Abstract: Let M be an almost cosymplectic 3-h-a-manifold. In this paper, we prove that the Ricci operator of M is transversely Killing if and only if M is locally isometric to a product space of an open interval and a surface of constant Gauss curvature, or a unimodular Lie group equipped with a left invariant almost cosymplectic structure. Some corollaries of this result and some examples illustrating main results are given. PubDate: Mon, 16 Mar 2020 04:50:09 +000
Abstract: We herein present the detailed results for the existence and uniqueness of mild solution for multifractional order impulsive integrodifferential control equations with a nonlocal condition involving several types of semigroups of bounded linear operators, which were established on probability density functions related with the fractional differential equation. Additionally, we present the necessary and sufficient conditions to investigate Schauder’s fixed point theorem with Holder’s inequality –mean continuity and infinite delay parameter to guarantee the uniqueness of a fixed point. PubDate: Tue, 10 Mar 2020 12:20:01 +000
Abstract: This paper deals with the existence of mild solutions for the following Cauchy problem: , where is the so-called conformable fractional derivative. The linear part A is the infinitesimal generator of a uniformly continuous semigroup on a Banach space X, f and are given functions. The main result is proved by using the Darbo–Sadovskii fixed point theorem without assuming the compactness of the family and the Lipshitz condition on the nonlocal part . PubDate: Mon, 17 Feb 2020 13:05:49 +000
Abstract: This article considers modified formulas for the standard conjugate gradient (CG) technique that is planned by Li and Fukushima. A new scalar parameter for this CG technique of unconstrained optimization is planned. The descent condition and global convergent property are established below using strong Wolfe conditions. Our numerical experiments show that the new proposed algorithms are more stable and economic as compared to some well-known standard CG methods. PubDate: Sat, 25 Jan 2020 05:35:04 +000
Abstract: The purpose of this paper is to introduce the concepts of -continuous multifunctions and almost -continuous multifunctions. Moreover, some characterizations of -continuous multifunctions and almost -continuous multifunctions are investigated. PubDate: Wed, 22 Jan 2020 09:50:09 +000
Abstract: Let L be a lattice with the least element 0. Let be the finite set of atoms with and be the zero divisor graph of a lattice L. In this paper, we introduce the smallest finite, distributive, and uniquely complemented ideal B of a lattice L having the same number of atoms as that of L and study the properties of and . PubDate: Sun, 01 Dec 2019 15:05:37 +000
Abstract: A full Lie point symmetry analysis of rational difference equations is performed. Nontrivial symmetries are derived, and exact solutions using these symmetries are obtained. PubDate: Sun, 01 Dec 2019 13:05:42 +000
Abstract: Simple finite connected graphs of vertices are considered in this paper. A connected detour set of is defined as a subset such that the induced subgraph is connected and every vertex of lies on a detour for some . The connected detour number of a graph is the minimum order of the connected detour sets of . In this paper, we determined for three special classes of graphs , namely, unicyclic graphs, bicyclic graphs, and cog-graphs for ,, and . PubDate: Sun, 03 Nov 2019 00:11:17 +000
Abstract: In this paper, a new method based on combination of the natural transform method (NTM), Adomian decomposition method (ADM), and coefficient perturbation method (CPM) which is called “perturbed decomposition natural transform method” (PDNTM) is implemented for solving fractional pantograph delay differential equations with nonconstant coefficients. The fractional derivative is regarded in Caputo sense. Numerical evaluations are included to demonstrate the validity and applicability of this technique. PubDate: Sun, 03 Nov 2019 00:11:15 +000
Abstract: A mathematical heuristic model was proposed to analyze the flow of information in administrative workflows. The model starts from a conceptual analysis from the perspective of probabilistic systems, information theory, and information entropy. The main parameters of the analysis are to identify theoretically a workflow as a hybrid dynamic system where the probabilistic distribution of the information, the time of information processing, and the precision with which the workflow is executed are caused by the cognitive performance of agents within a complex adaptive system. The model of analysis provides support for the search for empirical evidence in workflow investigations, highlighting the presence or absence of agent ad hoc methods and their influence on firm’s productivity. PubDate: Sun, 03 Nov 2019 00:11:14 +000
Abstract: The main purpose of this paper is to study mixed equilibrium problems in Hadamard spaces. First, we establish the existence of solution of the mixed equilibrium problem and the unique existence of the resolvent operator for the problem. We then prove a strong convergence of the resolvent and a -convergence of the proximal point algorithm to a solution of the mixed equilibrium problem under some suitable conditions. Furthermore, we study the asymptotic behavior of the sequence generated by a Halpern-type PPA. Finally, we give a numerical example in a nonlinear space setting to illustrate the applicability of our results. Our results extend and unify some related results in the literature. PubDate: Sun, 13 Oct 2019 00:08:37 +000
