Search

In this paper, we defined the modified gamma and beta functions, which involving the generalized M-series at their kernels, and then defined the modified Gauss and confluent hypergeometric functions by using the modified beta function. Furthermore, we presented some of their properties such that, integral representations, summation formulas and derivative formulas. Also, we applied beta, Mellin, Laplace, Sumudu, Elzaki and general integral transforms to newly defined the modified special functions. Then, we obtained solution of fractional differential equations involving the modified special functions, as examples. Finally, we gave the relationships between the modified functions with some of the generalized special functions, which can be found in the literature.

In this paper, we find some relations between maximum modulus of a rational function r(z) satisfying r(z) = B(z)r(1/z) and the maximum modulus of its derivative. We also find analogue of Chon’s Theorem for rational functions.

In this paper, we analyse the large time behaviour in a fractional nonlinear model of population daynamics with age dependent. We show the existence and uniqueness of the solution by using the method of seperation of variables, and we studied the Ulam-Hyers stability of the model.

In this paper, we introduce the notion of I^K_sn-open set and show that the family of I^K_sn-open sets in a topological space forms a topology. The category of I^K-neighborhood spaces is introduced and several properties are obtained there after. Moreover, we obtain a necessary and sufficient condition for the coincidence of the notions ``preserving I^K-convergence'' and `` I^K-continuity'' for any mapping defined on $X$. Several mappings that are defined on a topological space are shown to be coincident in an I^K-sequential space. The entire investigation is performed in the setting of I^K-convergence which further extends the recent developments [11,13,1].

Let R be a prime ring with char(R) 6= 2. Suppose that f(x1,... , xn) be a noncentral multilinear polynomial over C, G be nonzero generalized derivation of R and d a nonzero derivation of R. In this paper we describe all possible forms of G in the given case.

Let R be a commutative ring with unity and M be a unitary R-module. Let T(M) be the set of all torsion elements of M and NT(M) = M − T(M) be the set of all non-torsion elements of M. The non-torsion element graph of M over R is an undirected simple graph GNT (M) with NT(M) as vertex set and any two distinct vertices x and y are adjacent if and only if x + y ∈ T(M). In this paper, we study the basic properties of the graph GNT (M). We also study the diameter and girth of GNT (M). Further, we determine the domination number and the bondage number of GNT (M). We establish a relation between diameter and domination number of GNT (M). We also establish a relation between girth and bondage number of GNT (M). We also establish a relation between girth and bondage number of GNT (M).

In this paper, a novel and simple method for obtaining the Chevalley-Jordan decomposition and the spectral projections of matrices is presented. Our method is direct and elementary, it gives tractable and manageable formulas with minimum mathematical prerequisites. Moreover, knowing only some associated matrices of the matrix, we can simply provide the minimal polynomial of this matrix.

This paper presents an economic analysis of the influence of market capitalization on economic growth in Morocco. Indeed, we are trying to diagnose the effect of market capitalization on GDP, on national consumption of households, on the exchange rate, on the unemployment rate, and on the deficit of the trade balance. The evidence shows that market capitalization at Morocco does not influence national household consumption, nor gross domestic product. This econometric result is also confirmed in the long term. However, no causal relationship is found in between gross domestic product does and stock market capitalization in short and long run. at the level of national household consumption, the absence of any kind of causality with market capitalization, As for the relationship of GDP with market capitalization, the absence of any kind of short and long term relationship

Generalized LinearModels (GLM) allows us to model the relationship between a response variable and one or more predictor variables while taking into account the distribution of the response variable. It is a useful tool for modeling data that do not follow a normal distribution and can be applied to a wide range of data types and problem settings. As data becomes increasingly relevant in our daily lives, the use of these models is becoming more important. However, this increase in importance also implies an increase in the complexity of estimation due to the volume of data that must be processed. In contrast, when dealing with laboratory experiments or other situations, we may have limited observations making it challenging to obtain robust estimates. To address these challenges, this paper proposes a simple and efficient method for estimating the coefficients of GLM and provides mathematical proof for the almost sure convergence of this method towards the desired solution. The proposed method is also validated on real-world data, reinforcing its utility and effectiveness.

