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Fractional Calculus and Applied Analysis最新文献

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Anisotropic variable exponent Sobolev spaces and applications to elliptic equations with critical growth 各向异性变指数Sobolev空间及其在临界增长椭圆方程中的应用
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-10-15 DOI: 10.1007/s13540-026-00591-w
Nabil Chems Eddine,Maria Alessandra Ragusa
{"title":"Anisotropic variable exponent Sobolev spaces and applications to elliptic equations with critical growth","authors":"Nabil Chems Eddine,Maria Alessandra Ragusa","doi":"10.1007/s13540-026-00591-w","DOIUrl":"https://doi.org/10.1007/s13540-026-00591-w","url":null,"abstract":"Abstract We establish critical embeddings for anisotropic Sobolev spaces with variable exponents, resolving, under log-Hölder continuity supplemented by finite Sobolev regularity and a quantitative integrability-gap condition, an open problem raised by Fan. We derive a Poincaré-type inequality at the harmonic-mean critical scale, give compactness criteria when the critical exponent is attained on a nontrivial set, and prove a corresponding concentration–compactness principle. These results are then applied to anisotropic Leray–Lions equations with critical growth. Under a global quantitative superlinearity condition, the problem possesses a nontrivial weak solution for a sufficiently large reaction parameter. Under the additional oddness assumptions, for every prescribed integer m , it possesses at least m distinct pairs of nontrivial weak solutions once the parameter exceeds a sufficient threshold depending on m .","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"2 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149210373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Fractional calculus operators based on Prabhakar’s Le Roy Functions 基于Prabhakar 's Le Roy函数的分数阶微积分算子
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-10-14 DOI: 10.1007/s13540-026-00595-6
İlkay Onbaşı Elidemir,Mehmet Ali Özarslan
{"title":"Fractional calculus operators based on Prabhakar’s Le Roy Functions","authors":"İlkay Onbaşı Elidemir,Mehmet Ali Özarslan","doi":"10.1007/s13540-026-00595-6","DOIUrl":"https://doi.org/10.1007/s13540-026-00595-6","url":null,"abstract":"","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"68 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149208862","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Mittag–Leffler Hyers–Ulam–Rassias stability analysis of stochastic fractional growth models with Langevin noise 含Langevin噪声的随机分数增长模型的Mittag-Leffler - Hyers-Ulam-Rassias稳定性分析
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-10-10 DOI: 10.1007/s13540-026-00586-7
B. K. Bharath,P. Prakash
{"title":"Mittag–Leffler Hyers–Ulam–Rassias stability analysis of stochastic fractional growth models with Langevin noise","authors":"B. K. Bharath,P. Prakash","doi":"10.1007/s13540-026-00586-7","DOIUrl":"https://doi.org/10.1007/s13540-026-00586-7","url":null,"abstract":"","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"41 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149150628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
The univariate multinode Shepard method for the Caputo fractional derivatives: from approximation to the solution of the Bagley–Torvik equation Caputo分数阶导数的单变量多节点Shepard方法：从近似到Bagley-Torvik方程的解
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-10-09 DOI: 10.1007/s13540-026-00594-7
Francesco Dell’Accio,Filomena Di Tommaso,Ilde Ferrara
{"title":"The univariate multinode Shepard method for the Caputo fractional derivatives: from approximation to the solution of the Bagley–Torvik equation","authors":"Francesco Dell’Accio,Filomena Di Tommaso,Ilde Ferrara","doi":"10.1007/s13540-026-00594-7","DOIUrl":"https://doi.org/10.1007/s13540-026-00594-7","url":null,"abstract":"Abstract In this paper, we propose a numerical approach based on the univariate multinode Shepard operator for the approximation of Caputo fractional derivatives. The fractional integral is evaluated through a Gauss–Jacobi quadrature formula, and the resulting approximation is then employed within a collocation scheme for Bagley–Torvik boundary and initial value problems. Approximation and convergence properties are discussed, together with the influence of the conditioning of the associated collocation systems. Numerical experiments involving different node distributions show high accuracy for both polynomial and non-polynomial solutions. The method is also applied to variable-coefficient and nonsmooth Bagley–Torvik problems, and comparisons with previously published numerical methods confirm its competitive accuracy.","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"8 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149150630","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Strong convergence of tamed theta scheme for superlinearly growing McKean–Vlasov NSDDEs driven by fractional Brownian motions 分数阶布朗运动驱动的超线性增长McKean-Vlasov nssddes的驯服格式的强收敛性
