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A study of multi-term time fractional stochastic impulsive differential equations with unbounded delay: existence and optimality 具有无界时滞的多项时间分数阶随机脉冲微分方程：存在性与最优性
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-08-21 DOI: 10.1007/s13540-026-00572-z
Tomás Caraballo,Amadou Diop,Mamadou Abdoul Diop
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引用次数: 0
Existence for a (p, q)-Laplacian problem with singular, critical and discontinuous reaction 一类具有奇异、临界和不连续反应的(p, q)-拉普拉斯问题的存在性
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-08-21 DOI: 10.1007/s13540-026-00574-x
Laura Gambera
{"title":"Existence for a (p, q)-Laplacian problem with singular, critical and discontinuous reaction","authors":"Laura Gambera","doi":"10.1007/s13540-026-00574-x","DOIUrl":"https://doi.org/10.1007/s13540-026-00574-x","url":null,"abstract":"","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"169 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894730","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 Schrödinger equations with singular potentials: existence, uniqueness, and weighted energy estimates 分数Schrödinger方程与奇异势：存在，唯一性，和加权能量估计
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-08-20 DOI: 10.1007/s13540-026-00576-9
Jabar S. Hassan
{"title":"Fractional Schrödinger equations with singular potentials: existence, uniqueness, and weighted energy estimates","authors":"Jabar S. Hassan","doi":"10.1007/s13540-026-00576-9","DOIUrl":"https://doi.org/10.1007/s13540-026-00576-9","url":null,"abstract":"","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"30 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894732","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
Inverse problem for a multi-term time-fractional diffusion equation with the Caputo derivatives 具有Caputo导数的多项时间分数扩散方程的反问题
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-08-20 DOI: 10.1007/s13540-026-00573-y
Ravshan Ashurov,Damir Shamuratov
{"title":"Inverse problem for a multi-term time-fractional diffusion equation with the Caputo derivatives","authors":"Ravshan Ashurov,Damir Shamuratov","doi":"10.1007/s13540-026-00573-y","DOIUrl":"https://doi.org/10.1007/s13540-026-00573-y","url":null,"abstract":"","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"16 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148895951","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 existence and finite-approximate controllability for Hilfer fractional evolution equations Hilfer分数阶演化方程的存在性及有限近似可控性
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-08-19 DOI: 10.1007/s13540-026-00575-w
Mian Zhou,Yong Zhou
{"title":"The existence and finite-approximate controllability for Hilfer fractional evolution equations","authors":"Mian Zhou,Yong Zhou","doi":"10.1007/s13540-026-00575-w","DOIUrl":"https://doi.org/10.1007/s13540-026-00575-w","url":null,"abstract":"","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"19 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894733","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
Sigmoidal approximation of activation switching in the Caputo-Amari neuronal model Caputo-Amari神经元模型中激活开关的s型近似
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-08-12 DOI: 10.1007/s13540-026-00571-0
P. E. Kloeden
{"title":"Sigmoidal approximation of activation switching in the Caputo-Amari neuronal model","authors":"P. E. Kloeden","doi":"10.1007/s13540-026-00571-0","DOIUrl":"https://doi.org/10.1007/s13540-026-00571-0","url":null,"abstract":"","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"28 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148894346","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
Asymptotic behavior of structurally damped coupled wave systems with critical nonlinearity 具有临界非线性的结构阻尼耦合波系统的渐近特性
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-08-10 DOI: 10.1007/s13540-026-00569-8
Daniela P. Demuner,Mirelson M. Freitas,Ginnara M. Souto
{"title":"Asymptotic behavior of structurally damped coupled wave systems with critical nonlinearity","authors":"Daniela P. Demuner,Mirelson M. Freitas,Ginnara M. Souto","doi":"10.1007/s13540-026-00569-8","DOIUrl":"https://doi.org/10.1007/s13540-026-00569-8","url":null,"abstract":"","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"11 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148895878","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
Fujita’s critical exponent for fractional reaction-diffusion systems on $$mathbb {R}^{N}$$ 上分数阶反应扩散系统的Fujita临界指数 $$mathbb {R}^{N}$$
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-08-07 DOI: 10.1007/s13540-026-00570-1
Soon-Yeong Chung
{"title":"Fujita’s critical exponent for fractional reaction-diffusion systems on $$mathbb {R}^{N}$$","authors":"Soon-Yeong Chung","doi":"10.1007/s13540-026-00570-1","DOIUrl":"https://doi.org/10.1007/s13540-026-00570-1","url":null,"abstract":"","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"23 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148895879","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 fractional Duhamel principle for systems of fractional multi-term differential-operator equations 分数阶多项微分算子方程组的分数阶Duhamel原理
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-07-07 DOI: 10.1007/s13540-026-00554-1
Sabir Umarov
{"title":"The fractional Duhamel principle for systems of fractional multi-term differential-operator equations","authors":"Sabir Umarov","doi":"10.1007/s13540-026-00554-1","DOIUrl":"https://doi.org/10.1007/s13540-026-00554-1","url":null,"abstract":"Duhamel’s principle, introduced in the 1830s by Duhamel for the heat equation with a time-dependent source, allows the reduction of the Cauchy problem for an inhomogeneous partial differential equation to the corresponding homogeneous problem. In the fractional-order setting, however, the classical principle is not directly applicable due to the nonlocal-in-time nature of fractional derivatives. Over the past two decades, fractional generalizations of Duhamel’s principle have been developed to address this limitation. In this paper, we establish a fractional analogue of Duhamel’s principle for systems of fractional multi-term differential-operator equations. Our approach provides a systematic framework for reducing inhomogeneous fractional problems to homogeneous ones preserving the core philosophy of Duhamel’s method. Moreover, the proposed formulation recovers the classical Duhamel principle in the limit of integer-order derivatives and reveals subtle phenomena unique to multi-term fractional systems, particularly those arising from memories generated by fractional derivatives of each term.","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"46 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148687803","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
A canonical two-scale Sonine fractional calculus induced by the Tricomi function 由Tricomi函数引起的典型二尺度Sonine分数微积分
IF 3 2区 数学
Fractional Calculus and Applied Analysis Pub Date : 2026-07-07 DOI: 10.1007/s13540-026-00556-z
Ivano Colombaro, Marc Tudela-Pi
{"title":"A canonical two-scale Sonine fractional calculus induced by the Tricomi function","authors":"Ivano Colombaro, Marc Tudela-Pi","doi":"10.1007/s13540-026-00556-z","DOIUrl":"https://doi.org/10.1007/s13540-026-00556-z","url":null,"abstract":"We introduce a Tricomi-type generalized fractional calculus in the Sonine kernel framework. The key result is that the Tricomi branch is a Stieltjes function in the admissible parameter range, so its reciprocal is a complete Bernstein function. This fact induces a Sonine fractional calculus together with the canonical Tricomi integral and the associated Riemann–Liouville-type and Caputo-type derivatives. We also prove that, within the Kummer class, the Tricomi branch is the unique Stieltjes representative, once the natural asymptotic normalization is fixed, and we derive the corresponding Lévy–Khintchine representation, Volterra formulation, and scalar Cauchy problem. A distinctive feature of the resulting operators is the emergence of two independent asymptotic orders.","PeriodicalId":48928,"journal":{"name":"Fractional Calculus and Applied Analysis","volume":"1 1","pages":""},"PeriodicalIF":3.0,"publicationDate":"2026-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148687831","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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