Showing papers in "Journal of Advances in Mathematics in 2016"
TL;DR: In this article, some soft topological properties are given in details, namely (soft compactness, soft sequentially compactness and continuity and uniformly continues of soft functions between soft topology spaces).
Abstract: After the famous article of Moldotsove [10] in 1999 which initiate the theory of soft sets as a mathematical theory to deal with the uncertainty problems, many research works in the softbmathematics and its applications in various fields are appeared. In [17], the authers introduced a new definition of the soft metric function using the soft elements. By this definition each soft metric in view of Das and Samanta [6] is also a soft metric in our concept but the converse is not true. In the present paper, some soft topological properties are given in details, namely (soft compactness, soft sequentially compactness, continuity and uniformly continues of soft functions between soft topological spaces). We hope that the findings in thispaper will help researcher enhance and promote the further study on soft topology to carry out a general framework for theirapplications in practical life.
57 citations
TL;DR: In this paper, the authors established Leibniz's rule and Fubini's theorem associated with the Hahn difference operator, and showed that the difference operator is equivalent to the FUBini theorem.
Abstract: In $1945$, Wolfgang Hahn introduced his difference operator$D_{q,\omega}$, which is defined by\begin{equation*}D_{q,\omega}f(t)= \frac{f(qt+\omega)-f(t)}{(qt+\om)-t}, \quad t
eq \om_{0},\end{equation*}where $\displaystyle{\omega_0=\frac {\omega}{1-q}}$ with $0 0.$In this paper, we establish Leibniz's rule and Fubini's theorem associated with this Hahn difference operator.
17 citations
TL;DR: In this article, the authors propose to construct a affine plane about a of any corps (K,+,*) and prove some theorems which show that the incidence structure A=(P, L, I) connected to the corps satisfies axioms A1, A2, A3 definition of affine planes.
Abstract: In this paper, based on several meanings and statements discussed in the literature, we intend constuction a affine plane about a of whatsoever corps (K,+,*). His points conceive as ordered pairs (α,β), where α and β are elements of corps (K,+,*). Whereas straight-line in corps, the conceptualize by equations of the type x*a+y*b=c, where a≠0K or b≠0K thevariables and coefficients are elements of that corps. To achieve this construction we prove some theorems which show that the incidence structure A=(P, L, I) connected to the corps K satisfies axioms A1, A2, A3 definition of affine plane. In all proofs rely on the sense of thecorps as his ring and properties derived from that definition.
10 citations
TL;DR: In this paper, the authors considered a class of generalized nonlinear Kirchhoff-Sine-Gordon equation in n dimensional space and proved the squeezing property of the nonlinear semigroup associated with this equation and the existence of exponential attractors.
Abstract: In this paper,we consider a class of generalized nonlinear Kirchhoff-Sine-Gordon equation in n dimensional space.We first prove the squeezing property of the nonlinear semigroup associated with this equation and the existence of exponential attractors.Then using the Hadamard’s graph transformation method,the existence of inertial manifolds of the equation is obtained when N is sufficiently large.Â
6 citations
TL;DR: In this article, the authors investigated the global well-posedness and the dynamics of solutions for the higher-order Kirchhoff-type with nonlinear strongly dissipation, and proved the existence and uniqueness of the solution by using priori estimate and Galerkin method.
Abstract: We investigate the global well-posedness and the longtime dynamics of solutions for the higher-order Kirchhoff-typeequation with nonlinear strongly dissipation:2( ) ( )m mt t tu u D u ( ) ( ) ( )m u g u f x . Under of the properassume, the main results are that existence and uniqueness of the solution is proved by using priori estimate and Galerkinmethod, the existence of the global attractor with finite-dimension, and estimation Hausdorff and fractal dimensions of theglobal attractor.
6 citations
TL;DR: Some types of fuzzy soft separated sets are introduced and some of thier preperties are studied and the notion of connectedness in fuzzy topological spaces due to Ming and Ming, Zheng etc., extended to fuzzy soft topological Spaces.
Abstract: In this paper we introduce some types of fuzzy soft separated sets and study some of thier preperties. Next, the notion of connectedness in fuzzy topological spaces due to Ming and Ming, Zheng etc., extended to fuzzy soft topological spaces. The relationship between these types of connectedness in fuzzy soft topological spaces is investigated with the help of number of counter examples.
6 citations
TL;DR: In this article, the authors studied the geometry of the pseudo-slant submanifolds of a Kenmotsu space form and gave necessary and sufficient conditions for a sub-manifold to be a pseudo-SLS in the space form.
