发布求助
文献互助 智能选刊 最新文献

Journal of Integral Equations and Applications最新文献

筛选
英文 中文
Existence and continuity results for a nonlinear fractional Langevin equation with a weakly singular source 具有弱奇异源的非线性分数阶朗之万方程的存在性和连续性结果
IF 0.8 4区 数学
Journal of Integral Equations and Applications Pub Date : 2021-10-01 DOI: 10.1216/jie.2021.33.349
Nguyen Minh Dien
{"title":"Existence and continuity results for a nonlinear fractional Langevin equation with a weakly singular source","authors":"Nguyen Minh Dien","doi":"10.1216/jie.2021.33.349","DOIUrl":"https://doi.org/10.1216/jie.2021.33.349","url":null,"abstract":"We study a nonlinear Langevin equation involving a Caputo fractional derivatives of a function with respect to another function in a Banach space. Unlike previous papers, we assume the source function having a singularity. Under a regularity assumption of solution of the problem, we show that the problem can be transformed to a Volterra integral equation with two parameters Mittag-Leffler function in the kernel. Base on the obtained Volterra integral equation, we investigate the existence and uniqueness of the mild solution of the problem. Moreover, we show that the mild solution of the problem is dependent continuously on the inputs: initial data, fractional orders, appropriate function, and friction constant. Meanwhile, a new Henry-Gronwall type inequality is established to prove the main results of the paper. Examples illustrating our results are also presented.","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41521159","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}
引用次数: 11
Well-posedness of Tricomi–Gellerstedt–Keldysh-type fractional elliptic problems Tricomi–Gellerstedt–Keldysh型分数椭圆问题的适定性
IF 0.8 4区 数学
Journal of Integral Equations and Applications Pub Date : 2021-07-07 DOI: 10.1216/jie.2022.34.373
Michael Ruzhansky, B. Torebek, B. Turmetov
{"title":"Well-posedness of Tricomi–Gellerstedt–Keldysh-type fractional elliptic problems","authors":"Michael Ruzhansky, B. Torebek, B. Turmetov","doi":"10.1216/jie.2022.34.373","DOIUrl":"https://doi.org/10.1216/jie.2022.34.373","url":null,"abstract":"In this paper Tricomi-Gellerstedt-Keldysh-type fractional elliptic equations are studied. The results on the well-posedness of fractional elliptic boundary value problems are obtained for general positive operators with discrete spectrum and for Fourier multipliers with positive symbols. As examples, we discuss results in half-cylinder, star-shaped graph, half-space and other domains.","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44586168","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}
引用次数: 2
Existence criteria and solution search by the analytic technique of functional integral equation 泛函积分方程解析技术的存在性判据及解搜索
IF 0.8 4区 数学
Journal of Integral Equations and Applications Pub Date : 2021-06-01 DOI: 10.1216/jie.2021.33.247
Dipankar Saha, M. Sen
{"title":"Existence criteria and solution search by the analytic technique of functional integral equation","authors":"Dipankar Saha, M. Sen","doi":"10.1216/jie.2021.33.247","DOIUrl":"https://doi.org/10.1216/jie.2021.33.247","url":null,"abstract":"Existence of a solution of the functional integral equation in an unbounded interval involving the Riemann–Liouville operator is investigated. Here sufficient conditions in the context of existence and stability are derived by employing hybridized fixed point theory in the Banach algebra setting. Further, an example is presented to showcase the validity of the obtained result. Moreover, the solution of the example in closed form is estimated by the semianalytic technique which is being driven by a modified homotopy perturbation method in conjunction with the Adomian decomposition method.","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45300211","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}
引用次数: 0
A method of solving a nonlinear boundary value problem for the Fredholm integro-differential equation 求解Fredholm积分微分方程非线性边值问题的一种方法
IF 0.8 4区 数学
Journal of Integral Equations and Applications Pub Date : 2021-03-01 DOI: 10.1216/JIE.2021.33.53
D. Dzhumabaev, S. Mynbayeva
{"title":"A method of solving a nonlinear boundary value problem for the\u0000 Fredholm integro-differential equation","authors":"D. Dzhumabaev, S. Mynbayeva","doi":"10.1216/JIE.2021.33.53","DOIUrl":"https://doi.org/10.1216/JIE.2021.33.53","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"33 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41785464","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}
引用次数: 0
