A New Application of Mahgoub Transform for Solving Linear Ordinary Differential Equations with
Variable Coefficients

Aggarwal, Sudhanshu; Sharma, Nidhi; Chauhan, Raman; Khandelwal, Anjana Rani Gupta and Astha

doi:10.29055/jcms/787

Cited by 15 publications

(17 citation statements)

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“…In the advance time, integral transforms methods (Laplace transform [1][2], Fourier transform [1], Kamal transform [3-9, 36], Mahgoub transform [10][11][12][13][14][15][16], [37][38][39][40], Aboodh transform [21][22][23][24][25][26][41][42][43][44], Elzaki transform [27][28][29][45][46], Sumudu transform [30,[47][48] and Shehu transform [49][50]) are convenient mathematical methods for solving advance problems of engineering and sciences which are mathematically expressed in terms of differential equations, system of differential equations, partial differential equations, integral equations, system of integral equations, partial integro-differential equations and integro differential equations. Recently the comparative study of Mohand and other integral transforms was discussed by Aggarwal et al [31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

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A New Application of Shehu Transform for Handling Volterra Integral Equations of First Kind

Aggarwal¹,

Gupta²,

Sharma³

2019

IJRAT

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Many problems of thermodynamics, nuclear reactor theory, chemotherapy and electrical systems have been described in the form of Volterra integral equations. In this paper, we have given a new application of Shehu transform for handling Volterra integral equations of first kind. In application section of this paper, some numerical applications are given to explain the importance of Shehu transform for handling Volterra integral equations of first kind. The results show that Shehu transform is a very useful integral transform for handling Volterra integral equations of first kind.

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Section: Introductionmentioning

confidence: 99%

“…These mention two conditions are the only sufficient conditions for the existence of Shehu transform of the function ( ). The Volterra integral equation of first kind is given by [7,14,24,27]…”

Section: Introductionmentioning

confidence: 99%

A New Application of Shehu Transform for Handling Volterra Integral Equations of First Kind

Aggarwal¹,

Gupta²,

Sharma³

2019

IJRAT

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“…Most of the integral transforms are applied to solve the differential equation. For example Kamal transform [1,2,11] Mahgoub transform [3] is used for solving the problems of population growth and decay, Linear voltera integral equation, coupled system of nonlinear partial differential equations. Elzaki transform [14] is used for solving Abel integral equation.…”

Section: Introductionmentioning

confidence: 99%

On Double Natural Transform of Boehmians

Mahajan*,

Chaudhary

2020

IJRTE

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In this paper we are going to define the Double Natural transform of Bounded support and we develop this theory with the help of Zemanian technique. Here we are going to define the Integrable Boehmian and the main focus or objective of this paper is to define Double Natural transform for Integrable Boehmian, and this theory is developed and defined with the help of Mikusinski’s theory. D.Nemzer, P. Mikusinski and other discovered several applications of Boehmians. Also we establish some properties of Double Natural transform with other integral transforms. The Double Natural transform have been extended to generalized function and some of its distributional properties are obtained. Further we extend this class to Integrable Boehmians.

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“…Solution of population growth and decay problems was given by Aggarwal et al [18] using Mohand transform. Aggarwal et al [19] gave a new application of Mahgoub transform for finding the solution of linear ordinary differential equations with variable coefficients. Aggarwal and Sharma [20] discussed the application of Kamal transform for solving Abel's integral equation.…”

Section: Introductionmentioning

confidence: 99%

Duality relations of Kamal transform with Laplace, Laplace–Carson, Aboodh, Sumudu, Elzaki, Mohand and Sawi transforms

Aggarwal¹,

Sharma

Chauhan

2019

SN Appl. Sci.

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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, authors discussed the duality relations of Kamal transform with Laplace, Laplace-Carson, Aboodh, Sumudu, Elzaki, Mohand and Sawi transforms. Tabular presentation of Laplace transform, Laplace-Carson transforms, Aboodh transform, Sumudu transform, Elzaki transform, Mohand transform and Sawi transform of mostly used basic mathematical functions are given to visualize the importance of duality relations of Kamal transform with Laplace, Laplace-Carson, Aboodh, Sumudu, Elzaki, Mohand and Sawi transforms. To show the practical importance of the paper, a problem of the field of pharmacokinetics has been taken and solved in full steps using Kamal transform with the help of mention duality relations. Results show that Kamal transform and Laplace, Laplace-Carson, Aboodh, Sumudu, Elzaki, Mohand and Sawi transforms have a strong relationship.

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A New Application of Mahgoub Transform for Solving Linear Ordinary Differential Equations with Variable Coefficients

Cited by 15 publications

References 0 publications

A New Application of Shehu Transform for Handling Volterra Integral Equations of First Kind

A New Application of Shehu Transform for Handling Volterra Integral Equations of First Kind

On Double Natural Transform of Boehmians

Duality relations of Kamal transform with Laplace, Laplace–Carson, Aboodh, Sumudu, Elzaki, Mohand and Sawi transforms

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