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Annali dell''Universita di Ferrara最新文献

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(G-)Hausdorff Chatterjea mapping and proximal (G-)Hausdorff Chatterjea mapping in (S_b) metric space with its application in second kind nonlinear VIE with discontinuous kernel (G-)Hausdorff Chatterjea映射与近端 (G-)Hausdorff Chatterjea地图 (S_b) 度量空间及其在第二类核不连续非线性VIE中的应用
Annali dell''Universita di Ferrara Pub Date : 2026-05-08 DOI: 10.1007/s11565-026-00677-6
Dhivya P, Selvapriya P
{"title":"(G-)Hausdorff Chatterjea mapping and proximal (G-)Hausdorff Chatterjea mapping in (S_b) metric space with its application in second kind nonlinear VIE with discontinuous kernel","authors":"Dhivya P,&nbsp;Selvapriya P","doi":"10.1007/s11565-026-00677-6","DOIUrl":"10.1007/s11565-026-00677-6","url":null,"abstract":"<div><p>In this paper, we introduce the concepts of G-Hausdorff Chatterjea mapping and proximal G-Hausdorff Chatterjea mapping in <span>(S_b)</span> metric spaces. These notions serve to generalize the existing generalized Chatterjea mappings under certain specific conditions. Furthermore, we provide an application of these results to a nonlinear Volterra integral equation (VIE) of the second kind with a discontinuous kernel.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimates of the K-functional and Jackson-type theorems for the linear canonical fourier-bessel transform 线性正则傅里叶-贝塞尔变换的k泛函定理和jackson型定理的估计
Annali dell''Universita di Ferrara Pub Date : 2026-05-08 DOI: 10.1007/s11565-026-00687-4
M. El Hamma, M. El Bouazizi, H. Benlaajine
{"title":"Estimates of the K-functional and Jackson-type theorems for the linear canonical fourier-bessel transform","authors":"M. El Hamma,&nbsp;M. El Bouazizi,&nbsp;H. Benlaajine","doi":"10.1007/s11565-026-00687-4","DOIUrl":"10.1007/s11565-026-00687-4","url":null,"abstract":"<div><p>In a Hilbert space <span>(textrm{L}^{2}_{alpha }(mathbb {R}^{+}))</span>, with <span>(alpha ge -frac{1}{2})</span>, we study the translation operator associated with the linear canonical Fourier-Bessel transform. Based on this operator, we introduce the notion of a generalized modulus of smoothness in the space <span>(textrm{L}^{2}_{alpha }(mathbb {R}^{+}))</span>. The main result of this paper is the establishment of a new estimate theorem for the <i>K</i>-functional, yielding improved bounds in this framework. Furthermore, we prove analogues of Jackson’s and Bernstein’s inequalities adapted to the setting of the linear canonical Fourier-Bessel transform.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147830068","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Linear canonical space-time transform: convolution theorem and uncertainty principles 线性正则时空变换：卷积定理和测不准原理
Annali dell''Universita di Ferrara Pub Date : 2026-05-07 DOI: 10.1007/s11565-026-00688-3
Mawardi Bahri, Nasrullah Bachtiar, Muhammad Nur, Amran Rahim
{"title":"Linear canonical space-time transform: convolution theorem and uncertainty principles","authors":"Mawardi Bahri,&nbsp;Nasrullah Bachtiar,&nbsp;Muhammad Nur,&nbsp;Amran Rahim","doi":"10.1007/s11565-026-00688-3","DOIUrl":"10.1007/s11565-026-00688-3","url":null,"abstract":"<div><p>We introduce a generalized quaternion Fourier transform termed the linear canonical space-time transform (LCST). The uncertainty principles and convolution theorem are the prominent results that play a significant role in the development of the LCST, both theoretically and in its applications. This study explores the convolution theorem and then establish two uncertainty principles associated with the proposed transformation. In addition, we rigorously derive a new point-wise Heisenberg-type uncertainty inequality for the LCST and special cases of this new Heisenberg principle are also presented.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Qualitative properties of iterative fractional totally nonlinear differential equations 迭代分数阶全非线性微分方程的定性性质
Annali dell''Universita di Ferrara Pub Date : 2026-05-07 DOI: 10.1007/s11565-026-00694-5
Mohammed Messous, Abdelouaheb Ardjouni