In this paper, we investigate the existence and uniqueness of solutions for fuzzy boundary value problems involving fuzzy Caputo fractional derivatives of order q 2 (2, 3). As a preliminary step, we construct a generic structure of the solution associated with our proposed model by utilizing the Green’s function. We establish the existence of a unique solution of the proposed model paired with the given initial conditions by using Banach fixed point theorem. At last, as application, an illustrative example is given to show the applicability of our theoritical results.

The goal of this paper is to look into a numerical approximation for the spread of the coronavirus disease 2019 (COVID-19) in Turkey. From March 11th to November 30th, all data is examined one by one for this purpose. The Lagrange interpolation method does not require evenly spaced x values. On the other hand, it is usually preferable to look for the closest value in the table and then use the lowest-order interpolation that is consistent with the functional form of the data. Using this method, a function for monthly and general data on the number of COVID-19 disease deaths and cases infected with the disease is obtained. Matlab programming is used to obtain Lagrange interpolation polynomials. Simulations for month by month and general data are obtained using Lagrange interpolation polynomial. The rate of spread of disease and death numbers is obtained by taking the first derivative of this function. Monthly and general tables are constructed for this propagation rate data. Peak point of the disease and different change values ​​are determined from the information in these simulations. The rates of death and spread of the disease by months are compared. As a result of this comparison, it can be seen in which months the rate of spread of disease and death increases and decreases. Monthly increase and decrease values ​​can be seen from the Figure 3-Figure 6. For example, a relative decrease can be observed in April and May

In this research paper, we introduce some concepts of λf-density in connection with modulus functions under certain conditions. Furthermore, we establish some relations between the sets of λf-statistically convergent and λf-statistically bounded sequences.

The main object of this paper is to introduce a new integral operator associated with Mittag-Leffler function. Further, we obtain some sufficient condition for this integral operator belonging to certain classes of starlike functions.

Let K = Q(α) be a number field, where α satisfies the monic irreducible polynomial F (x) = x5 + ax + b belonging to Z[x]. The purpose of this paper is to caracterise when a prime p is a common index divisor of K. More precisely, we give explicitly a necessary and sufficient conditions, on a and b for which K is not monogenic. Some useful examples are also given.

In this paper, we consider a class of non-homogeneous fractional (p (.), q (.))−Laplacian systems. By using variational methods and combining with the theory of Lebesgue and fractional Sobolev spaces with variable exponents, we prove the existence of solutions to the system.

In this paper we have established two common fixed point theorems which are variants of the fixed point theorem of Boyd and Wong [On nonlinear contractions, Proc. Amer. Math. Soc. 20(1969), 458-464]. By applying the newly established fixed point theorems two common coupled fixed point theorems have been proved for a pair of weakly increasing mappings. Examples are given to substantiate our theorems.

In this paper, we discuss the derivation alternator rings which are nonassociative but not (-1.1) rings. By assuming some additional conditions, we prove that derivation alternator rings are (-1,1) rings. Here we validate a semiprime derivation alternator ring with commutators in the left nucleus satisfies the identity . By using this we show that a semiprime derivation alternator ring with commutators in the left nucleus is a (-1,1) ring.

In this paper, we investigate the effect of spatial diffusion and delay on the dynamical behavior of the SEIRQ epidemic model. The introduction of the delay in this model makes it more realistic and modelizes the latency period. In addition, the consideration of an SEIRQ model with diffusion aims to better understand the impact of the spatial heterogeneity of the environment and the movement of individuals on the persistence and extinction of disease. First, we determined a threshold value $R_0$ of the delayed SEIRQ model with diffusion. Next, By using the theory of partial functional differential equations, we have shown that the unique disease-free equilibrium is asymptotically stable , what is proven by the numericals scchema. Moreover,we search under their condition the endemic equilibrium is asymptotically stable .

In this paper, we investigate some properties \ of $\theta_{g}$-continuous and weakly $g$-continuous functions in a topological spaces. Moreover, the relationships with other related functions are investigated.

