ABSTRACT

WEIGHTED TECHNIQUE FOR FINITE ELEMENT GRADIENT RECOVERY AT BOUNDARY

Journal: Matrix Science Mathematic (MSMK)
Author: Y. Kashwaa, A. Elsaid, M. El-Agamy

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.02.2019.27.31

ABSTRACT

Construction of right nuclear square loop

Journal: Matrix Science Mathematic (MSMK)

Author: Amir Khan, Tahir Khan, Hidayat Ullah Khan, Gul Zaman

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.02.2017.01.03

Right nuclear square loops are loops satisfying y zz))==(xy)(zz). We construct an infinite family of non-associative non-commutative right nuclear square loops whose smallest member is of order 12.

ABSTRACT

On left alternative loops

Journal: Matrix Science Mathematic (MSMK)
Author: Amir Khan, Mehtab Khan, Hidayat Ullah Khan, Gul Zaman

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.02.2017.04.05

Left alternative loops are loops satisfying (xy)=(xx)y. We construct an infinite family of non-associative non-commutative left alternative loops whose smallest member is of order

ABSTRACT

Multigrid solution for the cauchy problem associated with helmholtz type equation on non uniform grids

Journal: Matrix Science Mathematic (MSMK)
Author: Fazal Ghaffar, Noor Badshah, S. Islam

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.02.2017.06.10

In this paper, an HOC scheme with multigrid algorithm is developed for solving the Cauchy problem associated with two dimensional Helmholtz type equations. The suggested scheme has up to fourth order accuracy. Lastly, some numerical experiments are given to show the accuracy and performance of the proposed scheme.

ABSTRACT

On coupled system of nonlinear hybrid differential equation with arbitrary order

Journal: Matrix Science Mathematic (MSMK)
Author: Sajad Ali Khan, Kamal Shah, Rahmat Ali Khan

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.02.2017.11.16

This paper is devoted to the study of the existence of solution to the following toppled system:

Where stands for Cupoto fractional derivative of order α where 1< α ≤ 2, J=[0,1], and the functions ƒ : J x R x R → R,ƒ(0,0) and g : J x R x R → R satisfy certain conditions. The proof of the existence theorem is based on a coupled fixed-point theorem of Krasnoselskii type, which extends a fixed-point theorem of Burton. Finally, our results are illustrated by a concrete example.

ABSTRACT

On applications of coupled fixed point theorem in hybrid differential equations of arbitrary order

Journal: Matrix Science Mathematic (MSMK)
Author: Muhammad Shaob, Kamal Shah, Rahmat Ali Khan

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.02.2017.17.21

In this manuscript, we use fixed point theorem due to Bashiri theory and develop sufficient conditions for existence of solution of coupled system of fractional differential equation in Banach space.

ABSTRACT

Intuitionistic fuzzy interior ideal of semigroup based on intuitionistic fuzzy point

Journal: Matrix Science Mathematic (MSMK)
Author: Hidayat Ullah Khan, Nor Haniza Sarmin, Asghar Khan, and Faiz Muhammad Khan and Muhammad Taj

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.02.2017.22.26

The intuitionistic fuzzification of the notion of an interior ideal in ordered semigroups is considered. The purpose of this study is to introduce the notion of (∈, ∈ vq)-intuitionistic fuzzy interior ideals and (∈, ∈)-intuitionistic fuzzy nterior ideals of semigroups. The important milestone of the present paper is to link ordinary intuitionistic fuzzy interior ideals, (∈, ∈)-intuitionistic fuzzy interior ideals and (∈, ∈ vq)-intuitionistic fuzzy interior ideals. Moreover, semigroups are characterized by the properties of these new notions.

ABSTRACT

Existence and Uniqueness of Common Fixed Point for Mappings Satisfying Integral Type Contractive Conditions in G-Metric Spaces

Journal: Matrix Science Mathematic (MSMK)

Author: Muhammad Shoaib, Muhammad Sarwar, Sultan Hussain and Gohar Ali

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.01.2017.01.08

We establish common fixed point results for two self-mappings satisfying integral type contractive conditions in the framework of complete G-metric spaces. The established results generalize and extend many results in the existing literature. Moreover, we provide some comparative examples to show that our results are substantial improvements of some known results in literature.

ABSTRACT

Generalized Bi-ideal of Ordered Semigroup Related to Intuitionistic Fuzzy Point

Journal: Matrix Science Mathematic (MSMK)
Author: Hidayat Ullah Khan, Asghar Khan and Faiz Muhammad Khan and Yongjin Li

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.01.2017.09.15

Intuitionistic fuzzy generalized bi-ideals play an important role in the study of ordered semigroups. In this paper, we try obtain more general form of intuitionistic fuzzy generalized bi-ideal of an ordered semigroup. The concept of (∈, ∈ ∨q_k)-intuitionistic fuzzy generalized bi-ideal is introduced and several related properties are investigated. We show that in regular and left weakly regular ordered semigroups the concepts of (∈, ∈ ∨q_k)-intuitionistic fuzzy generalized biideal and (∈, ∈ ∨q_k)-intuitionistic fuzzy bi-ideal coincide.

ABSTRACT

Investigating at Least One Solution to a Systems of Multi-Points Boundary Value Problems

Journal: Matrix Science Mathematic (MSMK)
Author: Kamal Shah and Samia Bushnaq

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

DOI: 10.26480/msmk.01.2017.16.20

Current article is concerned with the investigating a coupled systems of boundary value problems(BVPs) of fractional order differential equations(FDEs). By means of classical fixed point theorems, we prove the existence and uniqueness of positive solution. We include a numerical problem to verify the investigated results.