{"title":"Qualitative properties of iterative fractional totally nonlinear differential equations","authors":"Mohammed Messous,&nbsp;Abdelouaheb Ardjouni","doi":"10.1007/s11565-026-00694-5","DOIUrl":"10.1007/s11565-026-00694-5","url":null,"abstract":"<div><p>This paper presents a systematic study of mild nonnegative solutions for iterative Caputo fractional totally nonlinear differential equations. First, we transform the differential equation into an integral formulation using the Laplace and inverse Laplace transform techniques. This reformulation enables us to rigorously investigate the fundamental properties of mild nonnegative solutions, including their existence, uniqueness and continuous dependence, as well as their Ulam-type stability. Leveraging the Krasnoselskii, Burton-Krasnoselskii and Banach fixed-point theorems, we establish novel existence and uniqueness results under appropriate conditions. To validate our theoretical findings, we conclude with two concrete examples that prove the applicability of the results.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829408","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Matrix analogue of a general class of q-polynomials and its properties 一类一般q-多项式的矩阵模拟及其性质
Annali dell''Universita di Ferrara Pub Date : 2026-05-07 DOI: 10.1007/s11565-026-00689-2
Dhruvi Patel, Manisha Ubale, Rootvesh Mehta
{"title":"Matrix analogue of a general class of q-polynomials and its properties","authors":"Dhruvi Patel,&nbsp;Manisha Ubale,&nbsp;Rootvesh Mehta","doi":"10.1007/s11565-026-00689-2","DOIUrl":"10.1007/s11565-026-00689-2","url":null,"abstract":"<div><p>The present work introduces a matrix analogue of a general class of <i>q</i>-polynomials <span>({ S_{n}(A,L,m;x|q): Ain mathbb {C}^{rtimes r}, Lin {0}cup mathbb {N}, min mathbb {N}, xin mathbb {R}, 0&lt;q&lt;1 })</span>. For these polynomials certain properties such as the inverse series relation, integral representations and <i>q</i>-difference equation are obtained. The particular cases namely, the <i>q</i>-Brafman matrix polynomials, <i>q</i>-Konhauser matrix polynomials, an extension of <i>q</i>-Laguerre matrix polynomials, <i>q</i>-extended biorthogonal matrix polynomials and extended <i>q</i>-Jacobi matrix polynomials are also illustrated.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal vaccination control in a conformable fractional COVID-19 model: A numerical simulation approach using fractional Runge–Kutta method 基于分数阶龙格-库塔方法的符合分数阶COVID-19模型的最优疫苗接种控制
Annali dell''Universita di Ferrara Pub Date : 2026-05-05 DOI: 10.1007/s11565-026-00692-7
Jaydev Patel, Kunjan Shah, Himanshu Patel
{"title":"Optimal vaccination control in a conformable fractional COVID-19 model: A numerical simulation approach using fractional Runge–Kutta method","authors":"Jaydev Patel,&nbsp;Kunjan Shah,&nbsp;Himanshu Patel","doi":"10.1007/s11565-026-00692-7","DOIUrl":"10.1007/s11565-026-00692-7","url":null,"abstract":"<div><p>Mathematical epidemic models increasingly incorporate fractional calculus to better capture memory effects and heterogeneous transmission dynamics. In this study, we formulate a conformable fractional SEIR model incorporating vaccination as a time-dependent control strategy. Unlike classical integer-order formulations, the conformable derivative introduces temporal memory behavior without losing essential differential properties. Stability analysis of the disease-free equilibrium demonstrates that vaccination intensity significantly contributes to reducing the effective reproduction number. A modified fractional Runge–Kutta numerical method is developed and implemented to approximate solutions with improved stability and accuracy over traditional schemes. Numerical simulations demonstrate how the fractional order and vaccination rate jointly govern epidemic peaks, persistence, and eradication timelines. The results confirm that fractional dynamics and adaptive vaccination policies yield more realistic epidemic trajectories than classical models. The proposed framework provides an efficient tool for assessing public-health vaccination strategies under memory-dependent epidemic evolution.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Energy estimate of a porous thermoelastic system of type III with thermal distributed delay 具有热分布延迟的III型多孔热弹性体系的能量估计
Annali dell''Universita di Ferrara Pub Date : 2026-05-05 DOI: 10.1007/s11565-026-00672-x
