Mehraj Ahmad Lone, Idrees Fayaz Harry, Mohamd Saleem Lone
{"title":"Pseudo-umbilical submanifolds of locally product Riemannian manifolds","authors":"Mehraj Ahmad Lone, Idrees Fayaz Harry, Mohamd Saleem Lone","doi":"10.1007/s11565-026-00717-1","DOIUrl":"10.1007/s11565-026-00717-1","url":null,"abstract":"<div><p>The goal of this paper is to investigate pseudo-umbilical submanifolds of locally product Riemannian manifolds. Considering the projections on submanifold, we examine different identities under which pseudo-umbilical submanifolds of locally product Riemannian manifold is umbilical, <i>F</i>-invariant and F-anti-invariant, respectively.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614704","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":"Memory-induced nonlinear dynamics in a fractional human–mosquito malaria model with data-driven insights","authors":"Aastha Ramoliya, Avani Solanki, Kunjan Shah","doi":"10.1007/s11565-026-00729-x","DOIUrl":"10.1007/s11565-026-00729-x","url":null,"abstract":"<div><p>This study investigates the influence of non-local memory effects on the nonlinear dynamics of malaria transmission using a fractional-order human mosquito model formulated in the Atangana–Baleanu–Caputo (ABC) sense. The model incorporates a non-singular kernel to capture hereditary characteristics inherent in epidemiological processes, with the fractional order acting as a control parameter governing system dynamics. Analytical results establish positivity, boundedness, and the existence of unique solutions, while stability conditions for disease-free and endemic equilibria are derived. Although the classical threshold structure governed by the basic reproduction number is preserved, the inclusion of memory effects produces significant qualitative changes in transient behavior. Specifically, decreasing the fractional order delays epidemic peaks, reduces infection intensity, and yields smoother convergence toward equilibrium, indicating a memory-induced modulation of nonlinear dynamics. Model parameters are calibrated using malaria incidence data from <span>(2000--2023)</span>, and numerical simulations confirm the robustness of these effects. The findings demonstrate that fractional dynamics fundamentally reshape transient epidemic evolution, providing new insight into memory-driven processes in complex biological systems and nonlinear epidemiological modeling.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614541","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 study on a chaotic financial system with fractional-order dynamics and control","authors":"Lovely Borah, Kaushik Dehingia, Mohammed Almakki, Hemanta Kumar Sarmah, Kamyar Hosseini","doi":"10.1007/s11565-026-00725-1","DOIUrl":"10.1007/s11565-026-00725-1","url":null,"abstract":"<div><p>Financial systems often exhibit complex, nonlinear behavior influenced by multiple interrelated economic factors. In this paper, a four-dimensional financial model is developed, incorporating the money supply as a new factor alongside interest rate, investment demand, and the price index. The model is initially formulated in integer order and later extended to fractional order to capture the memory effects characteristic of real-world financial processes. A comprehensive dynamic analysis is performed to investigate equilibrium points, stability conditions, and the impact of varying monetary injection efficiency. The effect of fractional order variation on system dynamics is also examined to understand its role in stability and complexity. To address instability, a feedback control strategy is proposed within the fractional framework to regulate the system’s behavior. Numerical simulations are used to validate the theoretical approach and demonstrate the potential utility of the control mechanism in maintaining financial system stability.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613889","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}
Ali H. Alkhaldi, Kamran Khan, Pooja Bansal, Akram Ali
