scholarly journals On the Sumudu Transform and Its Extension to a Class of Boehmians

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
S. K. Q. Al-Omari
Keyword(s):  
Integral Transforms ◽  
Algebraic Construction ◽  
Inverse Transform ◽  
Sumudu Transform

Boehmians are used for all objects obtained by an algebraic construction similar to that of the field of quotients. In literature, several integral transforms have been extended to various Boehmian spaces but a few to the space of strong Boehmians. As shown in the work of Al-Omari (2013), this work describes certain spaces of Boehmians. The Sumudu transform is therefore established and it is one-one and continuous in the space of Boehmians. The inverse transform is given and some results are also discussed.

scholarly journals Dualities between Elzaki Transform and Some Useful Integral Transforms

2019 ◽  
Vol 8 (12) ◽  
pp. 4312-4318 ◽  
Keyword(s):  
Heat Transfer ◽  
Laplace Transform ◽  
Integral Transforms ◽  
Second Law ◽  
Electrical Networks ◽  
Carbon Dating ◽  
Motion Signal ◽  
Sumudu Transform ◽  
Basic Functions ◽  
Bending Of Beams

Integral transforms have wide applications in the various disciplines of engineering and science to solve the problems of heat transfer, springs, mixing problems, electrical networks, bending of beams, carbon dating problems, Newton’s second law of motion, signal processing, exponential growth and decay problems. In this paper, we will discuss the dualities between Elzaki transform and some useful integral transforms namely Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Mahgoub (Laplace-Carson) transform, Mohand transform and Sawi transform. To visualize the importance of dualities between Elzaki transform and mention integral transforms, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Mahgoub transform, Mohand transform and Sawi transform) of mostly used basic functions by using mention dualities relations. Results show that the mention integral transforms are strongly related with Elzaki transform

scholarly journals Dualities between Mohand Transform and Some Useful Integral Transforms

2019 ◽  
Vol 8 (3) ◽  
pp. 843-847
Keyword(s):  
Signal Processing ◽  
Laplace Transform ◽  
Exponential Growth ◽  
Integral Transforms ◽  
Second Law ◽  
Electrical Networks ◽  
Carbon Dating ◽  
Sumudu Transform ◽  
Basic Functions ◽  
Bending Of Beams

Integral transforms have wide applications in the different areas of engineering and science to solve the problems of springs, Newton’s law of cooling, electrical networks, bending of beams, mixing problems, signal processing, carbon dating problems, Newton’s second law of motion, exponential growth and decay problems. In this paper, we will discuss the dualities of some useful integral transforms namely Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub (Laplace- Carson) transform and Sawi transform with Mohand transform. To visualize the importance of dualities between Mohand transform and mention integral transforms, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub transform and Sawi transform) of mostly used basic functions by using mention dualities relations.

scholarly journals Connections between Aboodh Transform and Some Effective Integral Transforms

2019 ◽  
Vol 9 (1) ◽  
pp. 1465-1470
Keyword(s):  
Heat Transfer ◽  
Signal Processing ◽  
Laplace Transform ◽  
Integral Transforms ◽  
Research Paper ◽  
Electrical Networks ◽  
Sumudu Transform ◽  
Transfer Problems ◽  
Bending Of Beams

Integral transforms are the most useful techniques of the mathematics which are used to finding the solution of heat transfer problems, mixing problems, electrical networks, bending of beams, signal processing problems, which generally appears in the various disciplines of engineering and sciences. In this research paper, connections between Aboodh transform and some effective integral transforms (Laplace transform, Kamal transform, Elzaki transform, Sumudu transform, Mahgoub transform, Mohand transform and Sawi transform) are discussed and integral transforms of some typical functions are given in table form in application section to signify the fruitfulness of connections between Aboodh transform and some effective mention integral transforms.

scholarly journals Evaluation of inverse integral transforms for undergraduate physics students

2012 ◽  
Vol 90 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Aaron Farrell ◽  
Brandon P. van Zyl ◽  
Zachary MacDonald
Keyword(s):  
Nuclear Physics ◽  
Complex Analysis ◽  
Integral Transforms ◽  
Simple Approach ◽  
General Representation ◽  
Central Idea ◽  
Physics Students ◽  
Dirac Delta ◽  
Delta Distribution ◽  
Inverse Transform

