Annali dell''Universita di Ferrara最新文献

In this paper, we have explored the forms of transcendental entire solutions for two categories of q-shift equations in the complex plane. The first investigation focused on Fermat-type simultaneous binomial q-shift equations, while the second dealt with trinomial q-shift equation. We have provided examples to illustrate and justify our findings.

The problem of thermal convection in a Burgers fluid occupying a horizontal layer is investigated. The thresholds for linear instability are calculated in detail and the critical Rayleigh and wave numbers are determined. Using a classification of Anatoly P. Oskolkov it is shown that the model for a Burgers fluid is a natural extension of a Maxwell fluid and one may also refer to it as a Maxwell fluid of order two. The thermal convection thresholds are compared to those for a regular Maxwell fluid and the effects of the new parameters in the Burgers model are displayed.

Let (mathfrak {E}) be a unital (*)-algebra and (eta ne -1) be a nonzero scalar. This paper establishes that if a nonlinear mapping (zeta : mathfrak {E} rightarrow mathfrak {E}) satisfies ( zeta (mathcal {U} bullet mathcal {V} circ _eta mathcal {W})=zeta (mathcal {U}) bullet mathcal {V} circ _eta mathcal {W}+mathcal {U} bullet zeta (mathcal {V}) circ _eta mathcal {W}+mathcal {U} bullet mathcal {V} circ _eta zeta (mathcal {W})) for all ( mathcal {U}, mathcal {V}, mathcal {W} in mathfrak {E}), then (zeta ) is an additive (*)-derivation and fulfils (zeta (eta mathcal {U})=eta zeta (mathcal {U})) for all (mathcal {U} in mathfrak {E}.) Additionally, we extend this result to various other algebras.

This paper investigates a nonlinear initial value problem involving the (varphi )-Caputo fractional derivative within the framework of a Banach space. To establish the existence of mild solutions, we utilize the Meir-Keeler fixed point theorem in conjunction with the concept of measure of noncompactness. The existence and uniqueness of solutions are further demonstrated via the Banach contraction principle. In addition, we explore the solution’s sensitivity to initial data and examine its Ulam-Hyers stability. To illustrate the theoretical findings, representative examples are presented.

The fractional Dunkl transform (FrDT) is a natural extension of the classical Dunkl transform (mathcal {D}_mu ). In this paper, we establish two qualitative uncertainty principles associated with the FrDT. The first result is a Cowling–Price-type theorem, in which we study the decay properties of two fractional Dunkl transformations for two different angles (alpha ) and (gamma ), assuming the angular difference satisfies (gamma - alpha ne npi ) for all (n in {mathbb {Z}}). The second result is an (L^p)–(L^q) version of Morgan’s theorem in the context of the FrDT. These results generalize classical uncertainty principles by imposing joint constraints on the decay behavior of a function and its fractional Dunkl transform.

We investigate uniqueness in theories of linear elasticity with a Kelvin–Voigt effect, assuming the elastic coefficients are not sign-definite. This is important with modern materials such as auxetic materials where Poisson’s ratio may be negative. In addition to studying classical linear elasticity with Green–Naghdi thermodynamics of type II, we also analyse a theory which incorporates higher gradients of both elastic displacement and temperature. To allow for non-sign definite elastic coefficients we employ a logarithmic convexity technique. Due to the special nature of the governing partial differential equations it is necessary to construct a novel functional with which one may use logarithmic convexity.

For an abelian group G of finite order, the non co-maximal graph of subgroups of G, denoted by NC(G), is a graph whose vertices are non-trivial proper subgroups of G and two distinct vertices S and T are adjacent if and only if (ST ne G). In this article, we study the interdisciplinary relation between group theoretic properties and graph theoretic properties of non co-maximal graph. The role of cyclic group is one of the key components in this discussion. We also emphasis on the concept of the maximal subgroups of the groups for depiction of the corresponding graphs. Almost all graph theoretic insights are taken into consideration for the developments of this graph. We investigate completeness, emptiness, connectedness, diameter, girth in the second section of this paper. The clique number, independence number, domination number, vertex chromatic number are found in the third section. Planarity, weakly perfect character are interpreted in the fourth section. In the fifth section, we discuss the concept of traversability of NC(G).

Wigner-Ville distribution (WVD) in the frame work of quaternion linear canonical transform (QLCT) (WVD-QLCT) is the generalized version of WVD in the quaternion algebra. Recently, some properties and applications in detection of linear frequency modulated (LFM) signals have been studied for the WVD-QLCT. In this paper, we first establish a relationship between WVD-QLCT and QFT and then we derive different uncertainty principles (UPs) which includes the Heisenberg’s UP, logarithmic UP, Hardy’s UP, Donoho Stark’s UP and Beurling’s UP associated with the WVD-QLCT.

This paper investigates the existence of solutions for nonlinear fractional Hadamard integro-differential equations with boundary conditions. The analysis is based on classical fixed-point theories, including Petryshyan’s and Banach’s fixed-point theorems. Some examples are provided to demonstrate the theoretical findings.

The notion of a pure subhypermodule and so pure subhypermodule relative to subhypermodule are introducing. Some properties of these concepts have been studied. In this work the notion of a (E_n)-pure subact and so (E_n)-pure subact relative to subact have been introduced. Some properties of these concepts are studing. Prove that X is pure subhypermodule if and only if foreach finite sets ({mi} in M, {ni} in X) with ({r_{ij}} in R) and (nj = sum _{i=1}^{k}{r_{ij}m_i}, j = 1, 2,ldots , l,) there is a ({ x_i } in X) which is finite set, when (nj -sum _{i=1}^{k}{r_{ij}x_i} in X cap K) for each subhypermodule K, and A hypermodule M owns the pure intersection property if and only if (left( zN cap zKright) =zleft( Ncap K right) ) for each (z in R) and for all pure subhypermodules N, K in M. Also, prove that for act, If M owns the (E_n)-pure subact intersection property, then each (E_n)-pure subact in M has the (E_n)-pure subact intersection property, and Put X is (E_n)-pure subact in M. M has (E_n)-pure sub-act intersection property, if and only if, (frac{M}{X}) has (E_n)-pure subact intersection property.