of Banana Weevil, Cosmopolites Sordidus (Germar), by Trapping with Holling Type II Response Function 用Holling II型响应函数诱捕法模拟香蕉象鼻虫(德国)的动态
IF 0.5
Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2020-09-30 DOI: 10.26713/JIMS.V12I3.1387
Eliab Horub Kweyunga, J. Tumwiine, E. Karamura
{"title":"Modeling the Dynamics of Banana Weevil, Cosmopolites Sordidus (Germar), by Trapping with Holling Type II Response Function","authors":"Eliab Horub Kweyunga, J. Tumwiine, E. Karamura","doi":"10.26713/JIMS.V12I3.1387","DOIUrl":"https://doi.org/10.26713/JIMS.V12I3.1387","url":null,"abstract":"A harvested logistic growth model that incorporates trapping of the adult banana weevils is formulated and solved both analytically and numerically. Key in the analysis of the model is the derivation of the critical trapping rate, that is, the threshold above which extinction of the banana weevils is a possibility. The existence of the saddle-node bifurcation is investigated. It is established that the stability of the equilibria is dependent on the relative sizes of the intrinsic growth rate and the carrying capacity. It is also found out that when the trapping rate exceeds the critical value, the model displays chaotic behavior and the trapping of the adult banana weevils in isolation can only provide short term relief. Thus a management package that targets all developmental stages of the banana weevils would be more effective. Numerical simulations are performed and agree with the analytical results.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"45 1","pages":"173-187"},"PeriodicalIF":0.5,"publicationDate":"2020-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84557590","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
Solution of Nonlinear Random Partial Differential Equations by Using Finite Element Method 非线性随机偏微分方程的有限元解法
IF 0.5
Iranian Journal of Mathematical Sciences and Informatics Pub Date : 2020-09-30 DOI: 10.26713/JIMS.V12I3.1405
Ibrahim Elkott, A. Elsaid, I. El-Kalla
{"title":"Solution of Nonlinear Random Partial Differential Equations by Using Finite Element Method","authors":"Ibrahim Elkott, A. Elsaid, I. El-Kalla","doi":"10.26713/JIMS.V12I3.1405","DOIUrl":"https://doi.org/10.26713/JIMS.V12I3.1405","url":null,"abstract":"In this paper, a new technique is proposed to solve some classes of nonlinear random partial differential equations using finite element method. Through this technique we were able to deal with the random variable in the presence of a nonlinear function. The idea of this technique is based on assuming that the nodal coefficients are functions of the random variable. Then by discretization of the random variable and using fitting over the discretized values of the random variable, and utilizing the shape functions of the finite element method, we get the approximate solution as a function in both space and random variable. Some numerical examples, in different domains, are presented to show the effectiveness of this technique.","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":"40 1","pages":"233-246"},"PeriodicalIF":0.5,"publicationDate":"2020-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81738607","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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