Authors:Vakkas Uluçay; Mehmet Şahin; Necati Olgun; Adem Kilicman Pages: 379 - 388 Abstract: Abstract In this study, using the neutrosophic soft definitions, we define some new concept such as the neutrosophic soft lattice, neutrosophic soft sublattice, complete neutrosophic soft lattice, modular neutrosophic soft lattice, distributive neutrosophic soft lattice, neutrosophic soft chain then we study the relationship and observe some common properties. PubDate: 2017-06-01 DOI: 10.1007/s13370-016-0447-7 Issue No:Vol. 28, No. 3-4 (2017)

Authors:Khaled Mehrez Pages: 451 - 457 Abstract: Abstract In this paper, by using Jensen’s inequality and Chebyshev integral inequality, some generalizations and new refined Hardy type integral inequalities are obtained. In addition, the corresponding reverse relation are also proved. PubDate: 2017-06-01 DOI: 10.1007/s13370-016-0461-9 Issue No:Vol. 28, No. 3-4 (2017)

Authors:Abdulhadi Aminu; Muhammad Aminu; M. Z. Ringim Pages: 481 - 491 Abstract: Abstract The permanent is a matrix function introduced (independently) by Cauchy and Binet and a number of results have so far been proved. In this paper, we extend the concept of permanent into rhotrix and also present a way of finding the permanent of a rhotrix and also establish some results. Rhotrix is an object that lies in some way between \(n\times n\) dimensional matrices and \(( {2n-1})\times (2n-1)\) dimensional matrices. PubDate: 2017-06-01 DOI: 10.1007/s13370-016-0457-5 Issue No:Vol. 28, No. 3-4 (2017)

Authors:Ayşe Zeynep Azak; Melek Masal Abstract: Abstract We have given a generalization of one parameter special Frenet motion to type-2 Bishop motion in Euclidean 3-space \(E^3\) . Type-2 Bishop motion have been defined for space curve \(\beta \) and then type-2 Bishop Darboux vector of this motion has been calculated for fixed and moving spaces in \(E^3\) . Also, we have showed that type-2 Bishop rotation for space curves is decomposed into two simultaneous rotations. One of the axes of this simultaneous rotations is a parallel of the binormal vector of the curve, the other is the direction of the type-2 Bishop Darboux vector of the curve. PubDate: 2017-08-05 DOI: 10.1007/s13370-017-0519-3

Authors:G. Murugusundaramoorthy Abstract: Abstract The purpose of the present paper is to establish connections between various subclasses of analytic univalent functions by applying certain convolution operator involving Poisson distribution series. To be more precise,we investigate such connections with the classes of analytic univalent functions of \(\beta \) -starlike and \(\beta \) -uniformly convex functions of order \(\alpha \) in the open unit disk \({\mathbb {U}}\) . Further we point out some consequences of our main results. PubDate: 2017-08-03 DOI: 10.1007/s13370-017-0520-x

Authors:Pierre Kouadjo Brou; Youssouf M. Diagana Abstract: Abstract Let R be a ring and A a subring of R. Let \(h=\left( \mathcal {M} _{n}\right) _{n\in \mathbb {Z}\cup \left\{ +\infty \right\} }\) be a family of subgroups of an R-module \(\mathcal {M}\) . We say that h is an A-quasi-graduation of \(\mathcal {M}\) if for every \(p\in \mathbb {N}, \mathcal {M}_{p}\) is a sub-A-module of R with \(\mathcal {M}_{\infty }=(0)\) . We present weak notions of J-independence for different extensions of the analytic spread. We show that under some conditions they coincide with \(\lim \nolimits _{n \rightarrow +\infty }\ell _{J}(h^{(n!)},A,k)\) , where, for all integers \(p, h^{(p)} = (\mathcal {M}_{pn})_{n\in \mathbb {Z}\cup \left\{ +\infty \right\} }\) and where \(\ell _J (h^{(p)}, A, k)\) is the maximum number of elements of J which are J-independent of order k with respect to the A-quasi-graduation \(h^{(p)}\) of the R-module \(\mathcal {M}\) . PubDate: 2017-07-28 DOI: 10.1007/s13370-017-0517-5

Authors:Ehmet Kasim; Geni Gupur Abstract: Abstract In this paper we consider an M/G/1 queueing model with single working vacation and vacation interruption. By studying the spectral properties of the corresponding operator we obtain that the time-dependent solution of the model strongly converges to its steady-state solution. PubDate: 2017-07-28 DOI: 10.1007/s13370-017-0518-4

Authors:Ibrahima Bakayoko; Bakary Manga Abstract: Abstract In this paper we introduce modules over both left and right Hom-alternative algebras. We give some constructions of left and right Hom-alternative modules and give various properties of both, as well as examples. Then, we prove that morphisms of left alternative algebras extend to morphisms of left Hom-alternative algebras. Next, we introduce comodules over Hom–Poisson coalgebras and show that we may obtain a structure map of a comodule over a Hom–Poisson coalgebra from a given one. PubDate: 2017-07-27 DOI: 10.1007/s13370-017-0516-6

Authors:Peter V. Danchev Abstract: Abstract We define and completely describe the structure of weakly invo-clean rings possessing identity. We show that these rings are clean but neither weakly nil-clean nor invo-clean, and thus they have some new exotic properties different to those established by Breaz et al. (J Algebra Appl 15, 2016) and Danchev (Commun Korean Math Soc 32:19–27, 2017), respectively. PubDate: 2017-07-20 DOI: 10.1007/s13370-017-0515-7