Zineb Nid, Abdelfeteh Fareh, Tijani A. Apalara
{"title":"Energy estimate of a porous thermoelastic system of type III with thermal distributed delay","authors":"Zineb Nid,&nbsp;Abdelfeteh Fareh,&nbsp;Tijani A. Apalara","doi":"10.1007/s11565-026-00672-x","DOIUrl":"10.1007/s11565-026-00672-x","url":null,"abstract":"<div><p>This paper focuses on the well-posedness and long-time behavior of the solution of a porous elastic system with type III thermoelasticity, incorporating distributed delay effects in the heat equation. We investigate the cases of equal and non-equal wave speeds. In the first case, we establish an exponential rate of decay provided that the weight of delay is strictly less than the weight of thermal dissipation. In the case of non-equal wave speeds, a polynomial decay rate is obtained.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829307","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On an equation characterizing multi-Jensen-cubic mappings and its stability 描述多重jensen -三次映射的方程及其稳定性
Annali dell''Universita di Ferrara Pub Date : 2026-05-04 DOI: 10.1007/s11565-026-00666-9
Apurba Chutia, Hemen Dutta
{"title":"On an equation characterizing multi-Jensen-cubic mappings and its stability","authors":"Apurba Chutia,&nbsp;Hemen Dutta","doi":"10.1007/s11565-026-00666-9","DOIUrl":"10.1007/s11565-026-00666-9","url":null,"abstract":"<div><p>The paper presents a new form of multi-cubic mappings and establishes that these mappings can be unified into a single equation. Also, a system of functional equations defining multi-Jensen-cubic mappings is unified into a single equation. The generalized Hyers-Ulam stability of multi-Jensen-cubic mappings has been demonstrated by using a fixed-point approach in Banach spaces. Furthermore, several corollaries have been presented corresponding to some well-known stability results on multi-cubic and multi-Jensen-cubic functional equations. In addition, we present an illustrative example for the stability result and a counter example to show that the stability does not hold under certain conditions.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Interpolated arithmetic-geometric matrix inequalities 插值算术几何矩阵不等式
Annali dell''Universita di Ferrara Pub Date : 2026-04-30 DOI: 10.1007/s11565-026-00683-8
Wasim Audeh, Hamid Reza Moradi, Mohammad Sababheh
{"title":"Interpolated arithmetic-geometric matrix inequalities","authors":"Wasim Audeh,&nbsp;Hamid Reza Moradi,&nbsp;Mohammad Sababheh","doi":"10.1007/s11565-026-00683-8","DOIUrl":"10.1007/s11565-026-00683-8","url":null,"abstract":"<div><p>This paper mainly presents upper bounds for the singular values and unitarily invariant norms of the product of two complex matrices. The obtained bounds refine many celebrated results in the literature, such as the celebrated matrix arithmetic-geometric mean inequality and its variants.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147797043","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nearly vacuum static equation on homothetic hyperbolic Kenmotsu manifolds and its applications on spacetimes 齐次双曲Kenmotsu流形上的近真空静态方程及其在时空上的应用
Annali dell''Universita di Ferrara Pub Date : 2026-04-27 DOI: 10.1007/s11565-026-00685-6
Uday Chand De, Tarak Mandal
{"title":"Nearly vacuum static equation on homothetic hyperbolic Kenmotsu manifolds and its applications on spacetimes","authors":"Uday Chand De,&nbsp;Tarak Mandal","doi":"10.1007/s11565-026-00685-6","DOIUrl":"10.1007/s11565-026-00685-6","url":null,"abstract":"<div><p>In the present article, we consider nearly vacuum static equations (NVSEs, in short) on homothetic hyperbolic Kenmotsu manifolds (HHKMs, in short). We prove that if an <span>(eta )</span>-Einstein HHKM of dimension (2m+1) admits a NVSE, then the solution is a constant. We also deduce that if a HHKM of dimension 3 admits a non-trivial solution of NVSE, then the scalar curvature is a constant. We construct an example to test the existence of this result. Finally, we apply NVSE in imperfect fluid GRW spacetimes.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147796637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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