The solvability of the boundary value problem for pseudohyperbolic equations of the third order is investigated. For the problem under study, an algorithm for finding an approximate solution is proposed and sufficient conditions for unique solvability are established.
{"title":"On the solvability of a semiperiodic boundary value problem for a pseudohyperbolic equation","authors":"N. Orumbayeva, T. Tokmagambetova","doi":"10.2298/fil2303925o","DOIUrl":"https://doi.org/10.2298/fil2303925o","url":null,"abstract":"The solvability of the boundary value problem for pseudohyperbolic equations of the third order is investigated. For the problem under study, an algorithm for finding an approximate solution is proposed and sufficient conditions for unique solvability are established.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268089","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In the current work, we use the (M,N)-Lucas Polynomials to introduce a new family of holomorphic and bi-univalent functions which involve a linear combination between Bazilevic functions and ?-pseudo-starlike function defined in the unit disk D and establish upper bounds for the second and third coefficients of functions belongs to this new family. Also, we discuss Fekete-Szeg? problem in this new family.
{"title":"Coefficient bounds and Fekete-Szegő inequality for a certain family of holomorphic and bi-univalent functions defined by (M,N)-Lucas polynomials","authors":"A. Wanas, G. Sâlâgean, Ágnes Orsolya","doi":"10.2298/fil2304037w","DOIUrl":"https://doi.org/10.2298/fil2304037w","url":null,"abstract":"In the current work, we use the (M,N)-Lucas Polynomials to introduce a new family of holomorphic and bi-univalent functions which involve a linear combination between Bazilevic functions and ?-pseudo-starlike function defined in the unit disk D and establish upper bounds for the second and third coefficients of functions belongs to this new family. Also, we discuss Fekete-Szeg? problem in this new family.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The Langevin equation is a very important mathematical model in describing the random motion of particles. The fractional Langevin equation is a powerful tool in complex viscoelasticity. Therefore, this paper focuses on a class of nonlinear higher-order Hadamard fractional Langevin equation with integral boundary value conditions. Firstly, we employ successive approximation and Mittag-Leffler function to transform the differential equation into an equivalent integral equation. Then the existence and uniqueness of the solution are obtained by using the fixed point theory. Meanwhile, the Ulam-Hyers (UH) stability is proved by inequality technique and direct analysis.
{"title":"Existence and uh-stability of integral boundary problem for a class of nonlinear higher-order Hadamard fractional Langevin equation via Mittag-Leffler functions","authors":"Kaihong Zhao","doi":"10.2298/fil2304053z","DOIUrl":"https://doi.org/10.2298/fil2304053z","url":null,"abstract":"The Langevin equation is a very important mathematical model in describing the random motion of particles. The fractional Langevin equation is a powerful tool in complex viscoelasticity. Therefore, this paper focuses on a class of nonlinear higher-order Hadamard fractional Langevin equation with integral boundary value conditions. Firstly, we employ successive approximation and Mittag-Leffler function to transform the differential equation into an equivalent integral equation. Then the existence and uniqueness of the solution are obtained by using the fixed point theory. Meanwhile, the Ulam-Hyers (UH) stability is proved by inequality technique and direct analysis.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This article is devoted to prove the basic Chen?s inequalities for slant submanifolds in Riemannian space forms equipped with Golden structure. The equality case and some particular cases of derived inequalities are discussed.
{"title":"Some basic inequalities on golden Riemannian product manifolds with constant curvatures","authors":"M. Choudhary, S. Uddin","doi":"10.2298/fil2304155c","DOIUrl":"https://doi.org/10.2298/fil2304155c","url":null,"abstract":"This article is devoted to prove the basic Chen?s inequalities for slant submanifolds in Riemannian space forms equipped with Golden structure. The equality case and some particular cases of derived inequalities are discussed.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268500","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In a previous paper [9], some classes of triangular matrix transformations between the series spaces summable by the absolute weighted summability methods were characterized. In the present paper, we extend these classes to four dimensional matrices and double summability methods.
{"title":"Four dimensional matrix mappings on double summable spaces","authors":"M. Sarıgöl","doi":"10.2298/fil2304277s","DOIUrl":"https://doi.org/10.2298/fil2304277s","url":null,"abstract":"In a previous paper [9], some classes of triangular matrix transformations between the series spaces summable by the absolute weighted summability methods were characterized. In the present paper, we extend these classes to four dimensional matrices and double summability methods.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68268730","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The principal goal of this paper is to express the existence and uniqueness of the best proximity point for a comprehensive contractive non-self mapping in partially ordered metric spaces. The main result covers a lot of former well-known theorems in related to best proximity point. Moreover, as an interesting application, integral versions of main theorem are obtained.
