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.

ABSTRACT

Study of Nonlocal Boundary Value Problems of Non-Integer Order Hybrid Differential Equations

Journal: Matrix Science Mathematic (MSMK)
Author: Samina, Kamal Shah and 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.01.2017.21.24

We study sufficient conditions for existence and uniqueness of solutions to boundary value problems (BVPs) for fractional hybrid differentialequations(FHDEs) of the form 

ABSTRACT

New Types of Fuzzy Interior Ideals of Ordered Semigroups Based on Fuzzy Points

Journal: Matrix Science Mathematic (MSMK)
Author: Faiz Muhammad Khan, Nor Haniza Sarmin, Asghar Khan and Hidayat Ullah 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.01.2017.25.33

ABSTRACT

Jackknife Replication Variance Estimation of Population Total Under Systematic Sampling With Varying Probabilities

Journal: Matrix Science Mathematic (MSMK)
Author: Khadija Fatima, Zahoor Ahmed and Abeeda Fatima

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.01.2017.34.39

ABSTRACT

Education-Job Mismatch among Graduates of Administrative Staff: A Case Study of University of Gujrat

Journal: Matrix Science Mathematic (MSMK)
Author: Amna Qadeer and Khadija Fatima

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.01.2017.40.44