Abstract Via Hirota bilinear method and perturbation technique, a more general N-soliton solution with a parameter p for a (3+1)-dimensional nonlinear evolution equation is obtained. And two N-soliton solutions in terms of Wronskian determinant are also presented in the case of p = 1 and p = 3.
{"title":"N-soliton solutions for a (3+1)-dimensional nonlinear evolution equation","authors":"Hongye Wang, Yan Wang","doi":"10.2478/gm-2021-0006","DOIUrl":"https://doi.org/10.2478/gm-2021-0006","url":null,"abstract":"Abstract Via Hirota bilinear method and perturbation technique, a more general N-soliton solution with a parameter p for a (3+1)-dimensional nonlinear evolution equation is obtained. And two N-soliton solutions in terms of Wronskian determinant are also presented in the case of p = 1 and p = 3.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"6 1","pages":"63 - 77"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74912570","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}
Abstract In this current study, we introduce and investigate a new subclass of holormorphic and bi-univalent functions 𝕰 η,ϕq(ϑ) in the unit disk λ associated with q-derivative operator. The coefficient estimates |b2| and |b3| on the new subclass are obtained and important results are indicated.
{"title":"Coefficient estimates for a subclass of bi-univalent functions involving the q-derivatives operator","authors":"T. G. Shaba, A. Wanas","doi":"10.2478/gm-2021-0004","DOIUrl":"https://doi.org/10.2478/gm-2021-0004","url":null,"abstract":"Abstract In this current study, we introduce and investigate a new subclass of holormorphic and bi-univalent functions 𝕰 η,ϕq(ϑ) in the unit disk λ associated with q-derivative operator. The coefficient estimates |b2| and |b3| on the new subclass are obtained and important results are indicated.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"71 1","pages":"41 - 54"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86154467","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}
Abstract This paper is dealing with a class of operators fixing exponential functions. We study its convergence and an asymptotic formula is obtained. Finally, a comparison is stated, that shows that in a certain particular cases the new sequence approximates better than the classical ones.
{"title":"The modified Bernstein-Stancu operators","authors":"Sergiu-Vlad Paşca","doi":"10.2478/gm-2021-0010","DOIUrl":"https://doi.org/10.2478/gm-2021-0010","url":null,"abstract":"Abstract This paper is dealing with a class of operators fixing exponential functions. We study its convergence and an asymptotic formula is obtained. Finally, a comparison is stated, that shows that in a certain particular cases the new sequence approximates better than the classical ones.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"1 1","pages":"121 - 128"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83094860","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}
Abstract In this paper, we suggest and analyze a new approximation schemes (3) to solve the extended general variational inequalities (2), which were introduced by Muhammad Aslam Noor (see[7, 9]). Using the projection operator technique, we establish the equivalence between the extended general variational inequalities and the fixed-point problem. This equivalent formulation is used to discuss the existence of a solution of the extended general variational inequalities. Several special cases are also discussed.
{"title":"Iterative methods for extended general variational inequalities","authors":"Ayache Benhadid","doi":"10.2478/gm-2021-0008","DOIUrl":"https://doi.org/10.2478/gm-2021-0008","url":null,"abstract":"Abstract In this paper, we suggest and analyze a new approximation schemes (3) to solve the extended general variational inequalities (2), which were introduced by Muhammad Aslam Noor (see[7, 9]). Using the projection operator technique, we establish the equivalence between the extended general variational inequalities and the fixed-point problem. This equivalent formulation is used to discuss the existence of a solution of the extended general variational inequalities. Several special cases are also discussed.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"92 1","pages":"95 - 102"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83596136","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}
Abstract We are concerned with a family of Markov operators and some modifications of them. Differences involving such operators are studied. We compare their Voronovskaya formulas and determine the limits of their iterates.
{"title":"Differences of classical and modified operators","authors":"M. Dancs","doi":"10.2478/gm-2021-0001","DOIUrl":"https://doi.org/10.2478/gm-2021-0001","url":null,"abstract":"Abstract We are concerned with a family of Markov operators and some modifications of them. Differences involving such operators are studied. We compare their Voronovskaya formulas and determine the limits of their iterates.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"17 4","pages":"3 - 12"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72398403","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":"Preface to the Special Issue on the International Conference on Cyber Security and recent trends in Mathematical Modeling","authors":"S. Lazaar","doi":"10.31559/glm2021.10.2.0","DOIUrl":"https://doi.org/10.31559/glm2021.10.2.0","url":null,"abstract":"","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48674360","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}
Abstract In this paper, we consider the ruled surfaces obtained the lightlike curve in the 2-dimensional lightlike cone according to the frame given in [7]. We obtain necessary and sufficient conditions for the ruled surfaces to be minimal and to have a harmonic Gauss map. Then we see that the ruled surface is minimal if and only if it has a harmonic Gauss map.