Numerical analysis of asymptotically convolution evolutionary integral equations 渐近卷积进化积分方程的数值分析
IF 0.8 4区 数学
Journal of Integral Equations and Applications Pub Date : 2021-03-01 DOI: 10.1216/JIE.2021.33.91
E. Messina, A. Vecchio
{"title":"Numerical analysis of asymptotically convolution evolutionary\u0000 integral equations","authors":"E. Messina, A. Vecchio","doi":"10.1216/JIE.2021.33.91","DOIUrl":"https://doi.org/10.1216/JIE.2021.33.91","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47822008","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}
引用次数: 1
Stability and approximation of almost automorphic solutions on time scales for the stochastic Nicholson's blowflies model 随机Nicholson模型时间尺度上几乎自同构解的稳定性与逼近
IF 0.8 4区 数学
Journal of Integral Equations and Applications Pub Date : 2021-03-01 DOI: 10.1216/JIE.2021.33.31
Soniya Dhama, S Z Abbas, R. Sakthivel
{"title":"Stability and approximation of almost automorphic solutions on\u0000 time scales for the stochastic Nicholson's blowflies model","authors":"Soniya Dhama, S Z Abbas, R. Sakthivel","doi":"10.1216/JIE.2021.33.31","DOIUrl":"https://doi.org/10.1216/JIE.2021.33.31","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46187023","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}
引用次数: 2
Solvability for generalized nonlinear functional integral equations in Banach spaces with applications Banach空间中广义非线性泛函积分方程的可解性及其应用
IF 0.8 4区 数学
Journal of Integral Equations and Applications Pub Date : 2021-03-01 DOI: 10.1216/JIE.2021.33.19
A. Deep, Deepmala, J. Roshan
{"title":"Solvability for generalized nonlinear functional integral\u0000 equations in Banach spaces with applications","authors":"A. Deep, Deepmala, J. Roshan","doi":"10.1216/JIE.2021.33.19","DOIUrl":"https://doi.org/10.1216/JIE.2021.33.19","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42961521","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}
引用次数: 7
On quasinormality of singular integral operators with Cauchy kernel on $L^{2}$ 关于$L^{2}上具有Cauchy核的奇异积分算子的拟正规性$
IF 0.8 4区 数学
Journal of Integral Equations and Applications Pub Date : 2021-03-01 DOI: 10.1216/JIE.2021.33.77
E. Ko, J. Lee
{"title":"On quasinormality of singular integral operators with Cauchy\u0000 kernel on $L^{2}$","authors":"E. Ko, J. Lee","doi":"10.1216/JIE.2021.33.77","DOIUrl":"https://doi.org/10.1216/JIE.2021.33.77","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45925338","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}
引用次数: 0
Local existence and global nonexistence of a solution for a Love equation with infinite memory 具有无限记忆的洛夫方程解的局部存在性和全局不存在性
IF 0.8 4区 数学
Journal of Integral Equations and Applications Pub Date : 2021-03-01 DOI: 10.1216/JIE.2021.33.117
K. Zennir, Tosiya Miyasita, P. Papadopoulos
{"title":"Local existence and global nonexistence of a solution for a\u0000 Love equation with infinite memory","authors":"K. Zennir, Tosiya Miyasita, P. Papadopoulos","doi":"10.1216/JIE.2021.33.117","DOIUrl":"https://doi.org/10.1216/JIE.2021.33.117","url":null,"abstract":"","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46312791","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}
引用次数: 2
Asymptotic expansion of iterated Galerkin solution of Fredholm integral equations of the second kind with Green's kernel 具有格林核的第二类Fredholm积分方程的迭代Galerkin解的渐近展开
IF 0.8 4区 数学
Journal of Integral Equations and Applications Pub Date : 2020-12-01 DOI: 10.1216/jie.2020.32.495
Gobinda Rakshit, Akshay S. Rane
{"title":"Asymptotic expansion of iterated Galerkin solution of Fredholm integral equations of the second kind with Green's kernel","authors":"Gobinda Rakshit, Akshay S. Rane","doi":"10.1216/jie.2020.32.495","DOIUrl":"https://doi.org/10.1216/jie.2020.32.495","url":null,"abstract":"We consider a Fredholm integral equation of the second kind with kernel of the type of Green’s function. Iterated Galerkin method is applied to such an integral equation. For r≥1, a space of piecewise polynomials of degree ≤r−1 with respect to a uniform partition is chosen to be the approximating space. We obtain an asymptotic expansion for the iterated Galerkin solution at the partition points. Richardson extrapolation is used to increase the order of convergence. A numerical example is considered to illustrate our theoretical results.","PeriodicalId":50176,"journal":{"name":"Journal of Integral Equations and Applications","volume":"32 1","pages":"495-507"},"PeriodicalIF":0.8,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49196747","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}
引用次数: 2
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信