Pawan Prajapati, Gyanvendra Pratap Singh, Santu Dey, Anand Kumar Mishra
{"title":"Applications of (mathcal {Q})curvature tensor and certain types of ricci-bourguignon soliton on different spacetimes","authors":"Pawan Prajapati, Gyanvendra Pratap Singh, Santu Dey, Anand Kumar Mishra","doi":"10.1007/s11565-026-00700-w","DOIUrl":"10.1007/s11565-026-00700-w","url":null,"abstract":"<div><p>The main objective of this article is to study <span>(mathcal {Q})</span>-flat perfect fluid spacetime. We examine a spacetime with a vanishing <span>(mathcal {Q})</span>-curvature tensor and investigate some of its geometric properties. We also explored fluid spacetime characterized by a divergence-free <span>(mathcal {Q})</span>-curvature tensor. Further, we examine dust fluid spacetime with a vanishing <span>(mathcal {Q})</span>-curvature tensor. We have also examined spacetime filled with a perfect fluid under a purely electromagnetic distribution. Finally, we have characterized the <i>h</i>-almost Ricci-Bourguignon soliton on super quasi-Einstein spacetime.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172676","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}
Sangamesh, K. R. Raghunatha, Ali J. Chamkha, S. Malashri
{"title":"Modeling of MHD triple-diffusive flow over a stretching/shrinking sheet embedded in a porous medium","authors":"Sangamesh, K. R. Raghunatha, Ali J. Chamkha, S. Malashri","doi":"10.1007/s11565-026-00693-6","DOIUrl":"10.1007/s11565-026-00693-6","url":null,"abstract":"<div><p>This study examines the dual-solution behavior of magnetohydrodynamic fluid flow induced by stretching and shrinking permeable surfaces embedded in a porous medium, with triple-diffusion effects. The governing equations, derived from the principles of momentum, energy, and species conservation, are transformed into a system of nonlinear ordinary differential equations using appropriate similarity transformations. Analytical solutions are obtained for the velocity field, while temperature and concentration distributions are expressed as Frobenius power series. The influence of key physical parameters including the magnetic parameter, Darcy parameter, suction/injection parameter, and shrinking/stretching parameter on the dimensionless velocity, temperature, and concentration profiles is investigated in detail. The effects of these parameters on engineering quantities such as the skin-friction coefficient, local Nusselt number, and Sherwood numbers are also examined. The results reveal dual solutions within a limited range of the shrinking parameter, due to the competition between the surface’s shrinking motion and viscous diffusion in the boundary layer. Stability analysis indicates that the first solution branch is stable and physically realizable, whereas the second branch is unstable. It is further observed that suction enhances boundary layer stability and enlarges the solution domain, while injection reduces it. Increasing the magnetic and Darcy parameters significantly modifies the momentum, heat, and mass transfer characteristics through the combined effects of Lorentz force and porous medium resistance. The results show excellent agreement with previously published studies, confirming the accuracy and reliability of this analysis. Overall, these findings provide valuable insights into the transport mechanisms of magnetohydrodynamic flows in porous media and may have applications in various engineering processes involving heat and mass transfer over permeable surfaces.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172466","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}
