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Analysis of sequential (Phi )-Hilfer fractional partial differential equations 顺序分析(Phi ) -Hilfer分数阶偏微分方程
Annali dell''Universita di Ferrara Pub Date : 2026-08-22 DOI: 10.1007/s11565-026-00733-1
Alireza Hatami
{"title":"Analysis of sequential (Phi )-Hilfer fractional partial differential equations","authors":"Alireza Hatami","doi":"10.1007/s11565-026-00733-1","DOIUrl":"10.1007/s11565-026-00733-1","url":null,"abstract":"<div><p>This paper presents a detailed analytical framework for a class of fractional partial differential equations involving the <span>(Phi )</span>-Hilfer fractional derivative and Barbashin-type structures. By using a <span>(Phi )</span>-Bielecki-type norm on a suitable Banach space, we establish a robust functional framework for modeling systems with memory and hereditary effects. Our formulation encompasses several well-known fractional derivatives, such as the Riemann–Liouville, Caputo, and Hadamard types, as special cases. We rigorously prove the existence and uniqueness of mild solutions using fixed-point theorems. In addition, we examine the generalized Ulam–Hyers–Rassias stability of solutions under perturbations. Illustrative examples and numerical results support the theoretical findings and demonstrate the effectiveness of our approach in analyzing complex dynamical systems influenced by nonlocal and history-dependent processes.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148783236","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
Harmonic separation and the Hexagon Theorem of Pappus 调和分离与Pappus的六边形定理
Annali dell''Universita di Ferrara Pub Date : 2026-08-20 DOI: 10.1007/s11565-026-00665-w
Elena Anne Corie Marchisotto
{"title":"Harmonic separation and the Hexagon Theorem of Pappus","authors":"Elena Anne Corie Marchisotto","doi":"10.1007/s11565-026-00665-w","DOIUrl":"10.1007/s11565-026-00665-w","url":null,"abstract":"<div><p>In a historically neglected 1898 axiomatization of three-dimensional projective geometry, Mario Pieri proved that the Hexagon Theorem of Pappus is equivalent to a statement about the harmonic separation of point-pairs on a line. He made no appeal to continuity, but did rely on a weakened version of the Fundamental Theorem of K. G. C. von Staudt. A few months earlier, Pieri had published an axiomatization of <i>n</i>-dimensional projective geometry that was more widely circulated. There he claimed it is possible to demonstrate the equivalence without invoking the Fundamental Theorem. He did not present the proof and no published evidence has been found to support his claim. This paper validates Pieri's assertion with proofs of the hexagon theorem constructed solely from the postulates of incidence and separation of his earlier paper. One proof adopts strategies that Pieri used for his own published proof. The others adapt methods that A. N. Whitehead and H. F. Baker utilized for their proofs. The proofs presented here fulfill, in spirit, Pieri's 1905 promise to send Oswald Veblen a proof of hexagon theorem with no appeal to continuity or von Staudt’s theorem.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148783171","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
Computing finite Weyl groupoids 计算有限Weyl群
Annali dell''Universita di Ferrara Pub Date : 2026-08-17 DOI: 10.1007/s11565-026-00736-y
I. Angiono, L. Vendramin
{"title":"Computing finite Weyl groupoids","authors":"I. Angiono,&nbsp;L. Vendramin","doi":"10.1007/s11565-026-00736-y","DOIUrl":"10.1007/s11565-026-00736-y","url":null,"abstract":"<div><p>In this survey, we present algorithms to compute generalized root systems of Nichols algebras of diagonal type and of contragredient Lie superalgebras. As a consequence, we obtain an algorithm to compute the Lyndon words in the Kharchenko PBW basis associated to each positive root, along with their corresponding hyperwords. These data are essential for obtaining a minimal presentation of Nichols algebras of diagonal type with a finite root system.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148782486","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
p-Summing weighted holomorphic lipschitz mappings p求和加权全纯lipschitz映射
Annali dell''Universita di Ferrara Pub Date : 2026-08-14 DOI: 10.1007/s11565-026-00739-9
S. Boukhalkhal, A. Bougoutaia, H. Hamdi, A. Belacel