{"title":"On locally conformally flat almost gradient Ricci solitons","authors":"Ali H. Alkhaldi, Kamran Khan, Pooja Bansal, Akram Ali","doi":"10.1007/s11565-026-00722-4","DOIUrl":"10.1007/s11565-026-00722-4","url":null,"abstract":"<div><p>In this paper, we study locally conformally flat almost gradient Ricci solitons. By combining the almost Ricci soliton equation with the vanishing of the Weyl conformal curvature tensor, we prove that every complete connected locally conformally flat almost gradient Ricci soliton is locally isometric to a warped product of a type <span>((t_1, t_2)times _{xi }mathfrak {D}^{m-1})</span> of a real interval <span>((t_1, t_2))</span> and a space form <span>(mathfrak {D}^{m-1})</span> of constant sectional curvature. The proof relies on geometric properties of the potential function, particularly the fact that its gradient is an eigenvector of both the Ricci tensor and the Hessian operator. Our result extends several rigidity and classification theorems for locally conformally flat gradient Ricci solitons to the broader framework of almost Ricci solitons.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613896","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":"Entire solutions of the second-order partial differential–difference trinomial functional equations in (mathbb {C}^2)","authors":"Tania Biswas, Sayantan Maity","doi":"10.1007/s11565-026-00724-2","DOIUrl":"10.1007/s11565-026-00724-2","url":null,"abstract":"<div><p>This paper explores the existence and the forms of finite order transcendental entire solutions of several quadratic trinomial second order partial differential–difference equations with constant coefficients. We also investigate the forms of solutions of certain quadratic trinomial partial differential equations. A series of examples have been provided to justify the existence and the forms of transcendental entire solution of such equations. Also, the last section of the paper is for a relevant question for future research.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148466547","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}
G Sudhaamsh Mohan Reddy, Kastriot Zoto, Stojan Radenović
{"title":"Coincidence point results in extended rectangular (S_b)-suprametric spaces with applications","authors":"G Sudhaamsh Mohan Reddy, Kastriot Zoto, Stojan Radenović","doi":"10.1007/s11565-026-00721-5","DOIUrl":"10.1007/s11565-026-00721-5","url":null,"abstract":"<div><p>In this article, we introduce the notion of an extended rectangular <span>(S_b)</span>-suprametric space, a unified framework that simultaneously generalises extended rectangular <i>b</i>-metric spaces, <span>(S_b)</span>-metric spaces, and suprametric spaces. By endowing this structure with an arbitrary binary relation and employing simulation functions together with auxiliary comparison functions, we establish new coincidence point and common fixed point theorems for a pair of nonlinear mappings satisfying a hybrid contractive inequality. Our results absorb, refine and extend a substantial number of known fixed point principles. Several non-trivial examples are provided to demonstrate the sharpness of the hypotheses. As applications, we study the existence of solutions for a periodic boundary value problem of ordinary differential equations, for a Volterra–Fredholm integral equation, and for a system of nonlinear matrix equations arising in control theory.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148466496","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":"Significance of volumetric heating and convective boundary conditions on dusty ferrofluid convection in saturated porous media","authors":"R. Suprabha, C. R. Mahesha, C. E. Nanjundappa","doi":"10.1007/s11565-026-00723-3","DOIUrl":"10.1007/s11565-026-00723-3","url":null,"abstract":"<div><p>In the present study, a combined theoretical and numerical investigation is carried out to examine the effect of dust particles on penetrative convection in ferromagnetic fluids with volumetric heating in a saturated porous medium. The porous layer is bounded by surfaces that may be either rigid or stress-free. The lower boundary is assumed to be thermally insulating, while the upper boundary satisfies a Robin-type thermal condition. The resulting eigenvalue problem is solved numerically using the Galerkin technique based on the weighted residual method (WRM), with either the gravity thermal Rayleigh number or the magnetic Rayleigh number taken as the eigenvalue parameter. The stability of the system is strongly influenced by internal heating in the porous layer. An increase in the Darcy number, heat source strength, nonlinearity of magnetization, dust particle parameter, and magnetic number accelerates the onset of thermomagnetic convection, whereas an increase in the Biot number, concentration parameter, and viscosity ratio delays its onset. The present results recover previously reported findings as special cases. These findings enhance understanding of thermal, magnetic, and particle interactions in ferrofluid-saturated porous media, with applications in magnetic cooling, energy systems, geophysical flows, and heat transfer.