Abstract: In this paper, we study geometry of the pseudo-slant submanifold of a Kenmotsu space form. Necessary and su±cient conditions are given for a submanifold to be a pseudo-slant submanifold in Kenmotsu manifolds. Fi- nally, we give some results for totally umbilical pseudo-slant submanifold in a Kenmotsu manifold and Kenmotsu space form.
5 citations
TL;DR: In this article, the real character on order Banach algebra with identity was studied, and the authors proved some properties on real character it and proved all character is extreme point, and introduced dual cone in order-banach space, and showed any order-Banach algebra satisfying certain conditions is isomorphic to the space valued continuous function C 0 (x) for a locally compact Housdorf space.
Abstract: In this paper we will study the real character on order Banach algebra with identity, and study character onorder Banach algebrawithout identity. We proved some properties on real character it. We define set of all character and prove it with some condition convex set and used it to prove all character is extreme point, we introduce dual cone in order Banach space .Also we show any order Banach algebra satisfying certain conditions is isomorphic to the space valued continuous function C 0 (x) forsuitable a locally compact Housdorf space .
5 citations
TL;DR: In this paper, a new definition of Meir-Keeler type contractions and a fixed point theorem for them in fuzzy metric space are presented, based on which they can be used to prove a fixed-point theorem.
Abstract: In this paper we introduce a new definition of Meir-Keeler type contractions and prove a fixed point theorem for them in fuzzy metric space.
5 citations
TL;DR: New types of soft compactness based on the soft ideal Ĩ in a soft topological space (X, τ, E) namely, soft αI-compactness, softαI-Ĩ-compactsness, hard α- closed, soft β-closed,Soft countably α- Ĩ-Compactness and soft countably β-ĩ-compACTness are introduced.
Abstract: In the present paper, we have continued to study the properties of soft topological spaces. We introduce new types of soft compactness based on the soft ideal Ĩ in a soft topological space (X, τ, E) namely, soft αI-compactness, soft αI-Ĩ-compactness, soft α-Ĩ-compactness, soft α-closed, soft αI-closed, soft countably α-Ĩ-compactness and soft countably αI-Ĩ-compactness. Also, several of their topological properties are investigated. The behavior of these concepts under various types of soft functions has obtained
5 citations
TL;DR: In this paper, the concept of edge monophonic domination num-ber of a graph is introduced and a set of vertices D of a given graph G is edge mono-phonic domination set (EMD set) if it is both edge monophonous set and adomination set of G.
Abstract: In this paper the concept of edge monophonic domination num-ber of a graph is introduced.A set of vertices D of a graph G is edge mono-phonic domination set (EMD set) if it is both edge monophonic set and adomination set of G.The edge monophonic domination number (EMD num- ber) of G, me(G) is the cardinality of a minimum EMD set. EMD number of some connected graphs are realized.Connected graphs of order n with EMD number n are characterised.It is shown that for any two integers p and q such that 2 p q there exist a connected graph G with m(G) = p and me(G) = q.Also there is a connected graph G such that (G) = p;me(G) = q and me(G) = p + q
TL;DR: In this paper, the effect of gravity modulation on the onset of Rayleigh-Benard convection in a micropolar fluid with internal heat generation is investigated by making a linear stability analysis.
Abstract: The effect of gravity modulation (time periodic body force or g-jitter) on the onset of Rayleigh-Benard convection in a micropolar fluid with internal heat generation is investigated by making a linear stability analysis. The stability of a horizontal layer of fluid heated from below is examined by assuming time periodic body force in the presence of internal heat source. A regular perturbation method is used to arrive at an expression to compute the critical Rayleigh number for small amplitude of modulation and dimensionless internal heat source. The Venezian approach is adopted to obtain the eigen value of the problem. The results obtained during the analysis have been presented graphically.
TL;DR: In this paper, the peristaltic transport through the gap between coaxial tubes, where the outer tube is non uniform and the inner tube is rigid, has been studied in terms of couple stress parameter.
Abstract: The aim of the present investigation is to study the peristaltic transport through the gap between coaxial tubes, where the outer tube is non uniform and the inner tube is rigid. The necessary theoretical results such as viscosity, pressure gradient and friction force on the inner and outer tubes have been obtained in terms of couple stress parameter. Out of these theoretical results the numerical solution of pressure gradient, outer friction, inert friction and flow rate are shown graphically for the better understanding of the problem.
TL;DR: The notion of the notion of intuitionistic fuzzy ideals in intuitionistic- fuzzy bitopological spaces and some results about it are proved.