{"title":"Ruled surfaces obtained by curves in the lightlike cone","authors":"A. Uçum","doi":"10.2478/gm-2021-0005","DOIUrl":"https://doi.org/10.2478/gm-2021-0005","url":null,"abstract":"Abstract In this paper, we consider the ruled surfaces obtained the lightlike curve in the 2-dimensional lightlike cone according to the frame given in [7]. We obtain necessary and sufficient conditions for the ruled surfaces to be minimal and to have a harmonic Gauss map. Then we see that the ruled surface is minimal if and only if it has a harmonic Gauss map.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"19 1","pages":"55 - 61"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80481820","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}
Abstract A new continuous distribution is proposed using Epanechnikov kernel function and the exponential distribution. This distribution is called the Epanechnikov-exponential distribution. Some properties of this distribution are studied. A simulation study is conducted to calculate the mean and the standard deviation of this distribution and to investigate the behavior of MLE to conserve the consistency property. An application to a real data set is conducted, it showed that he new distribution is more flexible than the exponential distribution.
{"title":"Epanechnikov-exponential distribution: properties and applications","authors":"Ahmad Alkhazaalh, Loai Al-Zoubi","doi":"10.2478/gm-2021-0002","DOIUrl":"https://doi.org/10.2478/gm-2021-0002","url":null,"abstract":"Abstract A new continuous distribution is proposed using Epanechnikov kernel function and the exponential distribution. This distribution is called the Epanechnikov-exponential distribution. Some properties of this distribution are studied. A simulation study is conducted to calculate the mean and the standard deviation of this distribution and to investigate the behavior of MLE to conserve the consistency property. An application to a real data set is conducted, it showed that he new distribution is more flexible than the exponential distribution.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"12 1","pages":"13 - 29"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88279508","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}
Fractional calculus has been widely used in mathematical modeling of evolutionary systems with memory effect on dynamics. In order to illustrate the efficiency of this non-integer order calculus, we employ SEIR models to model the dynamics, with and without memory, of the spread of Covid-19 in Morocco country.
{"title":"Analysis of the spread of COVID-19 in Morocco based on a SEIR epidemic model","authors":"M. Ammi, M. Tahiri","doi":"10.31559/glm2021.10.2.8","DOIUrl":"https://doi.org/10.31559/glm2021.10.2.8","url":null,"abstract":"Fractional calculus has been widely used in mathematical modeling of evolutionary systems with memory effect on dynamics. In order to illustrate the efficiency of this non-integer order calculus, we employ SEIR models to model the dynamics, with and without memory, of the spread of Covid-19 in Morocco country.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70007581","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}
Abstract For some classes of analytic functions f, g, h and k in the open unit disk 𝕌, we consider the general integral operator 𝒢n, that was introduced in a recent work [1] and we obtain new conditions of univalence for this integral operator. The key tools in the proofs of our results are the Pascu’s and the Pescar’s univalence criteria, as well as the Mocanu’s and Şerb’s Lemma. Some corollaries of the main results are also considered. Relevant connections of the results presented here with various other known results are briefly indicated.
{"title":"Some univalence conditions related to a general integral operator","authors":"C. Bărbatu, D. Breaz","doi":"10.2478/gm-2020-0013","DOIUrl":"https://doi.org/10.2478/gm-2020-0013","url":null,"abstract":"Abstract For some classes of analytic functions f, g, h and k in the open unit disk 𝕌, we consider the general integral operator 𝒢n, that was introduced in a recent work [1] and we obtain new conditions of univalence for this integral operator. The key tools in the proofs of our results are the Pascu’s and the Pescar’s univalence criteria, as well as the Mocanu’s and Şerb’s Lemma. Some corollaries of the main results are also considered. Relevant connections of the results presented here with various other known results are briefly indicated.","PeriodicalId":32454,"journal":{"name":"General Letters in Mathematics","volume":"163 1","pages":"33 - 47"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86374974","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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