Abstract: The aim of this article is to introduce a new definition for the Fourier transform. This new definition will be considered as one of the generalizations of the usual (classical) Fourier transform. We employ the new Katugampola derivative to obtain some properties of the Katugampola Fourier transform and find the relation between the Katugampola Fourier transform and the usual Fourier transform. The inversion formula and the convolution theorem for the Katugampola Fourier transform are considered. PubDate: Tue, 01 Oct 2019 01:05:34 +000
Abstract: In this paper, we give the direct method to find of the core inverse and its generalizations that is based on their determinantal representations. New determinantal representations of the right and left core inverses, the right and left core-EP inverses, and the DMP, MPD, and CMP inverses are derived by using determinantal representations of the Moore-Penrose and Drazin inverses previously obtained by the author. Since the Bott-Duffin inverse has close relation with the core inverse, we give its determinantal representation and its application in finding solutions of the constrained linear equations that is an analog of Cramer’s rule. A numerical example to illustrate the main result is given. PubDate: Tue, 01 Oct 2019 01:05:32 +000
Abstract: Let be the configuration space of equilateral spatial n-gons. For and , let be the subspace of consisting of elements whose first k bond angles are θ. Recently, the topological type of was determined for small n, special θ, and or . In this paper, we determine the topological type of for general n and θ. PubDate: Mon, 09 Sep 2019 14:05:02 +000
Abstract: A definition of the two-dimensional quaternion linear canonical transform (QLCT) is proposed. The transform is constructed by substituting the Fourier transform kernel with the quaternion Fourier transform (QFT) kernel in the definition of the classical linear canonical transform (LCT). Several useful properties of the QLCT are obtained from the properties of the QLCT kernel. Based on the convolutions and correlations of the LCT and QFT, convolution and correlation theorems associated with the QLCT are studied. An uncertainty principle for the QLCT is established. It is shown that the localization of a quaternion-valued function and the localization of the QLCT are inversely proportional and that only modulated and shifted two-dimensional Gaussian functions minimize the uncertainty. PubDate: Mon, 09 Sep 2019 13:05:07 +000
Abstract: In this paper, we introduce an iterative method for approximating a common solution of monotone inclusion problem and fixed point of Bregman nonspreading mappings in a reflexive Banach space. Using the Bregman distance function, we study the composition of the resolvent of a maximal monotone operator and the antiresolvent of a Bregman inverse strongly monotone operator and introduce a Halpern-type iteration for approximating a common zero of a maximal monotone operator and a Bregman inverse strongly monotone operator which is also a fixed point of a Bregman nonspreading mapping. We further state and prove a strong convergence result using the iterative algorithm introduced. This result extends many works on finding a common solution of the monotone inclusion problem and fixed-point problem for nonlinear mappings in a real Hilbert space to a reflexive Banach space. PubDate: Mon, 02 Sep 2019 13:30:12 +000
Abstract: The Ahlfors map is a conformal mapping function that maps a multiply connected region onto a unit disk. It can be written in terms of the Szegö kernel and the Garabedian kernel. In general, a zero of the Ahlfors map can be freely prescribed in a multiply connected region. The remaining zeros are the zeros of the Szegö kernel. For an annulus region, it is known that the second zero of the Ahlfors map can be computed analytically based on the series representation of the Szegö kernel. This paper presents another analytical method for finding the second zero of the Ahlfors map for an annulus region without using the series approach but using a boundary integral equation and knowledge of intersection points. PubDate: Wed, 28 Aug 2019 00:05:15 +000
Abstract: In this article, we prove the existence of a simple cyclic near-resolvable -cycle system of for by the method of constructing its starter. Then, some new properties and results related to this construction are formulated. PubDate: Thu, 01 Aug 2019 03:05:28 +000
Abstract: We study some properties of generalized multivariable Mittag-Leffler function. Also we establish two theorems, which give the images of this function under the generalized fractional integral operators involving Fox’s H-function as kernel. Relating affirmations in terms of Saigo, Erdélyi-Kober, Riemann-Liouville, and Weyl type of fractional integrals are also presented. Some known special cases have also been mentioned in the concluding section. PubDate: Thu, 01 Aug 2019 03:05:26 +000