{"title":"p-Summing weighted holomorphic lipschitz mappings","authors":"S. Boukhalkhal,&nbsp;A. Bougoutaia,&nbsp;H. Hamdi,&nbsp;A. Belacel","doi":"10.1007/s11565-026-00739-9","DOIUrl":"10.1007/s11565-026-00739-9","url":null,"abstract":"<div><p>Let <span>(U)</span> be an open subset of a complex Banach space <span>(E)</span>, let <span>(v)</span> be a weight on <span>(U)</span> that separates the points of <span>(mathcal {H}_v(U))</span>, and let <span>(F)</span> be a complex Banach space. We introduce and study the class <span>(Pi _p^{textrm{lip}_v}(U,F))</span> of <span>(p)</span><b>-summing weighted holomorphic Lipschitz mappings</b> from <span>(U)</span> into <span>(F)</span>. We prove that this class, modulo constant functions, forms an injective Banach ideal of weighted holomorphic mappings. Using the Lipschitz-free space <span>(mathcal {F}_v(U))</span> over <span>((U,d_v))</span>, we establish a linearization theorem identifying these mappings with <span>(p)</span>-summing linear operators from <span>(mathcal {F}_v(U))</span> into <span>(F)</span>. Variants of the Pietsch Domination Theorem, Pietsch Factorization Theorem, and Maurey Extrapolation Theorem are presented. Furthermore, we introduce the space of <span>(F)</span>-valued <span>(mathcal {H}_v)</span>-Lipschitz molecules and prove that its dual is isometrically isomorphic to <span>(Pi _p^{textrm{lip}_v}(U,F^*))</span> under a suitable version of the Chevet-Saphar tensor norm.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148752202","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 and spectral analysis of a partial discrete Dirichlet problem 部分离散狄利克雷问题的定性和谱分析
Annali dell''Universita di Ferrara Pub Date : 2026-08-12 DOI: 10.1007/s11565-026-00735-z
Sihem Berrajaa, Mohammed Abderrahim, Mahmoud El Ahmadi, Omar Chakrone
{"title":"Qualitative and spectral analysis of a partial discrete Dirichlet problem","authors":"Sihem Berrajaa,&nbsp;Mohammed Abderrahim,&nbsp;Mahmoud El Ahmadi,&nbsp;Omar Chakrone","doi":"10.1007/s11565-026-00735-z","DOIUrl":"10.1007/s11565-026-00735-z","url":null,"abstract":"<div><p>In this article, we study a partial discrete Dirichlet boundary value problem together with its associated eigenvalue problem. More precisely, in the first part, we identify two eigenvalues <span>(lambda _{1}(m))</span> and <span>(lambda ^{*}(m))</span> of the associated eigenvalue problem and show that there is no eigenvalue between them. In the second part, we determine intervals of the parameter <span>(lambda )</span> ensuring the existence of solutions, and we investigate the sign of these solutions in relation to <span>(lambda _{1}(m))</span> and <span>(lambda ^{*}(m))</span>.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148751672","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
Quaternionic generalization of the Eneström–Kakeya Theorem Eneström-Kakeya定理的四元数推广
Annali dell''Universita di Ferrara Pub Date : 2026-08-08 DOI: 10.1007/s11565-026-00731-3
D. Tripathi
{"title":"Quaternionic generalization of the Eneström–Kakeya Theorem","authors":"D. Tripathi","doi":"10.1007/s11565-026-00731-3","DOIUrl":"10.1007/s11565-026-00731-3","url":null,"abstract":"<div><p>In 2020, Carney et al. proved the quaternionic version of the Eneström-Kakeya Theorem. Numerous generalizations of Eneström–Kakeya Theorem are available in the literature [7, 8]. In this paper, we extend some of these generalizations to the quaternionic context and present several extensive results.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148751017","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
Laguerre theorem for bicomplex polynomials 二复多项式的拉盖尔定理
Annali dell''Universita di Ferrara Pub Date : 2026-08-06 DOI: 10.1007/s11565-026-00727-z
Ovaisa Jan, Idrees Qasim
{"title":"Laguerre theorem for bicomplex polynomials","authors":"Ovaisa Jan,&nbsp;Idrees Qasim","doi":"10.1007/s11565-026-00727-z","DOIUrl":"10.1007/s11565-026-00727-z","url":null,"abstract":"<div><p>In this paper, we extend the classical Laguerre theorem on the zeros of polar derivatives to the setting of bicomplex polynomials. Due to the presence of zero divisors and the idempotent representation of bicomplex numbers, the usual complex arguments do not carry over directly. We introduce a notion of polar derivative for bicomplex polynomials and establish a bicomplex analogue of Laguerre’s theorem. The proof relies on a key lemma that expresses certain identities in terms of hyperbolic norms and idempotent components. As an application, we obtain a result on the location of zeros of the polar derivative relative to the original polynomial. These results lay the groundwork for further investigations in bicomplex function theory.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148750888","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
