Pub Date : 2023-08-01DOI: 10.31838/rna/2023.06.01.013
The goal of this study is to build Lupaş type Bernstein operators (rational) on tetrahedrons with all straight edges and three curved edges determined by specific functions. Interpolation attributes, approximation accuracy (degree of exactness, precision set), and the remainders of the approximation formula of Lupaş type Bernstein operators are assessed using Peano’s theorem and modulus of con - tinuity
{"title":"Interpolation by Lupaş type operators on Tetrahedrons","authors":"","doi":"10.31838/rna/2023.06.01.013","DOIUrl":"https://doi.org/10.31838/rna/2023.06.01.013","url":null,"abstract":"The goal of this study is to build Lupaş type Bernstein operators (rational) on tetrahedrons with all straight edges and three curved edges determined by specific functions. Interpolation attributes, approximation accuracy (degree of exactness, precision set), and the remainders of the approximation formula of Lupaş type Bernstein operators are assessed using Peano’s theorem and modulus of con - tinuity","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41655518","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}
Pub Date : 2023-06-01DOI: 10.31838/rna/2023.06.01.003
This article deals with a metric space endowed with a directed graph. In order to obtain common best proximity point results, we introduce a concept of Geraghty’s type contraction satisfying certain properties on the graph. An example and some consequences are also provided
{"title":"Common best proximity points of some graph-theoretical notions of dominating pairs","authors":"","doi":"10.31838/rna/2023.06.01.003","DOIUrl":"https://doi.org/10.31838/rna/2023.06.01.003","url":null,"abstract":"This article deals with a metric space endowed with a directed graph. In order to obtain common best proximity point results, we introduce a concept of Geraghty’s type contraction satisfying certain properties on the graph. An example and some consequences are also provided","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45723188","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}
Pub Date : 2023-06-01DOI: 10.31838/rna/2023.06.01.011
{"title":"Behavioral finance research of the Tehran Stock Exchange by mathematical round numbers in the Tehran Stock Exchange’s overall index","authors":"","doi":"10.31838/rna/2023.06.01.011","DOIUrl":"https://doi.org/10.31838/rna/2023.06.01.011","url":null,"abstract":"","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48647648","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}
Pub Date : 2023-06-01DOI: 10.31838/rna/2023.06.01.004
Fractional order systems play a vital role in the study of the abnormal behavior of dynamic systems in physics, biology, viscoelasticity, and in the study of population dynamics. The thing that caught our attention thinking about using the order of the fractional derivatives as a function
{"title":"Some new existence results on the hybrid fractional differential equation with variable order derivative","authors":"","doi":"10.31838/rna/2023.06.01.004","DOIUrl":"https://doi.org/10.31838/rna/2023.06.01.004","url":null,"abstract":"Fractional order systems play a vital role in the study of the abnormal behavior of dynamic systems in physics, biology, viscoelasticity, and in the study of population dynamics. The thing that caught our attention thinking about using the order of the fractional derivatives as a function","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43942152","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}
Pub Date : 2023-06-01DOI: 10.31838/rna/2023.06.01.010
The objective of the present paper is to study and investigate the geometric properties of Concircular curvature tensor on a Lorentzian Sasakian manifold (in short LS-manifold) endowed with the quarter-symmetric non metric connection. This research is also supported with an example that satisfies the conditions of (cid:31)(cid:30) Concircularly flat and ϒ -Concircularly flat Lorentzian Sasakian manifold endowed with the quarter-symmetric non metric connection.