In this paper, we study weak solutions to the following Steklov parabolic problem: $$ \begin{cases} u_t - \Delta_p u + \vert u \vert^{p-2} u = 0 \quad \quad \text{ in } ~ \Omega ,~ t>0 , \\ \vert \nabla u \vert^{p-2} \frac{\partial u}{\partial \nu }= \lambda \vert u \vert ^{q} u \quad \quad \quad ~ \text{ on }~ \partial \Omega ,~ t>0 , \\ u(x;0)=u_0 (x) \quad \quad \quad \quad \quad ~~ \text{ in } ~ \Omega . \end{cases} $$ where $\Omega \subset \mathbb{R}^{n}$ is an open bounded domain for $ n \geq 2$ with smooth boundary $ \partial \Omega$, $\lambda > 0 $. Here, $u_t $ denote the partial derivative with respect to the time variable $t$ and $ \nabla u$ denotes the one with respect to the space variable $x$. We prove theorems of existence of weak solutions, via Galerkin approximation. Moreover, we show the existence of solutions which blow up in a finite time.

In this paper, we study some nonlinear Kirchhoff boundary value problems of fractional differential equations involving Riemann Liouville operator. Under appropriate assumptions on the functions in the given problem, we establish the existence of solutions using variational methods combined with the mountain pass theorem. Moreover, an illustrative example is presented to prove the validity of the main result.

In this paper, we introduce the weak (ψ − φ)-Jaggi type contraction. The existence and uniqueness of fixed point for such contraction is investigated. It is very helpful in extending the existing results of corresponding literature. In addition, we also provide an example in support of our theorem.

In this paper, we investigate a Bresse-Timoshenko-type system with a distributed delay term and second sound. Under suitable assumptions, we establish the global well-posedness of the initial and boundary value problem by using the Faedo-Galerkin approximations and some energy estimates.

This paper's primary goal is to look at a quotient ring $\mathscr{A}/\mathscr{T}$ structure, where $\mathscr{A}$ is an arbitrary ring and $\mathscr{T}$ is a semi-prime ideal of $\mathscr{A}$. More precisely, we examine the differential identities in a semi-prime ideal of an arbitrary ring involving $\mathscr{T}$-commuting generalized derivation. Furthermore, examples are given to prove that the restrictions imposed on the hypothesis of the various theorems were not superfluous.

In this paper, by using the Littlewood-Paley theory and the Fourier localization argument, we obtained the analyticity of the solution to the fractional Navier-Stokes equations in variable exponents Fourier-Besov-Morrey spaces when the initial data are small.

This present paper proposes an analytical and numerical study of a new integro-differential Volterra-Strum-Liouville equation of the second type, having a weak singularity. We provide conditions that guarantee the existence and uniqueness of the solution of the nonlinear problem. Then, we develop a numerical technique using the production integration method. The numerical application shows the efficiency of the proposed procedure.

In this paper the inverse Bessel Wavelet Transform is investigated, the Calderon reproducing formula of Bessel wavelet transform is obtained by generalizing result of [7]. Some applications associated with Calderon’s reproducing formula of Hankel convolution are given.

The aim of the paper is to obtain common fixed point theorems for ( psi, phi)-contraction under the generalized rational type condition in a complete metric space. Moreover, these theorems generalize recent well known results in the literature.

The main objective of this paper is to investigate the solution of infinite system of fourth order differential equations in $\ell_p$ space by using measures of noncompactness. The result is demonstrated with an example.

In this paper, we present the notation of G-F-Contractive mappings of Hardy-Rogers type and give some fixed point results of Hardy-Rogers type for self-mappings in complete G-metric spaces.