Authors:Saleem Abdullah; Shah Hussain Abstract: Abstract In this article, a new generalization of intuitionsitic fuzzy bi-ideals of a semigroup considered so called \((\alpha ,\beta )\) -intuitionistic fuzzy bi-ideals, (1, 2)-ideals in a semigroup. We combine the notion of intuitionsitic fuzzy point and intuitionistic fuzzy sets to defined different types of intuitionsitic fuzzy bi-ideals of a semigroups. We investigate different properties of these notions and their relationships, particularly, we define \((\in ,\in \vee q)\) -intuitionistic fuzzy bi-ideals and (1, 2) ideals in semigroups. PubDate: 2017-07-06 DOI: 10.1007/s13370-017-0501-0

Authors:Yuji Liu Abstract: Abstract In this article, existence results of solutions of a class of boundary value problems of nonlinear singular multi-term fractional differential models with impulses on half line involving higher order Riemann–Liouville fractional derivatives are established. Our analysis rely on a well known fixed point theorems. Examples are presented to illustrate the main theorems. PubDate: 2017-07-03 DOI: 10.1007/s13370-017-0505-9

Authors:Aissa Guesmia Abstract: Abstract In this paper, we consider a vibrating system of Timoshenko-type in a bounded one-dimensional domain with discrete time delay and complementary frictional damping and infinite memory controls all acting on the transversal displacement. We show that the system is well-posed in the sens of semigroup and that, under appropriate assumptions on the weights of the delay and the history data, the stability of the system holds in case of the equal-speed propagation as well as in the opposite case in spite of the presence of a discrete time delay, where the decay rate of solutions is given in terms of the smoothness of the initial data and the growth of the relaxation kernel at infinity. The results of this paper extend the ones obtained by the present author and Messaoudi in (Acta Math Sci 36:1–33, 2016) to the case of presence of discrete delay. PubDate: 2017-06-30 DOI: 10.1007/s13370-017-0514-8

Authors:N. Kouhestani; S. Mehrshad Abstract: Abstract In this paper we study separation axioms and connected properties on (semi)topological quotient BCK-algebras. We bring some conditions which under a (semi)topological quotient BCK-algebra have at least one of the topological properties \(T_1,\) Hausdorff, regular, normal, connected, locally connected, totally disconnected space. PubDate: 2017-06-21 DOI: 10.1007/s13370-017-0513-9

Abstract: Abstract In this work, we analyze four finite volume methods for the nonlinear convective Cahn–Hilliard equation with specified initial condition and periodic boundary conditions. The methods used are: implicit one-level, explicit one-level, implicit multilevel and explicit multilevel finite volume methods. The existence and uniqueness of solution, convergence and stability of the finite volume solutions are proved. We compute \(L_2\) - error and rate of convergence for all methods. We then compare the multilevel methods with the one-level methods by means of stability and CPU time. It is shown that the multilevel finite volume method is faster than the one-level method. PubDate: 2017-06-21 DOI: 10.1007/s13370-017-0512-x

Authors:B. Vasudevan; R. Udhayakumar; C. Selvaraj Abstract: Abstract In this paper, we study some properties and behavior of finite Gorenstein FI-flat dimension through the methods of relative homological algebra. PubDate: 2017-06-16 DOI: 10.1007/s13370-017-0508-6

Authors:S. El Ouadih; R. Daher Abstract: Abstract In this paper, using a generalized translation operator, we obtain an analog of Younis’s Theorem 5.2 in Younis (Int J Math Math Sci 9:301–312, 1986) for the generalized Fourier-Bessel transform for functions satisfying the Fourier-Bessel Dini Lipschitz condition in the space \(L_{\alpha ,n}^{2}\) . PubDate: 2017-06-14 DOI: 10.1007/s13370-017-0509-5

Authors:D. Bayrak; S. Yamak Abstract: Abstract Many studies have investigated lattices of fuzzy algebraic systems. One of them belongs to Borzooei et al. (Soft Comput 12:739–749, 2008) who found some properties of lattices of fuzzy algebraic structures. In this study, we solve the problem of finding necessary and sufficient conditions for distributivity and modularity of lattice of fuzzy hyperideals of a hyperring which was one of the open problems in Borzooei’s paper. PubDate: 2017-06-13 DOI: 10.1007/s13370-017-0511-y

Authors:Nipen Saikia; Chayanika Boruah Abstract: Abstract We use Ramanujan’s mixed modular equations to evaluate some new values of the parameter \(J_n\) involving Ramanujan’s theta-function \(f(-q)\) . The values \(J_n\) are then used to evaluate new explicit values of the Ramanujan–Selberg continued fraction. PubDate: 2017-06-10 DOI: 10.1007/s13370-017-0507-7

Authors:Miloud Mihoubi; Mourad Rahmani Abstract: Abstract In this paper, we show that the r-Stirling numbers of both kinds, the r-Whitney numbers of both kinds, the r-Lah numbers and the r-Whitney-Lah numbers form particular cases of a family of polynomials forming a generalization of the partial Bell polynomials. We deduce the generating functions of several restrictions of these numbers. In addition, a new combinatorial interpretations is presented for the r-Whitney numbers and the r-Whitney-Lah numbers. PubDate: 2017-06-09 DOI: 10.1007/s13370-017-0510-z

Authors:Amina Boucenna; Smaïl Djebali; Toufik Moussaoui Abstract: The aim of this work is to present new abstract fixed point theorems in ordered Banach spaces and on Banach algebras. The main existence results generalize Krasnosel’skii’s fixed point theorem of compression and expansion to a class of \(\alpha \) -homogeneous operators and monotone operators. Two applications to nonlinear Hammerstein integral equations, one of which is of fractional order, are provided together with a numerical example. PubDate: 2017-06-07 DOI: 10.1007/s13370-017-0506-8