{"title":"Best proximity points for (φ-ψ)-weak contractions and some applications","authors":"K. Fallahi, G. Rad, A. Fulga","doi":"10.2298/fil2306835f","DOIUrl":"https://doi.org/10.2298/fil2306835f","url":null,"abstract":"The principal goal of this paper is to express the existence and uniqueness of the best proximity point for a comprehensive contractive non-self mapping in partially ordered metric spaces. The main result covers a lot of former well-known theorems in related to best proximity point. Moreover, as an interesting application, integral versions of main theorem are obtained.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271168","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we study the concept of statistical convergence on L?fuzzy normed spaces. Then we give a useful characterization for statistically convergent sequences. Furthermore, we illustrate that our method of convergence is more general than the usual convergence on L?fuzzy normed spaces.
{"title":"Statistical convergence on L−fuzzy normed space","authors":"Reha Yapali, Hüsamettin Çoskun, U. Gürdal","doi":"10.2298/fil2307077y","DOIUrl":"https://doi.org/10.2298/fil2307077y","url":null,"abstract":"In this paper, we study the concept of statistical convergence on L?fuzzy normed spaces. Then we give a useful characterization for statistically convergent sequences. Furthermore, we illustrate that our method of convergence is more general than the usual convergence on L?fuzzy normed spaces.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68271458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We give the necessary and sufficient conditions for a gradient Ricci-Yamabe soliton with warped product metric. As physical applications, we consider gradient Ricci-Yamabe solitons on generalized Robertson-Walker space-times and standard static space-times.
{"title":"Gradient Ricci-Yamabe solitons on warped product manifolds","authors":"Fatma Karaca","doi":"10.2298/fil2307199k","DOIUrl":"https://doi.org/10.2298/fil2307199k","url":null,"abstract":"We give the necessary and sufficient conditions for a gradient Ricci-Yamabe soliton with warped product metric. As physical applications, we consider gradient Ricci-Yamabe solitons on generalized Robertson-Walker space-times and standard static space-times.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68272682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this work, we have studied the time fractional-order derivative of the pricing European options under Heston model. We found some positivity conditions for the solution obtained relative to the numerical methods used. Also, thanks to the properties of the Mittag-Leffler function, we were able to establish a stability result of the solution. Some numerical experiments are carried out to confirm the theoretical results obtained.
{"title":"Stability analysis for pricing options via time fractional Heston model","authors":"Hassen Arfaoui, Mohamed Kharrat","doi":"10.2298/fil2309685a","DOIUrl":"https://doi.org/10.2298/fil2309685a","url":null,"abstract":"In this work, we have studied the time fractional-order derivative of the pricing European options under Heston model. We found some positivity conditions for the solution obtained relative to the numerical methods used. Also, thanks to the properties of the Mittag-Leffler function, we were able to establish a stability result of the solution. Some numerical experiments are carried out to confirm the theoretical results obtained.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135594170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We show a complete classification of faithful representations of the 2 + 1 space-times Galilean Lie algebra on the polynomial ring in three variables, where actions of the Galilean Lie algebra are given by derivations with coefficients of degree at most one. In particular, all such representations of the Galilean Lie algebra are explicitly constructed and classified by one parameter. In a more general setting we show that, with respect to a nonzero abelian ideal of a finite-dimensional Lie algebra, there is at most one such representation up to graded-equivalence.
{"title":"On a classification of faithful representations of the Galilean lie algebra on the polynomial ring in three variables","authors":"Liang Wu, Youjun Tan","doi":"10.2298/fil2309807w","DOIUrl":"https://doi.org/10.2298/fil2309807w","url":null,"abstract":"We show a complete classification of faithful representations of the 2 + 1 space-times Galilean Lie algebra on the polynomial ring in three variables, where actions of the Galilean Lie algebra are given by derivations with coefficients of degree at most one. In particular, all such representations of the Galilean Lie algebra are explicitly constructed and classified by one parameter. In a more general setting we show that, with respect to a nonzero abelian ideal of a finite-dimensional Lie algebra, there is at most one such representation up to graded-equivalence.","PeriodicalId":12305,"journal":{"name":"Filomat","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135594176","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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