In this paper, we study the twisted Hessian curve denoted $H^{n}_{a,d}$ over the ring $\mathbb{F}_{q} [X] / (X^{n})$, where $\mathbb{F}_{q}$ is a finite field of q elements, with q is a power of a prime number $p \geq 5$ and $n \geq 5$. In a first time, we describe these curves over this ring. In addition, we prove that when $p$ doesn't divide $\# ( H_{\pi(a), \ \pi(d)})$, then $H^{n}_{a,d}$ is a direct sum of $ H_{\pi(a), \ \pi(d)}$ and $\mathbb{F}_{q}^{n-1}$, where $ H_{\pi(a), \ \pi(d)}$ is the twisted Hessian curve over $\mathbb{F}_{q}$. Other results are deduced from, we cite the equivalence of the discrete logarithm problem on the twisted Hessian curves $H^{n}_{a,d}$ and $ H_{\pi (a), \ \pi (d)}$, which is beneficial for cryptography and cryptanalysis as well.

This paper proposes an integrated control model that enables the pesticide use according to the prey density and the insertion of the natural enemy, the predators, by fuzzy linear programming. The fall armyworm Spodoptera frugiperda (Lepidoptera: Noctuidae) is one of the main resistant pests of corn, which can cause damage to the productivity up to 34%. The control is strictly chemical.

Let $R$ be a commutative ring with unity $(1\not=0)$. A proper ideal of $R$ is an ideal $I$ of $R$ such that $I\not=R$. Let $\phi : \mathfrak{I}(R)\rightarrow\mathfrak{I}(R)\cup\{\emptyset\}$ be any function, where $\mathfrak{I}(R)$ denotes the set of all proper ideals of $R$. In this paper we introduce the concept of a $\phi$-2-absorbing primal ideal which is a generalization of a $\phi$-primal ideal. An element $a\in R$ is defined to be $\phi$-2-absorbing prime to $I$ if for any $r,s,t\in R$ with $rsta\in I\setminus\phi(I)$, then $rs\in I$ or $rt\in I$ or $st\in I$. An element $a\in R$ is not $\phi$-2-absorbing prime to $I$ if there exist $r,s,t\in R$, with $rsta\in I\setminus\phi(I)$, such that $rs, rt, st\in R\setminus I$. We denote by $\nu_\phi(I)$ the set of all elements in $R$ that are not $\phi$-2-absorbing prime to $I$. We define a proper ideal $I$ of $R$ to be a $\phi$-2-absorbing primal if the set $\nu_\phi(I)\cup\phi(I)$ forms an ideal of $R$. Many results concerning $\phi$-2-absorbing primal ideals and examples of $\phi$-2-absorbing primal ideals are given.

In this manuscript , we establish the existence and uniqueness of solutions for boundary value problems of nonlinear hybrid fractional differential equations involving generalized $\omega-$Caputo fractional derivatives. The proofs are based on Krasnoselskii fixed point theorem and some basic concept of $\omega-$Caputo fractional analysis. As application, an nontrivial example is given in the last part of this paper to illustrate our theoretical results.

In his paper [2], Chongdar obtained an extension (Theorem 3) of the result on bilateral generating functions involving modified Laguerre polynomial stated in Theorem 1 of Ghosh [3]. In this article, the present authors have made an attempt to present a further generalization of the extension obtained by Chongdar [2] by means of the theory of one parameter group of continuous transformations as well as using the concepts of partial quasibilateral generating function [4] involving some special functions.

In this paper, we establish the existence of at least three weak solutions to a problem involving the the fractional p(x, .)- Laplacian operator with weight. Our method used for obtaining the existence of three solutions for a class of Choquard equations is based on the variational method concerned a type of version of Ricceri.

In this paper, we investigate the existence and uniqueness of solutions for a class of fractional integro- differential boundary value problems involving both Riemann–Liouville and Caputo fractional derivatives, and supplemented with multi-point and nonlocal Riemann-Liouville fractional integral and Caputo fractional deriv- ative boundary conditions. Our results are based on some known tools of fixed point theory. We also study the Ulam–Hyers stability for the proposed fractional problems. Finally, some illustrative examples are included to verify the validity of our results.

