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Generalized Geometry of Tangential and Affine Configuration ChainComplexes 切向和仿射构型链配合物的广义几何
Punjab University Journal of Mathematics Pub Date : 2021-11-25 DOI: 10.52280/pujm.2021.531103
M. Khalid, M. Sultana, Azhar Iqbal, Javed Khan
{"title":"Generalized Geometry of Tangential and Affine Configuration Chain\u0000Complexes","authors":"M. Khalid, M. Sultana, Azhar Iqbal, Javed Khan","doi":"10.52280/pujm.2021.531103","DOIUrl":"https://doi.org/10.52280/pujm.2021.531103","url":null,"abstract":"In this work, geometry of tangential and affine configuration\u0000chain complex is proposed in generalized form. Initially tangential and\u0000affine configuration chain complexes are connected for special case n = 6,\u0000lastly this concept is generalized for any case n ∈ N through two types of\u0000generalized homomorphisms.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124730251","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
Semi Analytic Solution of Hodgkin-Huxley Model by Homotopy Perturbation Method 霍奇金-赫胥黎模型的同伦摄动半解析解
Punjab University Journal of Mathematics Pub Date : 2021-11-25 DOI: 10.52280/pujm.2021.531105
Khairunnisa Khan, H. B. Z. Syed
{"title":"Semi Analytic Solution of Hodgkin-Huxley Model by Homotopy Perturbation Method","authors":"Khairunnisa Khan, H. B. Z. Syed","doi":"10.52280/pujm.2021.531105","DOIUrl":"https://doi.org/10.52280/pujm.2021.531105","url":null,"abstract":"Hodgkin-Huxley model is a system of four non-linear coupled differential equations which describes and explains the threshold and action potential by a stimulus arising in a single neuron. The solution and analysis of Hodgkin-Huxley equations is a formidable task because of the coupling between non-linear differential equations, lots of unknowns and their dependence on many physical parameters. Although this model has\u0000been solved by numerical methods, finding an analytic solution is interesting due to the challenges that the continuum model offers. In this paper, first order semi analytic solution of this model, in space-clamped situation, is derived by Homotopy Perturbation Method. We applied this technique in piece wise manner due to the strong and complex coupling between the variables in the model. Without this modification, finding an accurate analytic solution is impossible for this neural model. Results show\u0000that computed analytic solution has excellent agreement with higher order\u0000numerical solution. Robustness of the computed analytic solution in different physical scenarios is examined. Further, this analytic solution can\u0000describe many key properties such as the threshold potential, the action\u0000potential and the refractory period. MATLAB software is used to simulate\u0000the solution.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"36 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131198147","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
Families of Means-Based Modified Newtons Method for Solving Nonlinear Model 基于均值族的修正牛顿法求解非线性模型
Punjab University Journal of Mathematics Pub Date : 2021-11-25 DOI: 10.52280/pujm.2021.531102
{"title":"Families of Means-Based Modified Newtons Method for Solving Nonlinear Model","authors":"","doi":"10.52280/pujm.2021.531102","DOIUrl":"https://doi.org/10.52280/pujm.2021.531102","url":null,"abstract":"In literature, the arithmetic mean of the two functions in the denominator of the second step of order three Weerakoon and Fernando (2000) iterative method have been replaced with other different means. However, these actions have not improve its order of convergence. To improve the order of convergence of these modified methods, a generic family of iterative methods that involve two weight functions and a generic consequential function for replacement of means is proposed. The analysis of convergence carried out on the families of methods, shows that they are of fourth order convergence and requires evaluation of three functions per iteration cycle. Further, the flexibility of the weight functions enables the re-discovery of some existing and construction of new families of iterative methods. Some concrete members of the family of methods are applied to solve some nonlinear equations and real life problems that are modeled into nonlinear equations","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123093241","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 integral inequalities of Hermite–Hadamard type in a generalized context 广义上的Hermite-Hadamard型新的积分不等式
Punjab University Journal of Mathematics Pub Date : 2021-11-25 DOI: 10.52280/pujm.2021.531101
Eduardo Nápoles, Ihsan Butt
{"title":"New integral inequalities of Hermite–Hadamard type in a generalized context","authors":"Eduardo Nápoles, Ihsan Butt","doi":"10.52280/pujm.2021.531101","DOIUrl":"https://doi.org/10.52280/pujm.2021.531101","url":null,"abstract":"In this paper, we obtained new integral inequalities of the Hermite–Hadamard type for convex and quasi–convex functions in a generalized context.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131425062","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: 4
A New k-Fractional Integral Operators and their Applications 一种新的k分数阶积分算子及其应用
Punjab University Journal of Mathematics Pub Date : 2021-11-25 DOI: 10.52280/pujm.2021.531104
Hina Ilyas, G. Farid
{"title":"A New k-Fractional Integral Operators and their Applications","authors":"Hina Ilyas, G. Farid","doi":"10.52280/pujm.2021.531104","DOIUrl":"https://doi.org/10.52280/pujm.2021.531104","url":null,"abstract":"In this paper, we present a new k-fractional integral oper-ators involving\u0000parameters γ, λ analogous to the Riemann-Liouville k-fractional integral. This new\u0000fractional integral operators dependent on an exponential function of arbitrary exponent in\u0000the kernel of the integral. We prove, certain basic properties such as semi group property,\u0000commu-tative law and boundedness for new fractional integral operators. Also, we discuss\u0000Chebyshev type inequalities and some k-fractional integral in-equalities corresponding to\u0000the new k-fractional integral operators","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"50 11","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120920001","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
