Legendre Seudospectral Method For The Approximate Solutions Some Of The Fractional-Order Differential Equations

Vol. 2 No. 2

Year: 2013

Issue : Apr-Jun

Title : Legendre Seudospectral Method For The Approximate Solutions Some Of The Fractional-Order Differential Equations

Author Name : Zeliha SARIATES KÖRPINAR, Münevver TUZ

Synopsis :

In this paper, the authors study Legendre Seudospectral Method (LSM) by using fractional ordinary diferential equations. They consider some different differential equations and we obtain numerical simulation with the exact solutions of FDEs.

On The Dual Focal Curves With Dual Parameter In D3

Vol. 2 No. 2

Year: 2013

Issue : Apr-Jun

Title : On The Dual Focal Curves With Dual Parameter In D3

Author Name : Mustafa Yeneroglu, Vedat Asil

Synopsis :

In this paper, the authors study dual focal curves with dual parameters in the Dual 3-space D . They characterize focal curves of dual parameters in terms of their dual focal curvatures.

Analysation of Super Strongly Perfectness in Ladder Graphs

Vol. 2 No. 2

Year: 2013

Issue : Apr-Jun

Title : Analysation of Super Strongly Perfectness in Ladder Graphs

Author Name : Mary Jothi, A. Amutha

Synopsis :

A Graph G is Super Strongly Perfect Graph if every induced subgraph H of G possesses a minimal dominating set that meets all maximal cliques of H. In this paper, the authors have given a characterization of Super Strongly Perfect graphs. Using this characterization they have characterized the Super Strongly Perfect graphs in Ladder graphs. They have investigated the structure of Super Strongly Perfect Graphs in Ladder graphs. Also they have found the relation between domination number, co-domination number and diameter of Ladder Graphs.

Uniformly Stable Continuous Solutions Of A Functional Differential Inclusions

Vol. 2 No. 2

Year: 2013

Issue : Apr-Jun

Title : Uniformly Stable Continuous Solutions Of A Functional Differential Inclusions

Author Name : A.M.A. El-Sayed, Fatma M.Gaffar , Nesreen F.M.El-haddad

Synopsis :

The authors concerned here with the concept and the existence of a uniformly stable continuous solution of the functional differential inclusion dx/dt∈ F(t, x(f(t))) a.e on I = [0, T], t > 0 with the initial condition x(0) = x0. The continuous dependence on the set of selections of the set-valued function F is also studied.

Algorithmic Triangulation Metrics for Innovative Data Transformation: Defining the Application Process of the Tri–Squared Test

Vol. 2 No. 2

Year: 2013

Issue : Apr-Jun

Title : Algorithmic Triangulation Metrics for Innovative Data Transformation: Defining the Application Process of the Tri–Squared Test

Author Name : James E. Osler II

Synopsis :

This monograph provides an epistemological rational for the transformative process of qualitative data into quantitative outcomes through the Tri–Squared Test introduced in an earlier i-Manager's Journal of Mathematics article. A research design geometric algorithmic model of the triangulation of the Transformative Trichotomy–Squared [Tri–Squared] Test as a means of informative inquiry is provided. This novel approach to data analysis simplifies the mixed methods approach to research design that involves the holistic combination and comparison of qualitative and quantitative data. A sequential mathematical model is provided that illustrates the entire process of Tri–Squared inquiry.

On A New Sequence Space Related To Lp

Vol. 2 No. 1

Year: 2013

 
Issue: Jan-Mar

Title : On A New Sequence Space Related To Lp  

Author Name : Cigdem A. BEKTAS, Suzan ZEREN 

Synopsis :  

In this study, we define the new sequence spacel_p^λ (u), whereλ=(λ_k )_(k=0)^∞ is a strictly increasing sequence of positive reals tending to∞,u=(u_n ) is a sequence of positive real numbers andl_p^λ (u)

Probabilistic Analysis of an Evaporator of a Desalination Plant with Inspection

Vol. 2 No. 1

Year: 2013

 
Issue: Jan-Mar

Title : Probabilistic Analysis of an Evaporator of a Desalination Plant with Inspection 

Author Name : S.M. RIZWAN, N. PADMAVATHI , G. Taneja

Synopsis :

The paper presents a probabilistic analysis of an evaporator of a desalination plant. Multi stage flash desalination process is being used for water purification. The desalination plant operates round the clock and many evaporators are in operation for water production. Any major failure/annual maintenance brings the evaporator to a complete halt and stops the production from that evaporator. The evaporator fails due to any one of the six types of failure. An inspection is carried out to detect the type of failure. For the present analysis, seven years maintenance data of a desalination plant has been extracted from the operations and maintenance record of the plant in Oman. An extensive probabilistic analysis of the plant is carried out and the measures of evaporator effectiveness such as mean time to evaporator failure, availability, the expected number of major, minor repairs, replacements, services, and the overall profitability incurred to the evaporator are estimated numerically. The semi-Markov processes and regenerative point techniques are used in the analysis.

Some Characterizations Of Nonnull Slant Helices In R15

Vol. 2 No. 1

Year: 2013

 
Issue: Jan-Mar

Title : Some Characterizations Of Nonnull Slant Helices In R15

   

Author Name : Handan Öztekin, Serpil Tatlipinar

 

Synopsis : 

 

In this paper, necessary and sufficent conditions for nonnull slant helices in Lorentzian space are investigated. Making use of known properities of such curves, different characterizations are obtained as depend on curvatures of these helices in Lorentzian space R₁⁵ .

A New Hilbert-Type Inequality In Whole Plane With The Homogeneous Kernel Of Degree 0

Vol. 2 No. 1

Year: 2013

 
Issue: Jan-Mar

Title : A New Hilbert-Type Inequality In Whole Plane With The Homogeneous Kernel Of Degree 0 

Author Name : Xie Zitian, Zheng Zeng 

Synopsis : 

In this paper, by estimating the weight function, we give a new Hilbert-type inequality in whole plane with the homogeneous kernel of degree 0 . As its applications, we consider the equivalent and a particular result.

Inextensible Flows of Curves According to Sabban Frame in pseudo-Galilean Space

Vol. 2 No. 1

Year: 2013

 
Issue: Jan-Mar

Title : Inextensible Flows of Curves According to Sabban Frame in pseudo-Galilean Space

Author Name : Handan Öztekin, Hülya Gün Bozok

Synopsis :  

In this paper we study inextensible flows of curves in pseudo-Galilean space. We give necessary and sufficient conditions for inextensible flows of curves with Sabban frame in pseudo-Galilean space.