Authors:Vakkas Uluçay; Mehmet Şahin; Necati Olgun; Adem Kilicman Pages: 379 - 388 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:Ghania Khenniche; Pierre Spiteri; Salah Bouhouche; Hocine Sissaoui Pages: 417 - 441 Abstract: The present study deals with the numerical simulation of steel solidification in continuous casting. We consider a semi-discretization with respect to the time of the studied evolution problem; then we have to solve a sequence of stationary coupled problems. So, due to the fact that the temperature is assumed to be positive, after reformulation of the problem into a variational inequality, we study under appropriate assumptions the existence and uniqueness of the solution of the stationary coupled problems. We also consider a multivalued formulation of the same problem which allows to analyze the behavior of the iterative relaxation algorithms used for the solution of the discretized problems. Finally the numerical experiments are presented. PubDate: 2017-06-01 DOI: 10.1007/s13370-016-0454-8 Issue No:Vol. 28, No. 3-4 (2017)

Authors:T. A. Biala; S. N. Jator; R. B. Adeniyi Pages: 443 - 450 Abstract: In this work, we study the performance of boundary value methods (BVMs) discussed in Biala [10] and Biala et al. [11] in combination with the method of lines on second order PDEs. The method of lines converts the PDEs into an equivalent system of second order ordinary differential equations. The performance of BVMs on the semi-discretized system is evidenced by a few numerical examples. PubDate: 2017-06-01 DOI: 10.1007/s13370-016-0458-4 Issue No:Vol. 28, No. 3-4 (2017)

Authors:Khaled Mehrez Pages: 451 - 457 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: 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:Zahra Barati Pages: 505 - 514 Abstract: In this paper, we consider the problem of planarity and outerplanarity of iterated line graphs of the zero divisor graphs for finite commutative rings. We give a full characterization of all zero divisor graphs with respect to their planarity and outerplanarity indexes. PubDate: 2017-06-01 DOI: 10.1007/s13370-016-0460-x Issue No:Vol. 28, No. 3-4 (2017)

Authors:Maggie Aphane; Seithuti Moshokoa Pages: 549 - 553 Abstract: In the note we discuss partial metric type structures and present their basic properties as well as their relationship with metric type structures. As an application, fixed point theorems for a Lipschitzian map on this structures will be presented. PubDate: 2017-06-01 DOI: 10.1007/s13370-016-0467-3 Issue No:Vol. 28, No. 3-4 (2017)

Authors:Mohd Arif Raza; Nadeem Ur Rehman Pages: 555 - 561 Abstract: Let R be a prime ring of characteristic different from two with center Z(R). In the present paper we study the case when a generalized derivation F associated with a nonzero derivation d of R satisfies \([F([x, y]_k), [x, y]_k]\in Z(R)\) for all x, y in some appropriate subset of R, where k is a fixed positive integer. We obtain a description of the structure of R and information on the form of F in terms of the standard identity \(s_4\) and the multiplication by the specific element from the extended centroid. PubDate: 2017-06-01 DOI: 10.1007/s13370-016-0465-5 Issue No:Vol. 28, No. 3-4 (2017)

Authors:Appolinaire Dossavi-Yovo; Bo He; Alain Togbé Pages: 563 - 574 Abstract: In this paper, we consider the \(D(\pm k)\) -triple \(\{k\mp 1,k, 4k\mp 1\}\) and we prove that, if k is not a perfect square then: There is no d such that \(\{k-1,k, 4k-1, d\}\) is a D(k)-quadruple; If \(\{k,k+1,4k+1,d \}\) is a \(D(-k)\) -quadruple, then \(d=1\) . This extends a work done by Fujita [13]. PubDate: 2017-06-01 DOI: 10.1007/s13370-016-0466-4 Issue No:Vol. 28, No. 3-4 (2017)

Authors:M. E. Okpala Pages: 595 - 604 Abstract: In this paper we introduce a new general class of multi-valued Lipschitz hemicontractive mappings. We then prove strong convergence theorems for finding a fixed point of the mapping using a new two steps averaged algorithm. The method used in the proof is new and enables us to systematically avoid so many strong assumptions in the contemporary literature. The theorems obtained generalize and improve many results in the literature. PubDate: 2017-06-01 DOI: 10.1007/s13370-016-0468-2 Issue No:Vol. 28, No. 3-4 (2017)

Authors:N. Subramanian Pages: 615 - 628 Abstract: Let X be a Banach lattice and \(\chi ^{2}_{f}\) be an double gai Orlicz sequence space associated to an Orlicz function with the \(\Delta _{2}\) - condition. In this paper we define the Ces \(\grave{\mathbf{a }}\) ro \(\chi ^{2}\) sequence space Ces \(_{p}^{q}\left( \chi ^{2}_{f}\right) \) generated by a Orlicz sequence space and exhibit some general properties of the spaces. PubDate: 2017-06-01 DOI: 10.1007/s13370-016-0469-1 Issue No:Vol. 28, No. 3-4 (2017)

Authors:Julio C. Ramos-Fernández; Margot Salas-Brown Pages: 661 - 667 Abstract: We present some characterizations for the multiplication operators \(M_u\) with finite range when acts on any Köthe sequence spaces. we also characterize its compactness and Fredholmness. Our characterizations are presented in terms of certain properties of the zeros set and the support of the symbol u. PubDate: 2017-06-01 DOI: 10.1007/s13370-016-0475-3 Issue No:Vol. 28, No. 3-4 (2017)

Authors:N. Kouhestani; S. Mehrshad 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: 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: 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: 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: 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: 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: 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