We provide a simple approach to the analytical evaluation of inverse integral transforms that does not require any knowledge of complex analysis. The central idea behind our method is to reduce the inverse transform to the solution of an ordinary differential equation. We illustrate the utility of our approach by providing examples of the evaluation of transforms without the use of tables. We also demonstrate how the method may be used to obtain a general representation of a function in the form of a series involving the Dirac delta distribution and its derivatives, which has applications in quantum mechanics, semiclassical, and nuclear physics.

scholarly journals Integral transforms of (p,s,k) Mittag-Leffler function pEρ,sk,θ,θ(z)

2021 ◽  
Vol 9 (1) ◽  
pp. 562-568
Author(s):  
Preeti Chhattry, Shobha Shukla, Subhash Chandra Shrivastava
Keyword(s):  
Integral Representation ◽  
Integral Transforms ◽  
Special Cases ◽  
Sumudu Transform

In this paper, we evaluate Melin-Barnes integral representation of (p,s,k) Mittag Leffler function. Sumudu transform have been used in the generaliztion of Mittag Leffler function Also we establish some corollary of a special cases. Some new result are our finding.

scholarly journals On Integral Transforms and Matrix Functions

2011 ◽  
Vol 2011 ◽  
pp. 1-15
Author(s):  
Hassan Eltayeb ◽  
Adem Kılıçman ◽  
Ravi P. Agarwal
Keyword(s):  
Differential Equation ◽  
Integral Transforms ◽  
General Linear ◽  
Viscous Damping ◽  
Matrix Functions ◽  
Vibration System ◽  
Elementary Matrix ◽  
Vibrating System ◽  
System A ◽  
Sumudu Transform

The Sumudu transform of certain elementary matrix functions is obtained. These transforms are then used to solve the differential equation of a general linear conservative vibration system, a vibrating system with a special type of viscous damping.

scholarly journals Role of Some Integral Transforms in Cryptography

2020 ◽  
Vol 9 (3) ◽  
pp. 376-380
Keyword(s):  
Laplace Transform ◽  
Integral Transforms ◽  
Cosine Function ◽  
Cipher Text ◽  
Encryption And Decryption ◽  
Sumudu Transform

There are so many methods for the process of cryptography in literature. In this paper we present encryption and decryption method by using Laplace transform &Sumudu transform and their inverses. The purpose of using this method is for more security in communication as compared to other methods because cipher text obtained by this method could not be cracked by other persons easily. In the first part we apply Laplace transform to trigonometric cosine function for Sumudu transform for the same purpose.Fiinally we conclude by comparing these two methods

scholarly journals Dualities between Laplace Transform and Some Useful Integral Transforms

2019 ◽  
Vol 9 (1) ◽  
pp. 936-941 ◽  
Keyword(s):  
Heat Transfer ◽  
Laplace Transform ◽  
Integral Transforms ◽  
Second Law ◽  
Electrical Networks ◽  
Carbon Dating ◽  
Motion Signal ◽  
Sumudu Transform ◽  
Basic Functions ◽  
Bending Of Beams

Integral transforms have wide applications in the various disciplines of engineering and science to solve the problems of heat transfer, springs, mixing problems, electrical networks, bending of beams, carbon dating problems, Newton’s second law of motion, signal processing, exponential growth and decay problems. In this paper, we will discuss the dualities between Laplace transform and some useful integral transforms namely Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub (Laplace-Carson) transform, Mohand transform and Sawi transform. To visualize the importance of dualities between Laplace transform and mention integral transforms, we give tabular presentation of the integral transforms (Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub transform, Mohand transform and Sawi transform) of mostly used basic functions by using mention dualities relations. Results show that the mention integral transforms are strongly related with Laplace transform.

scholarly journals Dualities between Some Useful Integral Transforms and Sawi Transform

2019 ◽  
Vol 8 (3) ◽  
pp. 5978-5982
Keyword(s):  
Signal Processing ◽  
Laplace Transform ◽  
Exponential Growth ◽  
Integral Transforms ◽  
Electrical Networks ◽  
Carbon Dating ◽  
Newton’S Law ◽  
Sumudu Transform ◽  
Basic Functions ◽  
Bending Of Beams

Integral transforms have a number of applications in the different fields of engineering and science to solve the problems of Newton’s law of cooling, signal processing, electrical networks, bending of beams, springs, mixing problems, carbon dating problems exponential growth and decay problems. In this paper, we will discuss the dualities of some useful integral transforms namely Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub (Laplace-Carson) transform and Mohand transform with Sawi transform. To visualize the importance of dualities between mention integral transforms with Sawi transform, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub transform and Mohand transform) of mostly used basic functions by using mention dualities relations. Results show that the mention integral transforms are strongly related to each others

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