{"title":"Shape preserving properties of extended Jakimovski-Leviatan operators","authors":"Pooja Gupta","doi":"10.1007/s11565-026-00690-9","DOIUrl":"10.1007/s11565-026-00690-9","url":null,"abstract":"<div><p>In this study, we expand the sequence <span>(P_p)</span> of Jakimovski-Leviatan operators by incorporating a specific function <span>(psi (z))</span>. We evaluate the weighted convergence by introducing quantitative theorems utilizing a suitable modulus of continuity. Moreover, we investigate shape-preserving characteristics, including <span>(psi )</span>-convexity, and monotonicity of this sequence. Additionally, we compare these operators with <span>(P_p)</span> through numerical illustrations and graphical analysis.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-026-00690-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On 2-color partitions with one color restricted to multiples of (5^k)","authors":"C. Shivashankar, B. Hemanthkumar, D. S. Gireesh","doi":"10.1007/s11565-026-00699-0","DOIUrl":"10.1007/s11565-026-00699-0","url":null,"abstract":"<div><p>In this work, we investigate the arithmetic properties of <span>(p_{1,5^k}(n))</span>, which counts 2-color partitions of <i>n</i> where one of the colors appears only in parts that are multiples of <span>(5^k)</span>. By constructing generating functions for <span>(p_{1,5^k}(n))</span> across specific arithmetic progressions, we establish a set of Ramanujan-type congruences modulo powers of 5. The congruences previously derived by Wang [7] and Ranganath [6] can be seen as specific instances of the results presented in this work.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148172467","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}
{"title":"Developments of a generalized Skew (A, m)-symmetric operators","authors":"Imene Djaber, Messaoud Guesba","doi":"10.1007/s11565-026-00686-5","DOIUrl":"10.1007/s11565-026-00686-5","url":null,"abstract":"<div><p>In this paper, we introduce a new class of operators called <i>k</i>-quasi skew <span>(left( A,mright) )</span>-symmetric operators, which extends the class of skew <span>(left( A,mright) )</span>-symmetric operators studied by R. Rabaoui (Filomat, 36 (10) (2022), 3261–3278). A matrix characterization, stability under nilpotent perturbations, and several spectral properties are established. The notion is also extended to multivariable operator tuples.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148141710","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}
{"title":"Frobenius endomorphisms and minimal polynomials in supersingular isogeny rings","authors":"Mohammed El Baraka, Siham Ezzouak","doi":"10.1007/s11565-026-00697-2","DOIUrl":"10.1007/s11565-026-00697-2","url":null,"abstract":"<div><p>We study the position of the <i>p</i>-power Frobenius endomorphism <span>(pi _E)</span> of a supersingular elliptic curve <span>(E/mathbb {F}_{p^2})</span> inside its quaternionic endomorphism algebra <span>({{,textrm{End},}}^0(E)simeq B_{p,infty })</span>. Using the Weil polynomial <span>(T^2 - tT + p^2)</span> and Deuring’s description of <span>({{,textrm{End},}}^0(E))</span>, we show that the Frobenius order <span>(R_E = mathbb {Z}[pi _E])</span> is an imaginary quadratic order of discriminant <span>(t^2 - 4p^2)</span> whenever <span>(t^2ne 4p^2)</span>, and we characterise its embedding into a maximal order. In particular, outside the degenerate cases <span>(t=pm 2p)</span>, the minimal polynomial of <span>(pi _E)</span> in <span>({{,textrm{End},}}^0(E))</span> coincides with the Weil polynomial and no non-trivial linear relation holds in <span>(B_{p,infty })</span>. We briefly discuss how this description of <span>(R_E)</span> interacts with the structure of supersingular <span>(ell )</span>-isogeny graphs and with arithmetic questions arising in isogeny-based constructions.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148141712","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}
{"title":"Non-Coercive Elliptic Inclusion Problems with Dirichlet-Type Boundary Condition","authors":"Morad Ouboufettal, Youssef Akdim","doi":"10.1007/s11565-026-00695-4","DOIUrl":"10.1007/s11565-026-00695-4","url":null,"abstract":"<div><p>In the present paper, we prove the existence and regularity of solutions to a class of non-coercive differential inclusion problem with Dirichlet-type boundary conditions, the main tool used here is the regularization approach combined with the variational method and the theory of Sobolev spaces.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148141711","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}