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465674","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":"Refinements of upper bounds for the norm and numerical radius for the sum of operators","authors":"Reza Rahimi, Rahmatollah Lashkaripour, Mojtaba Bakherad","doi":"10.1007/s11565-026-00718-0","DOIUrl":"10.1007/s11565-026-00718-0","url":null,"abstract":"<div><p>In this paper, we establish several new inequalities for the norm and numerical radius of the sum of bounded linear operators. First, we explore the norm and numerical radius of operator sums in the context of the Moore-Penrose inverse. Second, we derive new upper bounds for the norm of the operator sum by employing an extension of the Schwarz inequality. Finally, we present a refinement of the Buzano inequality to obtain improved upper bounds for the norm and numerical radius of the sum of bounded linear operator.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148465073","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}
Bhagwan Kumar, Ashok Kumar Sah, Shivani Khare, R. K. Gangele
{"title":"Impulsive eco-epidemic prey refuge model with integrated pest management strategies","authors":"Bhagwan Kumar, Ashok Kumar Sah, Shivani Khare, R. K. Gangele","doi":"10.1007/s11565-026-00715-3","DOIUrl":"10.1007/s11565-026-00715-3","url":null,"abstract":"<div><p>This study addresses the critical problem of pest infestations, which significantly impacts Indian agriculture and ecology, leading to substantial yearly expenses on pest control. We investigated Integrated Pest Management (IPM), a comprehensive strategy that combines various pest control techniques to decrease excessive pesticide usage and reduce environmental damage. Our research presents an eco-epidemic stage-structured model that incorporates prey refuge effects and impulsive control strategies. We propose a cost-effective solution that combines chemical pesticides, microbial control, and natural predators to protect crop yields. The pest population is divided into juvenile and mature stages, with adult pests further classified as susceptible or infected. Susceptible mature pests are considered the primary threat to crop production. Our analysis demonstrates the uniform ultimate boundedness of all system solutions. The study’s main findings focus on two key aspects. First, we established the conditions necessary for local and global asymptotic stability of a periodic solution involving juveniles and susceptible pests. This was achieved using Floquet’s theorem for impulsive differential equations, small-amplitude perturbation techniques, and the comparison theorem. Second, we determined the essential conditions for system permanence. Our results indicate that when the threshold condition is below 1, juvenile and susceptible pest populations face extinction. However, when the threshold condition exceeds 1, pests coexist with their natural enemies at a minimal level. These findings offer valuable theoretical insights into effective pest management, which we validated through numerical simulations.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380218","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":"Purely W-extending modules","authors":"Muna Abbas Ahmed","doi":"10.1007/s11565-026-00709-1","DOIUrl":"10.1007/s11565-026-00709-1","url":null,"abstract":"<p>The main purpose of this work is to offer an extension of the purely extending module by using the notions of the pure submodule and the weak essential submodule. This extension is named a purely <i>W</i>-extending module. Actually, purely extending module locates between extending and purely <i>W</i>-extending modules, the author verified by example that the purely <i>W</i>-extending is a proper extension of purely extending module. Several results that satisfied in extending modules are extended to this new kind of modules, for instance this work studied when the submodule of purely <i>W</i>-extending is purely <i>W</i>-extending, and discussed the direct sum of this kind of modules. In addition, another characterization of purely <i>W</i>-extending module was considered. Besides that, proper subclasses of the purely <i>W</i>-extending were investigated as well as purely extending such as <i>Puw</i>-semisimple and rationally extending modules. Moreover, the relationships of purely <i>W</i>-extending with some related modules were provided for instance, <i>W</i>-extending, semi-extending, purely rationally extending, monoform, almost monoform and purely monoform modules. Simply put, the location of <i>Puw</i>-extending with extending, <i>W</i>-extending and purely extending modules can be determined in the Figure below:</p>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148380222","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}