Abstract: In this paper we introduce the notion of intuitionistic fuzzy ideals in intuitionistic fuzzy bitopological spaces and we prove some results about it .
TL;DR: In this article, the authors considered a finite undirected and connected simple graph G(E, V) with vertex set V(G) and edge set E(G), and introduced a new computes the spectra of some operations on simple graphs.
Abstract: In this paper, we consider a finite undirected and connected simple graph G(E, V) with vertex set V(G) and edge set E(G).We introduced a new computes the spectra of some operations on simple graphs [union of disjoint graphs, join of graphs, cartesian product of graphs, strong cartesian product of graphs, direct product of graphs].
TL;DR: In this paper, the problem of the classification of an object from the observation after its numerical characteristic in case of three prescribed classes was considered and the problem on finding and asymptotic behaviour of threshold-based classification rules constructed from a sample from a mixture with varying concentrations.
Abstract: We consider the problem of the classification of an object from the observation after its numerical characteristic in case of
three prescribed classes. We also study a problem on finding and asymptotic behaviour of threshold-based classification
rules constructed from a sample from a mixture with varying concentrations.
TL;DR: In this paper, a multinomial logistic regression model for authorship identification in the Albanian language texts is presented, where the dependent variable is categorical which takes different values from 1 to 10 for each of the authors and the independent variables are number of words, number of letters and number of vowels.
Abstract: In this paper we present a multinomial logistic regression model for authorship identification in the Albanian language texts. In the model fitted the dependent variable is categorical which takes different values from 1 to 10 for each of the author and the independent variables are number of words, number of letters, number of vowels, number of consonants, number of punctuations and number of sentences for each text. The model was applied with success in the set of ten authors, each of them being represented by a set of one hundred texts they authored. As results first, second and the third authors have the higher correct predicted percentage and the highest overall correct predicted probability taken was 0.738. As conclusion adding in the model number of consonants, number of punctuations and number of sentences as independent variables the overall correct predicted percentage is increased.
TL;DR: In this paper, the authors use fractional power series method (FPSM) to solve some linear or nonlinear fractional differential equations. Compared to the other method, the FPSM is more simple, derect and effective.
Abstract: we use fractional power series method (FPSM) to solve some linear or nonlinear fractional differential equations . Compared to the other method, the FPSM is more simple, derect and effective.
TL;DR: In this paper, Fourier series expansions of sine and cosine functions are established for any possible power, including real or complex or positive integer, and the accuracy of the computed values are at least of order.
Abstract: In this paper, Fourier series expansions of powers of sine and cosine functions are established for any possible power–real or complex or positive integer. Recurrence relations are established to facilities the computations of the coefficients of expansions formulae. Numerical applications for real and complex powers are also included , the accuracy of the computed values are at least of order . While the applications for positive integer powers are given as exact analytical expressions.
TL;DR: In this paper, the nonlinear Lyapunov stability of the conduction-diusion solution in a layer of a rotating Newtonian fluid, heated and salted from below, was studied.
Abstract: In this paper we study the nonlinear Lyapunov stability of the conduction-diusion solution in a layer of a rotating Newtonian uid, heated and salted from below. If we reformulate the nonlinear stability problem, projecting the ini- tial perturbation evolution equations on some suitable orthogonal sub- spaces, we preserve the contribution of the Coriolis term, and jointly all the nonlinear terms vanish. We prove that, if the principle of exchange of stabilities holds, the linear and nonlinear stability bounds are equal. We nd that the non- linear stability bound is nothing else but the critical Rayleigh number obtained solving the linear instability problem.
TL;DR: The definition of fuzzy distance space on fuzzy set is introduced and several properties of this space are discussed after some illustrative examples are given.
Abstract: In this paper we introduce the definition of fuzzy distance space on fuzzy set then we study and discuss several properties of this space after some illustrative examples are given . Furthermore we introduce the definition of fuzzy convergence, fuzzy Cauchy sequence of fuzzy point and fuzzy bounded fuzzy distance space .
TL;DR: In this paper, Abel uniform convergence and Abel pointwise convergence of series of real functions were studied and a series of functions is called Abel uniformly convergent to a function if for each " > 0 there is a _ > 0 such that jf x (t ) f ( t ) j 0 there was a _ ( "; t ) such that for 1 ���� x < 1 jf X (t) �(t ) √ f( t) √ j √ x( t ) �
Abstract: In this paper, we are concerned with Abel uniform convergence and Abel pointwise convergence of series of real functions where a series of functions Σ f n is called Abel uniformly convergent to a function f if for each " > 0 there is a _ > 0 such that jf x ( t ) f ( t ) j 0 there is a _ ( "; t ) such that for 1 _ < x < 1 jf x ( t ) f ( t ) j < ":
TL;DR: The experiment result shows that the proposed new algorithm can get high peak signal to noise ratio, visual effect is very good image and the feasibility of this method is proved by the experimental results.