Abstract: Functions of bounded variations form important transition between absolute continuous and singular functions. With Bainov’s introduction of impulsive differential equations having solutions of bounded variation, this class of functions had eventually entered into the theory of differential equations. However, the determination of existence of solutions is still problematic because the solutions of differential equations is usually at least absolute continuous which is disrupted by the solutions of bounded variations. As it is known, if is of bounded variation then is the sum of an absolute continuous function and a singular function where the total variation of generates a singular measure and is absolute continuous with respect to . In this paper we prove that a function of bounded variation has two representations: one is which was described with an absolute continuous part with respect to the Lebesgue measure , while in the other an integral with respect to forms the absolute continuous part and defines the singular measure. Both representations are obtained as parameter transformation images of an absolute continuous function on total variation domain . PubDate: Mon, 08 Jul 2019 09:05:17 +000
Abstract: The aim of this paper is to generalize Caristi’s fixed point theorem in a K-complete quasi-metric space endowed with a reflexive digraph by using Száz maximum principle. An example is given to support our main result. PubDate: Mon, 01 Jul 2019 09:05:34 +000
Abstract: We construct the almost strong prismatic structure on the set of planar rooted trees and the bicomplex of planar rooted trees. Furthermore, we study the prismatic properties of Loday’s algebraic operations on the set of planar rooted trees. PubDate: Mon, 01 Jul 2019 08:06:06 +000
Abstract: The orbits of a real form of a complex semisimple Lie group and those of the complexification of its maximal compact subgroup acting on , a homogeneous, algebraic, -manifold, are finite. Consequently, there is an open -orbit. Lower-dimensional orbits are on the boundary of the open orbit with the lowest dimensional one being closed. Induced action on the parameter space of certain compact geometric objects (cycles) related to the manifold in question has been characterized using duality relations between - and -orbits in the case of an open -orbit and more recently lower-dimensional -orbits. We show that the parameter space associated with the unique closed -orbit in agrees with that of the other orbits characterized as a certain explicitly defined universal domain. PubDate: Mon, 01 Jul 2019 08:06:04 +000
Abstract: In this paper, we present an uncoupled leap-frog finite difference method for the system of equations arising from sweat transport through porous textile media. Based on physical mechanisms, the sweat transport can be viewed as the multicomponent flow that coupled the heat and moisture transfer, such that the system is nonlinear and strongly coupled. The leap-frog method is proposed to solve this system, with the second order accuracy in both spatial and temporal directions. We prove the existence and uniqueness of the solution to the system with optimal error estimates in the discrete norm. Numerical simulations are presented and analyzed, respectively. PubDate: Wed, 12 Jun 2019 14:15:10 +000
Abstract: The current manuscript is presented to study two-dimensional deformations in a nonhomogeneous, isotropic, rotating, magneto-thermoelastic medium in the context of Green-Naghdi model III. It is assumed that the functionally graded material has nonhomogeneous mechanical and thermal properties in the -direction. The exact expressions for the displacement components, temperature field, and stresses are obtained in the physical domain by using normal mode technique. These are also computed numerically for a copper-like material and presented graphically to observe the variations of the considered physical variables. Comparisons of the physical quantities are shown in figures to depict the effects of angular velocity, nonhomogeneity parameter, and magnetic field. PubDate: Mon, 10 Jun 2019 13:05:21 +000
Abstract: In a Hilbert space, concepts of attractive point and acute point are studied by many researchers. Moreover, these concepts extended to Banach space. In this paper, we introduce a new class of mappings on Banach space corresponding to the class of all widely more generalized hybrid mappings on Hilbert space. Moreover, we introduce some extensions of acute point and prove some acute point theorems. PubDate: Sun, 09 Jun 2019 12:05:18 +000
Abstract: A canonical form for a reduced matrix of order 3 with one characteristic root and with some zero subdiagonal elements is constructed. Thus, the problem of classification with respect to semiscalar equivalence of a selected set of polynomial matrices is solved. PubDate: Sun, 02 Jun 2019 00:00:00 +000
Abstract: In this paper, we consider the dual wavelet frames in both continuum setting, i.e., on manifolds, and discrete setting, i.e., on graphs. Firstly, we give sufficient conditions for the existence of dual wavelet frames on manifolds by their corresponding masks. Then, we present the formula of the decomposition and reconstruction for the dual wavelet frame transforms on graphs. Finally, we give a numerical example to illustrate the validity of the dual wavelet frame transformation applied to the graph data. PubDate: Tue, 28 May 2019 12:05:36 +000
Abstract: In this paper, we introduce the concept of multivalued contraction mappings in partially ordered bipolar metric spaces and establish the existence of unique coupled fixed point results for multivalued contractive mapping by using mixed monotone property in partially ordered bipolar metric spaces. Some interesting consequences of our results are obtained. PubDate: Wed, 15 May 2019 10:05:15 +000
Abstract: We present geometric based methods for solving systems of discrete or difference equations and introduce a technique for finding conservation laws for such systems. PubDate: Sun, 12 May 2019 08:05:20 +000
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