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FIXED POINT THEOREMS FOR θ-EXPANSIONS IN BRANCIARI METRIC SPACES 布朗度量空间中θ-展开式的不动点定理
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.10
Priya Shahi, V. Mishra
{"title":"FIXED POINT THEOREMS FOR θ-EXPANSIONS IN BRANCIARI METRIC SPACES","authors":"Priya Shahi, V. Mishra","doi":"10.56827/jrsmms.2022.1001.10","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.10","url":null,"abstract":"In this paper, we define θ-expansions on Branciari metric spaces by complementing the concept of θ-contractions introduced by Jleli and Samet (J. Inequal. Appl. 2014:38, 2014). Also, we present some new fixed point results for θ-expansion mappings on a Branciari metric space.","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"110 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115840244","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
COMPOSITION OF PATHWAY FRACTIONAL INTEGRAL OPERATOR ON PRODUCT OF SPECIAL FUNCTIONS 特殊函数积上路径分数阶积分算子的复合
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.4
Harish Nagar, Shristi . Mishra
{"title":"COMPOSITION OF PATHWAY FRACTIONAL INTEGRAL OPERATOR ON PRODUCT OF SPECIAL FUNCTIONS","authors":"Harish Nagar, Shristi . Mishra","doi":"10.56827/jrsmms.2022.1001.4","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.4","url":null,"abstract":"In this paper, we study the pathway fractional integral operator colluded with composition of K-Struve function and extended Mittag-Leffler function. The obtained result is expressed in terms of generalized Wright hypergeometric function.","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122508269","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
LG-FUZZY PARTITION OF UNITY 单位的Lg-fuzzy划分
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.11
Marzieh Mostafavi
{"title":"LG-FUZZY PARTITION OF UNITY","authors":"Marzieh Mostafavi","doi":"10.56827/jrsmms.2022.1001.11","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.11","url":null,"abstract":"In this paper, we define LGc-fuzzy Euclidean topological space with countable basis, which L denotes a complete distributive lattice and we show that each LGc-fuzzy open covering of this space can be refined to an LGc-fuzzy open covering that is locally finite. We introduce C∞ LG-fuzzy manifold (X, Tc), with countable basis of LG-fuzzy open sets which X is an L-fuzzy subset of a crisp set M and T : LMX → L, is an L-gradation of openness on X. We prove that for any LG-fuzzy topological manifold (X,T), there exists an LG-fuzzy exhaustion. We prove LG-Urysohn lemma and also existence of LG-partitions of unity on every LG-fuzzy topological manifold.","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"156 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127360278","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
EXPANDING THE LAURENT SERIES WITH ITS APPLICATIONS 扩展劳伦系列及其应用
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.15
G. Adhikari
{"title":"EXPANDING THE LAURENT SERIES WITH ITS APPLICATIONS","authors":"G. Adhikari","doi":"10.56827/jrsmms.2022.1001.15","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.15","url":null,"abstract":"In Nepal, there are many mathematics subjects taught at university level. Among them, complex analysis is the most powerful. In complex analysis, the Laurent series expansion is a well-known subject because it may be used to find the residues of complex functions around their singularities. It turns out that computing the Laurent series of a function around its singularities is an effective way to calculate the integral of the function along any closed contour around the singularities as well as the residue of the function. Learning the Laurent series concepts can be difficult, and many students struggle to develop adequate understanding, reasoning, and problem-solving skills. Therefore, this article presents multiple practical examples where the Laurent series of a function is found and then utilized to compute the integral of the function over any closed contour around the singularities of the function, based on the theory of the Laurent series.","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123146864","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 MATHEMATICAL MODEL OF GLUCOSE HOMEOSTASIS IN CHAD CONTEXT 乍得环境中葡萄糖稳态的数学模型
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.13
Adam Hassan Adoum, M. Haggar, T. Djaokamla, J. Ntaganda
{"title":"A MATHEMATICAL MODEL OF GLUCOSE HOMEOSTASIS IN CHAD CONTEXT","authors":"Adam Hassan Adoum, M. Haggar, T. Djaokamla, J. Ntaganda","doi":"10.56827/jrsmms.2022.1001.13","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.13","url":null,"abstract":"During these decades, mathematical modeling has become a key domain in science, especially in biomedical sciences. It allows for an experimental and rigorous approach. Thanks to mathematical modeling, the glucose-insulin system could be materialized, which is also theoretical, in order to analyze and interpret it and to predict the results. Many of the mathematical models of the glucose-insulin system have emerged in recent years. In literature, there are models that show the role of physical activity and response of mathematical model to glucose-insulin system dynamics. We propose the mathematical model of ordinary differential equations to investigate simple homeostasis generated by the dynamics of physiological parameters of the glucose-insulin system during physical activity for a healthy subject. Model parameters are estimated using a nonlinear optimization method generally based on inverse problems. The numerical simulations show that the proposed model is adaptable to the data collected in Chad and can be used to test glucose homeostasis for glucose-insulin system.","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"100 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134228375","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 NOTE ON ROGERS-RAMANUJAN-SLATER TYPE THETA FUNCTION IDENTITY 关于rogers-ramanujan-slater型函数恒等式的注记
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.3
Jianbing Cao, S. Arjika, M. Chaudhary
{"title":"A NOTE ON ROGERS-RAMANUJAN-SLATER TYPE THETA FUNCTION IDENTITY","authors":"Jianbing Cao, S. Arjika, M. Chaudhary","doi":"10.56827/jrsmms.2022.1001.3","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.3","url":null,"abstract":"In this paper, we research theta function identity involving Rogers– Ramanujan identity and establish a Rogers–Ramanujan–Slater type theta function identity related to G(q) and φ(q).","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130624885","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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