{"title":"Some geometric properties on Lorentzian Sasakian manifolds","authors":"","doi":"10.31838/rna/2023.06.01.010","DOIUrl":"https://doi.org/10.31838/rna/2023.06.01.010","url":null,"abstract":"The objective of the present paper is to study and investigate the geometric properties of Concircular curvature tensor on a Lorentzian Sasakian manifold (in short LS-manifold) endowed with the quarter-symmetric non metric connection. This research is also supported with an example that satisfies the conditions of (cid:31)(cid:30) Concircularly flat and ϒ -Concircularly flat Lorentzian Sasakian manifold endowed with the quarter-symmetric non metric connection.","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44268684","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}
Pub Date : 2023-06-01DOI: 10.31838/rna/2023.06.01.012
Mohammed Obayes Kadhim, Liqaa Z. Hummady
,
,
{"title":"Effect of the rotation and inclined magnetic field on peristaltic slip flow of a Bingham fluid with heat transfer in asymmetric channel and porous medium","authors":"Mohammed Obayes Kadhim, Liqaa Z. Hummady","doi":"10.31838/rna/2023.06.01.012","DOIUrl":"https://doi.org/10.31838/rna/2023.06.01.012","url":null,"abstract":",","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45403596","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}
Pub Date : 2023-06-01DOI: 10.31838/rna/2023.06.01.007
In this paper, we have implemented Sinc collocation method (SCM) to solve linear systems of higher order Fredholm Volterra integro–differential equations (FVIDEs) with variable coefficients. This method transforms the system FVIDEs into algebraic equations. Two examples are included to illustrate the accuracy and success of the proposed method. We also point out that, as the number of dimensions increases we get satisfactory results, as explained in the figures and tables
{"title":"Sinc collocation method for solving linear systems of Fredholm Volterra integro–differential equations of high order with variable coefficients","authors":"","doi":"10.31838/rna/2023.06.01.007","DOIUrl":"https://doi.org/10.31838/rna/2023.06.01.007","url":null,"abstract":"In this paper, we have implemented Sinc collocation method (SCM) to solve linear systems of higher order Fredholm Volterra integro–differential equations (FVIDEs) with variable coefficients. This method transforms the system FVIDEs into algebraic equations. Two examples are included to illustrate the accuracy and success of the proposed method. We also point out that, as the number of dimensions increases we get satisfactory results, as explained in the figures and tables","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47989421","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}
Pub Date : 2023-04-04DOI: 10.31838/rna/2023.06.01.008
In this paper, the controllability of fuzzy solutions for a second-order nonlocal impulsive neutral functional differential equation with both nonlocal and impulsive conditions in terms of fuzzy are considered. The sufficient condition of controllability is developed using the Banach fixed point theorem and a fuzzy number whose values are normal, convex, upper semi-continuous, and compactly supported fuzzy sets with the Hausdorff distance between α -cuts at its maximum. The α -cut approaches allow to translate a system of fuzzy differential equations into a system of ordinary differential equations to the endpoints of the states. An example of the application is given at the end to demonstrate the results. These kinds of systems come in use for designing landing systems for planes and spacecraft, as well as car suspension systems.
{"title":"Controllability of second order neutral impulsive fuzzy functional differential equations with Non-Local conditions","authors":"","doi":"10.31838/rna/2023.06.01.008","DOIUrl":"https://doi.org/10.31838/rna/2023.06.01.008","url":null,"abstract":"In this paper, the controllability of fuzzy solutions for a second-order nonlocal impulsive neutral functional differential equation with both nonlocal and impulsive conditions in terms of fuzzy are considered. The sufficient condition of controllability is developed using the Banach fixed point theorem and a fuzzy number whose values are normal, convex, upper semi-continuous, and compactly supported fuzzy sets with the Hausdorff distance between α -cuts at its maximum. The α -cut approaches allow to translate a system of fuzzy differential equations into a system of ordinary differential equations to the endpoints of the states. An example of the application is given at the end to demonstrate the results. These kinds of systems come in use for designing landing systems for planes and spacecraft, as well as car suspension systems.","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46729564","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}
Pub Date : 2023-04-04DOI: 10.31838/rna/2023.06.01.009
Complex-valued regular functions that are normalized in the open unit disk are vastly studied. The current study introduces a new fractional integrodifferential (non-linear) operator. Based on the pre-Schwarzian derivative, certain appropriate stipulations on the parameters included in this constructed operator to be univalent and bounded are investigated and determined
{"title":"The fractional integrodifferential operator and its univalence and boundedness features according to Pre-Schwarzian derivative structure","authors":"","doi":"10.31838/rna/2023.06.01.009","DOIUrl":"https://doi.org/10.31838/rna/2023.06.01.009","url":null,"abstract":"Complex-valued regular functions that are normalized in the open unit disk are vastly studied. The current study introduces a new fractional integrodifferential (non-linear) operator. Based on the pre-Schwarzian derivative, certain appropriate stipulations on the parameters included in this constructed operator to be univalent and bounded are investigated and determined","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48131179","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}
Pub Date : 2023-04-04DOI: 10.31838/rna/2023.06.01.006
Wei Ni, Yuhao Tang, Yezhou Li
By using symbolic computation and complex method, we present abundant exact solutions of a new (3 + 1)-dimensional Boiti-Leon-Manna-Pemp-inelli equation, which contain the periodic solitary wave solutions, the interaction solutions between lump wave and solitary waves and the meromorphic solutions
利用符号计算和复数方法，给出了一个新的(3 + 1)维boit - leon - manna - pempp -inelli方程的大量精确解，该方程包含周期孤立波解、块波与孤立波的相互作用解和亚纯解
{"title":"Some exact solutions of a new (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation","authors":"Wei Ni, Yuhao Tang, Yezhou Li","doi":"10.31838/rna/2023.06.01.006","DOIUrl":"https://doi.org/10.31838/rna/2023.06.01.006","url":null,"abstract":"By using symbolic computation and complex method, we present abundant exact solutions of a new (3 + 1)-dimensional Boiti-Leon-Manna-Pemp-inelli equation, which contain the periodic solitary wave solutions, the interaction solutions between lump wave and solitary waves and the meromorphic solutions","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46085070","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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