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-10-09 DOI: 10.1007/s13540-026-00593-8
Li Tan,Shizhong Hu,Shengrong Wang
{"title":"Strong convergence of tamed theta scheme for superlinearly growing McKean–Vlasov NSDDEs driven by fractional Brownian motions","authors":"Li Tan,Shizhong Hu,Shengrong Wang","doi":"10.1007/s13540-026-00593-8","DOIUrl":"https://doi.org/10.1007/s13540-026-00593-8","url":null,"abstract":"","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"10 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149150631","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Regularity of solutions to the fractional Navier–Stokes equations in logarithmic Q spaces covering $$BM O^{-1}$$ and its fractional counterpart 分数阶Navier-Stokes方程在覆盖$$BM O^{-1}$$及其分数阶对应的对数Q空间中解的正则性
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-10-09 DOI: 10.1007/s13540-026-00598-3
Meimei Shi,Pengtao Li,Zengjian Lou,Zhichun Zhai
{"title":"Regularity of solutions to the fractional Navier–Stokes equations in logarithmic Q spaces covering $$BM O^{-1}$$ and its fractional counterpart","authors":"Meimei Shi,Pengtao Li,Zengjian Lou,Zhichun Zhai","doi":"10.1007/s13540-026-00598-3","DOIUrl":"https://doi.org/10.1007/s13540-026-00598-3","url":null,"abstract":"","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"81 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149150629","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Spectral fractional radial Laplacian with Caputo structure on bounded domains 有界域上具有Caputo结构的谱分数径向拉普拉斯
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-10-08 DOI: 10.1007/s13540-026-00597-4
Margarita Rivero,Juan J. Trujillo
{"title":"Spectral fractional radial Laplacian with Caputo structure on bounded domains","authors":"Margarita Rivero,Juan J. Trujillo","doi":"10.1007/s13540-026-00597-4","DOIUrl":"https://doi.org/10.1007/s13540-026-00597-4","url":null,"abstract":"","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"13 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149150632","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
CE-SFPIKAN: Curriculum-Enhanced Separable Fractional Physics-Informed Kolmogorov–Arnold Network for fractional Cattaneo equations 分数阶Cattaneo方程的Kolmogorov-Arnold网络
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-09-30 DOI: 10.1007/s13540-026-00590-x
HongGuang Sun,Yibin Xu,Mu Li
{"title":"CE-SFPIKAN: Curriculum-Enhanced Separable Fractional Physics-Informed Kolmogorov–Arnold Network for fractional Cattaneo equations","authors":"HongGuang Sun,Yibin Xu,Mu Li","doi":"10.1007/s13540-026-00590-x","DOIUrl":"https://doi.org/10.1007/s13540-026-00590-x","url":null,"abstract":"","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"17 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149090381","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Nonexistence results for a multi-term time-fractional diffusion equation 多项时间分数扩散方程的不存在性结果
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-09-30 DOI: 10.1007/s13540-026-00592-9
Mohamed Jleli,Bessem Samet
{"title":"Nonexistence results for a multi-term time-fractional diffusion equation","authors":"Mohamed Jleli,Bessem Samet","doi":"10.1007/s13540-026-00592-9","DOIUrl":"https://doi.org/10.1007/s13540-026-00592-9","url":null,"abstract":"","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"24 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149090382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Approximate controllability of linear fractional impulsive evolution equations in Hilbert spaces Hilbert空间中线性分数阶脉冲演化方程的近似可控性
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-09-25 DOI: 10.1007/s13540-026-00588-5
Javad Asadzade,Nazim Mahmudov
{"title":"Approximate controllability of linear fractional impulsive evolution equations in Hilbert spaces","authors":"Javad Asadzade,Nazim Mahmudov","doi":"10.1007/s13540-026-00588-5","DOIUrl":"https://doi.org/10.1007/s13540-026-00588-5","url":null,"abstract":"","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"66 3 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149049441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
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