Demonstratio Mathematica最新文献

On the p-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity 关于有电磁场的 p 分数薛定谔-基尔霍夫方程和哈代-利特尔伍德-索博廖夫非线性

IF 2 3区数学

Demonstratio Mathematica Pub Date : 2024-01-01 DOI: 10.1515/dema-2023-0124

Min Zhao, Yueqiang Song, D. D. Repovš

{"title":"On the p-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity","authors":"Min Zhao, Yueqiang Song, D. D. Repovš","doi":"10.1515/dema-2023-0124","DOIUrl":"https://doi.org/10.1515/dema-2023-0124","url":null,"abstract":"Abstract In this article, we deal with the following p p -fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity: M ( [ u ] s , A p ) ( − Δ ) p , A s u + V ( x ) ∣ u ∣ p − 2 u = λ ∫ R N ∣ u ∣ p μ , s * ∣ x − y ∣ μ d y ∣ u ∣ p μ , s * − 2 u + k ∣ u ∣ q − 2 u , x ∈ R N , M({left[u]}_{s,A}^{p}){left(-Delta )}_{p,A}^{s}u+Vleft(x){| u| }^{p-2}u=lambda left(mathop{int }limits_{{{mathbb{R}}}^{N}}frac{{| u| }^{{p}_{mu ,s}^{* }}}{{| x-y| }^{mu }}{rm{d}}yright){| u| }^{{p}_{mu ,s}^{* }-2}u+k{| u| }^{q-2}u,hspace{1em}xin {{mathbb{R}}}^{N}, where 0 < s < 1 < p 0lt slt 1lt p , p s < N pslt N , p < q < 2 p s , μ * plt qlt 2{p}_{s,mu }^{* } , 0 < μ < N 0lt mu lt N , λ lambda , and k k are some positive parameters, p s , μ * = p N − p μ 2 N − p s {p}_{s,mu }^{* }=frac{pN-pfrac{mu }{2}}{N-ps} is the critical exponent with respect to the Hardy-Littlewood-Sobolev inequality, and functions V V and M M satisfy the suitable conditions. By proving the compactness results using the fractional version of concentration compactness principle, we establish the existence of nontrivial solutions to this problem.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":"77 16","pages":""},"PeriodicalIF":2.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139458306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A study on a type of degenerate poly-Dedekind sums 关于一种退化的多戴金和的研究

IF 2 3区数学

Demonstratio Mathematica Pub Date : 2024-01-01 DOI: 10.1515/dema-2023-0121

Yuankui Ma, Lingling Luo, Taekyun Kim, Hongze Li, Wenpeng Zhang

引用次数: 0

Higher-order circular intuitionistic fuzzy time series forecasting methodology: Application of stock change index 高阶循环直觉模糊时间序列预测方法：股票变动指数的应用

IF 2 3区数学

Demonstratio Mathematica Pub Date : 2024-01-01 DOI: 10.1515/dema-2023-0115

Shahzaib Ashraf, Muhammad Sohail, Muhammad Shakir Chohan, Siriluk Paokanta, Choonkil Park

{"title":"Higher-order circular intuitionistic fuzzy time series forecasting methodology: Application of stock change index","authors":"Shahzaib Ashraf, Muhammad Sohail, Muhammad Shakir Chohan, Siriluk Paokanta, Choonkil Park","doi":"10.1515/dema-2023-0115","DOIUrl":"https://doi.org/10.1515/dema-2023-0115","url":null,"abstract":"Abstract This article presents a higher-order circular intuitionistic fuzzy time series forecasting method for predicting the stock change index, which is shown to be an improvement over traditional time series forecasting methods. The method is based on the principles of circular intuitionistic fuzzy set theory. It uses both positive and negative membership values and a circular radius to handle uncertainty and imprecision in the data. The circularity of the time series is also taken into consideration, leading to more accurate and robust forecasts. The higher-order forecasting capability of this method provides more comprehensive predictions compared to previous methods. One of the key challenges we face when using the amount featured as a case study in our article to project the future value of ratings is the influence of the stock market index. Through rigorous experiments and comparison with traditional time series forecasting methods, the results of the study demonstrate that the proposed higher-order circular intuitionistic fuzzy time series forecasting method is a superior approach for predicting the stock change index.","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":"103 22","pages":""},"PeriodicalIF":2.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139454073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Best proximity points in ℱ-metric spaces with applications 在具有应用的<s:1>度量空间中的最佳接近点

IF 2 3区数学

Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0191

Durdana Lateef

引用次数: 2

New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization 广义适形分数算子的Hermite-Hadamard-Jensen-Mercer型新连续不等式

IF 2 3区数学

Demonstratio Mathematica Pub Date : 2023-01-01 DOI: 10.1515/dema-2022-0225

T. Saeed, M. Khan, Shah Faisal, H. Alsulami, M. Alhodaly

引用次数: 0

Analysis of Cauchy problem with fractal-fractional differential operators 用分形分数微分算子分析Cauchy问题