Abstract: Aiming at the limitations of the wavelet transform in image denoising, this paper proposes a new image denoising algorithm based on curvelet transform mathematical method. In this paper, the feasibility of this method is proved by the experimental results. The experiment result shows that, using the proposed new algorithm can get high peak signal to noise ratio, visual effect is very good image.
TL;DR: In this article, a new direction has been presented between the subject of domain theory and fuzzy normed spaces to introduce the so called fuzzy domain normed space and proved some results related to this subject concerning the completeness of such spaces.
Abstract: In this paper, a new direction has been presented between the subject of domain theory and fuzzy normed spaces to introduce the so called fuzzy domain normed spaces and proved some results related to this subject concerning the completeness of such spaces.domain
TL;DR: In this paper, a direct proof of sandwich-type theorems for linear invariant partially ordered vector space operators in the setting of convexity is given, and equivalence results between sandwich, Hahn-Banach, separation and Krein-type extension theorem, Fenchel duality, Farkas and Kuhn-Tucker-type minimization results and subdifferential formulas in the context of invariance are derived.
Abstract: We give a direct proof of sandwich-type theorems for linear invariant partially ordered vector space operators in the setting of convexity. As consequences, we deduce equivalence results between sandwich, Hahn-Banach, separation and Krein-type extension theorems, Fenchel duality, Farkas and Kuhn-Tucker-type minimization results and subdifferential formulas in the context of invariance. As applications, we give Tarski-type extension theorems and related examples for vector lattice-valued invariant probabilities, defined on suitable kinds of events.
TL;DR: In this paper, the homotopy perturbation method is used to derive the explicit approximate solutions for the time-fractional coupled Burger's equations, and the results reveal that the proposed method is very effective and simple.
Abstract: In this paper, the homotopy perturbation method is implemented to derive the explicit approximate solutions for the time-fractional coupled Burger's equations. The including fractional derivative is in the Caputo sense. Special attention isgiven to prove the convergence of the method. The results are compared with those obtained by the exact at special cases of the fractional derivatives. The results reveal that the proposed method is very effective and simple.
TL;DR: In this paper, the uniqueness of solution for nonlinear implicit fractional differential equation with initial condition involving Caputo fractional derivative is studied. The technique used in their analysis is based on an application of Bihari and Medved inequalities.
Abstract: We study the uniquenessof solutionfor nonlinear implicit fractional differential equation with initial condition involving Caputo fractional derivative. The technique used in our analysis is based on an application of Bihari and Medved inequalities.
TL;DR: In this article, it was shown that the probability space for stochastic processes described in literature as without probability space does not exist, and the second hipothesis is true.
Abstract: Getting acquainted with the theory of stochastic processes we can read the following statement: "In the ordinary axiomatization of probability theory by means of measure theory, the problem is to construct a sigma-algebra of measurable subsets of the space of all functions, and then put a finite measure on it". The classical results for limited stochastic and intensity matrices goes back to Kolmogorov at least late 40-s. But for some infinity matrices the sum of probabilities of all trajectories is less than 1.Some years ago I constructed physical models of simulation of any stochastic processes having a stochastic or an intensity matrices and I programmed it. But for computers I had to do some limitations - set of states at present time had to be limited, at next time - not necessarily. If during simulation a realisation accepted a state out of the set of limited states - the simulation was interrupted. I saw that I used non-quadratic, half-infinity stochastic and intensity matrices and that the set of trajectories was bigger than for quadratic ones. My programs worked good also for stochastic processes described in literature as without probability space. I asked myself: did the probability space for these experiments not exist or were only set of events incompleted? This paper shows that the second hipothesis is true.
TL;DR: In this article, the authors studied the growth of entire functions represented by homogeneous polynomials of two complex variables, and the characterizations of their order and type have been obtained.
Abstract: In this paper we study the growth of entire functions represented by homogenous polynomials of two complex variables. The characterizations of their order and type have been obtained
TL;DR: In this article, the authors studied the long time behavior of solutions to the initial boundary value problem (IBVP) for a class of Kirchhoff models and established the well-posedness, the existence of the global attractor in natural energy space X1.
Abstract: The paper studies the long time behavior of solutions to the initial boundary value problem(IBVP) for a class of Kirchhoff models. We establish the well-posedness, the existence of the global attractor in natural energy space X1.