{"title":"Stability of a generalised difference functional equation","authors":"Arunkumar M","doi":"10.26524/cm186","DOIUrl":"https://doi.org/10.26524/cm186","url":null,"abstract":"In this paper, we discuss the generalised Ulam Hyers stability of a generalized dierence functional equation","PeriodicalId":414198,"journal":{"name":"Journal of Computational Mathematica","volume":"26 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141813421","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 Study on Fuzzy Simply Lindelof Spaces","authors":"A. S, Mohamed Ali A","doi":"10.26524/cm154","DOIUrl":"https://doi.org/10.26524/cm154","url":null,"abstract":"In this paper, the concept of fuzzy simply Lindelof spaces is introduced. Several characterizations of fuzzy simply Lindelof spaces are given.","PeriodicalId":414198,"journal":{"name":"Journal of Computational Mathematica","volume":"102 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122694787","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 Paired Domination of Some Graphs","authors":"Rakhimol V. Isaac, Parashree Pandya","doi":"10.26524/cm153","DOIUrl":"https://doi.org/10.26524/cm153","url":null,"abstract":"\u0000 \u0000 \u0000For a graph a subset D of the vertex set is called a dominating set if every vertex in is adjacent to some vertex in D. The domination number is the minimum cardinality of a dominating set of a graph G. The paired dominating set of a graph is a dominating set and the subgraph induced by it contains a perfect matching. The paired domination number is the minimum cardinality of a paired dominating set in G. In this paper, we discuss the paired domination number of the graphs obtained by the kth power of path and cycle and degree splitting graphs of some standard graphs. \u0000 \u0000 \u0000","PeriodicalId":414198,"journal":{"name":"Journal of Computational Mathematica","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121045902","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 Connectivity of Zero-Divisor Graphs and Complement Graphs of some Semi-Local Rings","authors":"Subhash Mallinath Gaded, Nithya Sai Narayana","doi":"10.26524/cm156","DOIUrl":"https://doi.org/10.26524/cm156","url":null,"abstract":"Zero-divisor graphs have been a key area of focus for many researchers. For the semi local ring R of finite cartesian product of finite fields, we consider the zero divisor graph of R denoted by Γ(R) with vertex set as the non-zero zero-divisors of R where two vertices u and v are adjacent if and only if the product of u and v is the additive identity of the Ring R. The objective of this paper is to determine the number of cut vertices and cut edges, vertex connectivity and edge connectivity of the zero divisor graph Γ(R) and complement graph Γ(R).","PeriodicalId":414198,"journal":{"name":"Journal of Computational Mathematica","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126803156","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 Study on Intuitionistic Fuzzy Baire Spaces","authors":"Akila S, Mohamed Ali A","doi":"10.26524/cm155","DOIUrl":"https://doi.org/10.26524/cm155","url":null,"abstract":"In this paper, the concepts of intuitionistic fuzzy Baire spaces are introduced and characterizations of intuitionistic fuzzy Baire spaces are studied.","PeriodicalId":414198,"journal":{"name":"Journal of Computational Mathematica","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128051341","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}
A. Chauhan, G. R. Gautam, Jitendra Kumar, J. Dabas, Chauhan S P S
{"title":"Stochastic fractional differential equations with generalized Caputo's derivative and impulsive effects","authors":"A. Chauhan, G. R. Gautam, Jitendra Kumar, J. Dabas, Chauhan S P S","doi":"10.26524/cm152","DOIUrl":"https://doi.org/10.26524/cm152","url":null,"abstract":"In this paper, impulsive stochastic fractional differential equations (ISFDEs) in Lp (p> 2) space are introduced. We present a general framework for finding solution for ISFDEs. Then, by using the Burkholder - Davis - Gundy inequality and Holder's inequality, we prove the existence and uniqueness of solution to ISFDE by fixed point theorem. We also investigate Lipschitz continuity of solutions with respect to initial values by using Gronwall inequality. Finally, we provide an application to illustrate the results we obtained. \u0000 ","PeriodicalId":414198,"journal":{"name":"Journal of Computational Mathematica","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123948924","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":"Irredundant complete cototal dominating set","authors":"A. W, Stanis Arul Mary A","doi":"10.26524/cm149","DOIUrl":"https://doi.org/10.26524/cm149","url":null,"abstract":"The complete cototal domination set is said to be irredundant complete cototal dominating set if for each u ∈ S, NG [S − {u}] ≠ [S]. The minimum cardinality taken over all an irredundant complete dominating set is called an irredundant complete cototal domination number and is denoted by γircc(G). Here a new domination parameter called an irredundant complete cototal dominating set was introduced and the study of bounds of γircc(G) was initiated.","PeriodicalId":414198,"journal":{"name":"Journal of Computational Mathematica","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131826453","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":"Pentapartitioned neutrosophic almost resolvable and irresolvable spaces","authors":"Radha R, Stanis Arul Mary A","doi":"10.26524/cm148","DOIUrl":"https://doi.org/10.26524/cm148","url":null,"abstract":"The aim of this paper is to develop many characterizations of Pentapartitioned Neutrosophic (PN) almost resolvable and irresolvable spaces and also the condition under that a PN almost resolvable space becomes a PN baire space. The interrelations between PN almost resolvable spaces and other spaces also are mentioned.","PeriodicalId":414198,"journal":{"name":"Journal of Computational Mathematica","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122173372","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 study on analytical solutions for stochastic differential equations via martingale processes","authors":"Syed Tahir Hussainy, P. K.","doi":"10.26524/cm151","DOIUrl":"https://doi.org/10.26524/cm151","url":null,"abstract":"In this paper, we propose some analytical solutions of stochastic differential equations related to Martingale processes. In the first resolution, the answers of some stochastic differential equations are connected to other stochastic equations just with diffusion part (or drift free). The second suitable method is to convert stochastic differential equations into ordinary ones that it is tried to omit diffusion part of stochastic equation by applying Martingale processes. Finally, solution focuses on change of variable method that can be utilized about stochastic differential equations which are as function of Martingale processes like Wiener process, exponential Martingale process and differentiable processes.","PeriodicalId":414198,"journal":{"name":"Journal of Computational Mathematica","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123601145","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":"Interval valued pythagorean fuzzy perfectly weakly generalized continuous mappings","authors":"Mahema S, Mohana K","doi":"10.26524/cm147","DOIUrl":"https://doi.org/10.26524/cm147","url":null,"abstract":"The purpose of this paper is to introduce and study the concepts of Interval valued pythagorean fuzzy perfectly weakly generalized continuous mappings and Interval valued pythagorean fuzzy perfectly weakly generalized open mappings in Interval valued pythagorean fuzzy topological space. Some of their properties are explored. \u0000 ","PeriodicalId":414198,"journal":{"name":"Journal of Computational Mathematica","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127116344","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}