Topological degree approach to existence and ulam-hyers stability for sequential hybrid fractional integro-differential equations 序贯混合分数阶积分-微分方程的存在性和ulam-hyers稳定性的拓扑度方法
Annali dell''Universita di Ferrara Pub Date : 2026-08-06 DOI: 10.1007/s11565-026-00716-2
Naas Adjimi, Abdelatif Boutiara, Maamar Benbachir
{"title":"Topological degree approach to existence and ulam-hyers stability for sequential hybrid fractional integro-differential equations","authors":"Naas Adjimi,&nbsp;Abdelatif Boutiara,&nbsp;Maamar Benbachir","doi":"10.1007/s11565-026-00716-2","DOIUrl":"10.1007/s11565-026-00716-2","url":null,"abstract":"<div><p>This manuscript discusses the existence and uniqueness result for the boundary value problem (BVP) of generalized hybrid fractional sequential integro-differential equations involving the <span>(psi )</span>-Caputo derivative. Our existence results rely on tools of nonlinear analysis. More precisely, we apply the measure of noncompact and degree topology, and the uniqueness results are assured with the Banach contraction principle. The stability of solutions is derived with the help of Ulam-Hyers stability. Finally, we give an example to illustrate the validity of the main results.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148750887","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
An analog of Titchmarsh’s theorem for the Hartley–Bessel transform Hartley-Bessel变换的Titchmarsh定理的类比
Annali dell''Universita di Ferrara Pub Date : 2026-08-05 DOI: 10.1007/s11565-026-00728-y
Mohamed Laamri, Abdellatif Akhlidj
{"title":"An analog of Titchmarsh’s theorem for the Hartley–Bessel transform","authors":"Mohamed Laamri,&nbsp;Abdellatif Akhlidj","doi":"10.1007/s11565-026-00728-y","DOIUrl":"10.1007/s11565-026-00728-y","url":null,"abstract":"<div><p>In this paper, we study an analog of Titchmarsh’s theorem for the Hartley–Bessel transform on the real line. Using the Hartley–Bessel operator <span>(Lambda _alpha )</span>, the associated generalized translation, and suitable higher-order differences, we obtain integrability and decay estimates for the Hartley–Bessel transform in weighted <span>(L^p)</span> spaces. More precisely, we prove conditions ensuring that <span>(mathcal {H}_alpha (f))</span> belongs to <span>(L^beta (mathbb {R},dmu _alpha ))</span>, where <span>(1&lt;ple 2)</span>. We also introduce a Hartley–Lipschitz class defined by means of the operator <span>(Lambda _alpha )</span> and establish a corresponding estimate for the tail integral of the transform. Finally, in the Hilbert space case <span>(p=2)</span>, we prove an equivalence between this Hartley–Lipschitz condition and a decay estimate for the Hartley–Bessel transform.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148750874","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
Common fixed point theorems of integral type contraction under c-class functions in b-metric spaces b-度量空间中c类函数下积分型收缩的公共不动点定理
Annali dell''Universita di Ferrara Pub Date : 2026-08-03 DOI: 10.1007/s11565-026-00730-4
Soumia Bagui, Taieb Hamaizia
{"title":"Common fixed point theorems of integral type contraction under c-class functions in b-metric spaces","authors":"Soumia Bagui,&nbsp;Taieb Hamaizia","doi":"10.1007/s11565-026-00730-4","DOIUrl":"10.1007/s11565-026-00730-4","url":null,"abstract":"<div><p>In this paper, we prove the existence and uniqueness of common fixed point for two self-mappings satisfying the integral type contraction by using the concept of C-class functions in complete <i>b</i>-metric spaces. Additionally, an example and an application are provided to illustrate and support our main results.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"72 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2026-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148750451","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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