Oscillation and nonoscillation criteria for second order difference equations withgeneralized difference operators 广义差分算子二阶差分方程的振动与非振动判据
Punjab University Journal of Mathematics Pub Date : 2021-10-27 DOI: 10.52280/pujm.2021.531005
{"title":"Oscillation and nonoscillation criteria for second order difference equations with\u0000generalized difference operators","authors":"","doi":"10.52280/pujm.2021.531005","DOIUrl":"https://doi.org/10.52280/pujm.2021.531005","url":null,"abstract":"In this study we investigate some new oscillation and nonoscillation criteria and generalize and improve some results in the literatures for second order nonlinear difference equation with generalized difference operators of the form ∆l,a(pn∆l,axn) + qn(∆l,axn)\u0000β = F (n, xn, ∆l,bxn), where ∆l,σ is generalized difference operator such that defined as ∆l,σxn = xn+l − σxn, and F : N × R 2→ R˙ . Also, some examples illustrating the results are","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127108786","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 Integration and Solution of Generalized kinetic equation consideringGeneralized Lommel-Wright function 考虑广义Lommel-Wright函数的广义动力学方程的分数积分与解
Punjab University Journal of Mathematics Pub Date : 2021-10-26 DOI: 10.52280/pujm.2021.531004
S. Naheed, S. Mubeen, G. Rahman
{"title":"Fractional Integration and Solution of Generalized kinetic equation considering\u0000Generalized Lommel-Wright function","authors":"S. Naheed, S. Mubeen, G. Rahman","doi":"10.52280/pujm.2021.531004","DOIUrl":"https://doi.org/10.52280/pujm.2021.531004","url":null,"abstract":"In this article, we initially built the generalized form of the Lommel-Wright function and then evaluated the Saigo hypergeometric fractional integrals of the newly built special function. We developed a generalized form of the fractional kinetic equation using the introduced special function. The solution of the generalized fractional kinetic equation in terms of the Mittag-Leffler functions is established via Laplace transform. Some special cases are also discussed.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125934923","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
Centre of Unitary Subgroup of Modular Group Algebra’s 模群代数的酉子群中心
Punjab University Journal of Mathematics Pub Date : 2021-10-26 DOI: 10.52280/pujm.2021.531003
S. Parveen, Asia Inam, Farwa Idrees
{"title":"Centre of Unitary Subgroup of Modular Group Algebra’s","authors":"S. Parveen, Asia Inam, Farwa Idrees","doi":"10.52280/pujm.2021.531003","DOIUrl":"https://doi.org/10.52280/pujm.2021.531003","url":null,"abstract":"We establish the structure of the centre of V∗(F2 k (M2n+1 )), 1 V∗(F2 k (M2n+1 × C2)) and V∗(F2 k ((M2n+1 × C2) × C2)) over a finite field of characteristics 2 where M2n+1 =< ψ, λ|ψ\u00002n = λ 2 = 1, λψ = ψ 2n+1λ > is the Modular group having order 2 n+1 and C2 is a cyclic\u0000group of order 2","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"116 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133858270","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
Multipolar Interval-Valued Fuzzy Set with Application of SimilarityMeasures and multi-person TOPSIS technique 应用相似测度和多人TOPSIS技术的多极区间值模糊集
Punjab University Journal of Mathematics Pub Date : 2021-10-25 DOI: 10.52280/pujm.2021.531001
M. Saeed, Asad Mehmood, Muhammad Arslan
{"title":"Multipolar Interval-Valued Fuzzy Set with Application of Similarity\u0000Measures and multi-person TOPSIS technique","authors":"M. Saeed, Asad Mehmood, Muhammad Arslan","doi":"10.52280/pujm.2021.531001","DOIUrl":"https://doi.org/10.52280/pujm.2021.531001","url":null,"abstract":"A Similarity measure in the fuzzy structure plays a very considerable role in manipulating hurdles that apprehend vague data, but unable to deal with the ambiguous and variability of the problems having multipolar interval-valued data. In this research article, a certain distance between two multipolar interval-valued fuzzy sets (mIVF sets) has been defined. A\u0000new similarity measure (Sim.M) for mIVF based on distances has been introduced, also some of the basic operations on the structure has been defined such as union, intersection, and complement. MCDM is performed for mIVF information that measure the similarity measure based on distance measure for the best alternative. An application is given that the proposed Sim.M for mIVF set is capable of recognition the nature and\u0000structure of different entities which belongs to the same family. Furthermore, a multiperson TOPSIS technique is developed for the structure of mIVF with an algorithm for the selection of the best alternative","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114707154","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
Soliton solutions of coupled complex modified Korteweg-de Vries system throughBinary Darboux transformation 通过二元达布变换的耦合复修正Korteweg-de Vries系统的孤子解
Punjab University Journal of Mathematics Pub Date : 2021-10-25 DOI: 10.52280/pujm.2021.531002
{"title":"Soliton solutions of coupled complex modified Korteweg-de Vries system through\u0000Binary Darboux transformation","authors":"","doi":"10.52280/pujm.2021.531002","DOIUrl":"https://doi.org/10.52280/pujm.2021.531002","url":null,"abstract":"In this article, we find various kind of solutions of coupled complex modified (KdV) system by using very interesting method binary Darboux transformation. Generally the solutions are classified into zero seed and non-zero seed. In zero seed solutions, we find breather solution and one soliton solution. While in non-zero seed solutions, we obtain bright-bright solitons, w-shaped solitons, bright-dark solitons, periodic and rouge waves solutions. The behavior of these solutions can easily examine from figures.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126766450","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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