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The continuous dependence of global solutions to Caputo fractional order systems Caputo分数阶系统全局解的连续依赖性
IF 0.8 4区 数学
Journal of Integral Equations and Applications Pub Date : 2021-10-01 DOI: 10.1216/jie.2021.33.371
Cong Wu
{"title":"The continuous dependence of global solutions to Caputo fractional order systems","authors":"Cong Wu","doi":"10.1216/jie.2021.33.371","DOIUrl":"https://doi.org/10.1216/jie.2021.33.371","url":null,"abstract":"Summary: We work out the continuous dependence, on initial values and parameters, of solutions on maximal intervals of existence (or global solutions) to Caputo fractional order systems, benefiting from a very recent continuation result.","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":"49151165","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
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
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