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 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

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 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 Laplace-Carson Transform and Some Useful Integral Transforms

2019 ◽  
Vol 8 (12) ◽  
pp. 1654-1659
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-Carson transform and some useful integral transforms namely Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Elzaki transform, Mohand transform and Sawi transform. To visualize the importance of dualities between Laplace-Carson transform and mention integral transforms, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Elzaki 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-Carson transform.

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 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 Integral Transform Methods for Solving Fractional Dynamic Equations on Time Scales

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Mohamad Rafi Segi Rahmat
Keyword(s):  
Laplace Transform ◽  
Time Scales ◽  
Time Scale ◽  
Integral Transform ◽  
Integral Transforms ◽  
Dynamic Equations ◽  
Transform Methods ◽  
Sumudu Transform ◽  
General Time

We introduce nabla type Laplace transform and Sumudu transform on general time scale. We investigate the properties and the applicability of these integral transforms and their efficiency in solving fractional dynamic equations on time scales.

INTEGRAL TRANSFORM OF K4-FUNCTION

2021 ◽  
Vol 21 (2) ◽  
pp. 429-436
Author(s):  
SEEMA KABRA ◽  
HARISH NAGAR
Keyword(s):  
Laplace Transform ◽  
Hypergeometric Function ◽  
Integral Transform ◽  
Integral Transforms ◽  
Gauss Hypergeometric Function ◽  
Wright Function ◽  
Generalized Wright Function ◽  
Special Cases ◽  
Euler Transform

In this present work we derived integral transforms such as Euler transform, Laplace transform, and Whittaker transform of K4-function. The results are given in generalized Wright function. Some special cases of the main result are also presented here with new and interesting results. We further extended integral transforms derived here in terms of Gauss Hypergeometric function.

scholarly journals Sumudu transform fundamental properties investigations and applications

2006 ◽  
Vol 2006 ◽  
pp. 1-23 ◽  
Author(s):  
Fethi Bin Muhammed Belgacem ◽  
Ahmed Abdullatif Karaballi
Keyword(s):  
Problem Solving ◽  
Differential Equations ◽  
Laplace Transform ◽  
Frequency Domain ◽  
Paradigm Shift ◽  
Complex Formulation ◽  
Fundamental Properties ◽  
The Laplace Transform ◽  
Sumudu Transform ◽  
Sumudu Transforms

The Sumudu transform, whose fundamental properties are presented in this paper, is still not widely known, nor used. Having scale and unit-preserving properties, the Sumudu transform may be used to solve problems without resorting to a new frequency domain. In 2003, Belgacem et al have shown it to be the theoretical dual to the Laplace transform, and hence ought to rival it in problem solving. Here, using the Laplace-Sumudu duality (LSD), we avail the reader with a complex formulation for the inverse Sumudu transform. Furthermore, we generalize all existing Sumudu differentiation, integration, and convolution theorems in the existing literature. We also generalize all existing Sumudu shifting theorems, and introduce new results and recurrence results, in this regard. Moreover, we use the Sumudu shift theorems to introduce a paradigm shift into the thinking of transform usage, with respect to solving differential equations, that may be unique to this transform due to its unit-preserving properties. Finally, we provide a large and more comprehensive list of Sumudu transforms of functions than is available in the literature.

A proof of characterisation of oscillation for higher-order neutral differential equations of mixed type by the Laplace transform

1994 ◽  
Vol 124 (5) ◽  
pp. 909-916 ◽  
Author(s):  
O. Arino ◽  
M. A. El Attar
Keyword(s):  
Differential Equations ◽  
Laplace Transform ◽  
General Expression ◽  
Exponential Growth ◽  
Mixed Type ◽  
Deviating Arguments ◽  
Neutral Differential Equations ◽  
Equations Of Mixed Type ◽  
The Laplace Transform ◽  
Image Position

Consider the general expression of such equations in the formwhere Ai, Bj, ∊ ℝ, δo = 0 dn/ 0, dn are n-derivatives, n ≧ l, the σj'S and δj,'s respectively, are ordered as an increasing family with possibly positive and negative terms. These are the deviating arguments. In this paper, we provide a proof of this result based on the use of the Laplace transform. Our method involves new results regarding the exponential growth of positive solutions for such equations.

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