-
A Comparative Study Between Laplace Transform and Two New Integrals “ELzaki” Transform and “Aboodh” Transform
Abdelbagy A. Alshikh,
Mohand M. Abdelrahim Mahgob
Issue:
Volume 5, Issue 5, October 2016
Pages:
145-150
Received:
7 August 2016
Accepted:
20 August 2016
Published:
7 September 2016
Abstract: In this paper we discuss some relationship between Laplace transform and the new two transform called ELzaki transform and Aboodh transform. We solve first and second order ordinary differential equations using both transforms, and show that ELzaki transform and Aboodh transform are closely connected with the Laplace transform.
-
An Application of the New Integral “Aboodh Transform” in Cryptography
Abdelilah K. Hassan Sedeeg,
Mohand M. Abdelrahim Mahgoub,
Muneer A. Saif Saeed
Issue:
Volume 5, Issue 5, October 2016
Pages:
151-154
Received:
7 August 2016
Accepted:
23 August 2016
Published:
9 September 2016
Abstract: Cryptography is the science of providing security for information, It has been used historically as a means of providing secure communication between individuals. Message encryption has become very essential to avoid the threat against possible attacks by hackers during transmission process of the message. In this paper authors have proposed a method of cryptography, in which authors have used Aboodh transform for encrypting the plain text and corresponding inverse Aboodh transform for decryption.
Abstract: Cryptography is the science of providing security for information, It has been used historically as a means of providing secure communication between individuals. Message encryption has become very essential to avoid the threat against possible attacks by hackers during transmission process of the message. In this paper authors have proposed a meth...
Show More
-
A Note on Strict Commutativity of a Monoidal Product
Issue:
Volume 5, Issue 5, October 2016
Pages:
155-159
Received:
25 August 2016
Accepted:
5 September 2016
Published:
21 September 2016
Abstract: It is well known that a monoidal category is (monoidally) equivalent to a strict monoidal category that is a monoidal category with a strictly associative product. In this article, we discuss strict commutativity and prove a necessary and sufficient condition for a symmetric monoidal category to be equivalent to another symmetric monoidal category with a strictly commutative monoidal product.
Abstract: It is well known that a monoidal category is (monoidally) equivalent to a strict monoidal category that is a monoidal category with a strictly associative product. In this article, we discuss strict commutativity and prove a necessary and sufficient condition for a symmetric monoidal category to be equivalent to another symmetric monoidal category ...
Show More
-
Inverse Vector Function Hilbert Boundary Value Problem
Issue:
Volume 5, Issue 5, October 2016
Pages:
160-164
Received:
28 August 2016
Accepted:
9 September 2016
Published:
28 September 2016
Abstract: In the paper, how to solve an irregular vector function Hilbert boundary value inverse problem is discussed in generalization. In the solving, some diagonal matrices are introduced for helping to regulate those equations of Hilbert boundary value problem. Then, the solution of the problem is given.
-
Pentacyclic Harmonic Graph
Ahmad Salehi Zarrin Ghabaei,
Shahroud Azami
Issue:
Volume 5, Issue 5, October 2016
Pages:
165-173
Received:
28 August 2016
Accepted:
8 September 2016
Published:
11 October 2016
Abstract: Let
![](“http://article.sciencepublishinggroup.com/journal/247/2470985/image001.gif")
be a graph on n vertices
![](“http://article.sciencepublishinggroup.com/journal/247/2470985/image002.gif")
and let
![](“http://article.sciencepublishinggroup.com/journal/247/2470985/image003.gif")
be the degree of vertex
![](“http://article.sciencepublishinggroup.com/journal/247/2470985/image004.gif")
A graph
is defined to be harmonic if
![](“http://article.sciencepublishinggroup.com/journal/247/2470985/image005.gif")
is an eigenvector of the
![](“http://article.sciencepublishinggroup.com/journal/247/2470985/image006.gif")
-adjacency matrix of
![](“http://article.sciencepublishinggroup.com/journal/247/2470985/image007.gif")
We now show that there are 4 regular and 45 non-regular connected pentacyclic harmonic graphs and determine their structure. In the end we conclude that all of c-cyclic harmonic graphs for
![](“http://article.sciencepublishinggroup.com/journal/247/2470985/image008.gif")
are planar graphs.