In this paper, we obtain the expressions of the solutions of the following nonlinear systems of difference equations x_{n+1}=((x_{n-9})/(1+x_{n-9}y_{n-4})), y_{n+1}=((y_{n-9})/(±1±x_{n-4}y_{n-9})),n=0,1,..., where the initial conditions x₋₉, x₋₈, x₋₇, x₋₆, x₋₅, x₋₄, x₋₃, x₋₂, x₋₁, x₀, y₋₉, y₋₈, y₋₇, y₋₆, y₋₅, y₋₄, y₋₄, y₋₃, y₋₂, y₋₁, y₀ are arbitrary non zero real numbers.

This purpose of this paper is to introduce a new class of open sets namely semi-delta-open sets . Further, some basic topological concepts such as neighbourhood axioms, border point, exterior point, frontier point of a set are defined and their properties have been investigated. In addition, in terms of these open sets, semi-delta-closed functions and semi-delta-continuous functions are also defined and their properties have been discussed

In this paper, we study a generalization of $h$-pure submodules as well as some other closely related concepts. Here, we examine the extent of this generalization in several ways. We then use this to give a characterization of the imbedded-complete modules. It is found that imbeddedness can considerably more abundant than $h$-purity on direct sum of uniserial modules.

In this paper we study the effect of functions on weakly \muH-countably compact spaces in generalized topology. The main result is that the \theta(\mu, \nu)-continuous image of a weakly \muH-countably compact (resp. weakly \mu-countably compact) space is weakly \nuf(H)-countably compact (resp. weakly \nu-countably compact).

This paper is devoted to studying the nonlinear problem with subcritical exponent $(S_{\varepsilon}) : \Delta^{2}u-c_n\Delta u+d_nu = Ku^{\frac{n+4}{n-4}-\varepsilon}$, $u>0$ on $ S^n$, where $n\geq5$, $ \varepsilon$ is a small positive parameter and $K$ is a a smooth positive function on $S^n$. We construct some solutions which blow up at $q$ different critical points of $K$.

Let $(M,P\nabla_M)$ be a compact projective manifold and $Aut(M,P\nabla_M)$ its group of automorphisms. The purpose of this paper is to study the topological properties of $(M,P\nabla_M)$ if $Aut(M,P\nabla_M))$ is not discrete by applying the results of [13] and the Benzekri's functor which associates to a projective manifold a radiant affine manifold. This enables us to show that the orbits of the connected component of $Aut(M,P\nabla_M)$ are immersed projective submanifolds. We also classify $3$-dimensional compact projective manifolds such that $dim(Aut(M,P\nabla_M))\geq 2$.

In this paper, we introduce and check some properties of pseudospectrum and some approximation of a pencil of bounded linear operators on non-archimedean Banach Spaces. Our main result extends some results for a pencil of bounded linear operators on non-archimedean Banach spaces and we give some examples to support our work.

In this paper we introduce and study the notions of hypercyclicity and transitivity for random dynamical systems and we establish the relation between them in a topological space. We also introduce the notions of mixing and weakly mixing for random dynamical systems and give some of their properties.

In this paper, we study 3-prime near-rings with left generalized semiderivations that satisfy specific dierential identities. Consequently, some well-known results from the literature have been generalized. We also show how the constraints placed on the hypothesis of various results are really not redundant.

In the present paper, we establish the existence and uniqueness solution for an iterative differential equation involving caputo fractional derivative of order $1

In this paper, we propose two methods to approach numerically the length of curves and the area of surface of revolution created by rotating a curve around an axis. The first is based on an approximation of functions by quadratic spline discrete quasi-interpolant and calculating its exact length. The second method consists to approximate the values of the first derivatives by those of cubic spline discrete quasiinterpolant. Those values are used to provide a quadrature formula to calculate the integral giving the length. In both methods, we prove that the order of convergence is O(h^4). The theoretical results given in this work are justified by some numerical examples.

In this paper, we have defined β-local closure function. Its properties and characterizations are analyzed. The set operator is defined and its properties are discussed. The notions of β-closure compatible topology with an ideal are introduced and investigated. Moreover, dense set and -codense ideal are defined and explored.

Copyright of Cuestiones Teológicas is the property of Cuestiones Teologicas and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)