{"title":"A class of operators related to skew [m, C]-symmetric operators","authors":"Imene Djaber, Messaoud Guesba","doi":"10.1007/s11565-026-00682-9","DOIUrl":"10.1007/s11565-026-00682-9","url":null,"abstract":"<div><p>In this paper, we introduce the class of <i>n</i>-quasi skew [<i>m</i>, <i>C</i>]-symmetric operator on a Hilbert space which is a generalization of skew [<i>m</i>, <i>C</i>] -symmetric operators presented by M. Chō, B. Načevska-Nastovska, and J. Tomiyama. [On skew [<i>m</i>, <i>C</i>]-symmetric operators. Adv. Oper.Theory 2(4), 468–474 (2017)]. An operator <i>T</i> <span>(in )</span> <span>({mathscr {B}}({mathscr {H}}))</span> is said to be <i>n</i>-quasi skew [<i>m</i>, <i>C</i>]-symmetric if </p><div><div><span>$$begin{aligned} T^{*n}left( underset{j=0}{overset{m}{sum }}left( {begin{array}{c}m jend{array}}right) CT^{m-j}CT^{j}right) T^{n}=0 end{aligned}$$</span></div></div><p>for some positive integers n and m. Some basic structural properties of this class are established with the help of operator matrix representation. In particular, we study the perturbation of an <i>n</i>-quasi skew [<i>m</i>, <i>C</i>]-symmetric operator with a nilpotent op- erator. Moreover, if <i>T</i> and <i>S</i> are doubly commuting such that <i>T</i> is <span>(n_{1})</span>-quasi skew [<i>m</i>, <i>C</i>]-symmetric symmetric and <i>S</i> is <span>(n_{2})</span>-quasi-<span>(left[ k,Cright] )</span>-symmetric operator, then <i>TS</i> is an <span>(n_{3}=)</span> max<span>(left{ n_{1},n_{2}right} )</span>-quasi skew <span>(left[ m+k-1,C right] )</span>-symmetric operator under suitable conditions.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147937878","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}
Ayub Samadi, Mohammad Esmael Samei, Jessada Tariboon
{"title":"Dynamical sequential coupled FDEs mixed Caputo and Erdélyi-Kober operators via non-separated conditions","authors":"Ayub Samadi, Mohammad Esmael Samei, Jessada Tariboon","doi":"10.1007/s11565-026-00680-x","DOIUrl":"10.1007/s11565-026-00680-x","url":null,"abstract":"<div><p>In this current research, we examine a sequential coupled system of fractional differential equations, involving mixed Caputo and Erdélyi-Kober fractional derivatives, with nonlocal non-separated boundary conditions. In relation to the existence and the uniqueness solutions of the proposed system, new obtained results are established based on the contraction mapping principle of Banach, fixed point theorems of Krasnosel’skiĭ and Leray-Schauder alternative. In general, numerical applications are constructed to demonstrate the obtained theoretical achievements.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147937928","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}
{"title":"Refined numerical radius estimates and Euclidean operator radius","authors":"Pintu Bhunia, Rukaya Majeed","doi":"10.1007/s11565-026-00691-8","DOIUrl":"10.1007/s11565-026-00691-8","url":null,"abstract":"<div><p>We obtain new lower and upper bounds for the numerical radius of a bounded linear operator <i>A</i> on a complex Hilbert space, which refine the existing ones. In particular, if <i>w</i>(<i>A</i>) and <span>(Vert AVert )</span> denote the numerical radius and operator norm of <i>A</i>, respectively, then we show that </p><div><div><span>$$begin{aligned} nu (A) + frac{1}{4} left| |A|^2+|A^*|^2right|le & w^2(A) le frac{1}{2} wleft( frac{|A|+|A^*|}{2}A right) & + frac{1}{4} left| |A|^2+ left( frac{|A|+|A^*|}{2}right) ^2 right| , end{aligned}$$</span></div></div><p>where <span>(nu (A)ge 0)</span> is a real number involving the operator norm of the Cartesian decomposition of <i>A</i>. We also develop several new numerical radius inequalities for the products and sums of operators via Euclidean operator radius of 2-tuples of operators. In addition, we deduce equality characterizations for the inequalities. As an application, we obtain numerical radius inequalities for the commutators of operators, which improves the Fong and Holbrook’s inequality <span>(w(ABpm BA) le 2sqrt{2} w(A) Vert BVert )</span> [Canadian J. Math. 1983].</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147829835","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}