Indian Journal of Mathematics Research

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Application of Tarig Transform to Integral and Integro-differential Equations


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1 Mathematics Department, Faculty of Sciences and Arts-Alkamil, King Abdulaziz University, Jeddah., Saudi Arabia
     

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In this paper, we solve the integro-differential equation by using new integral transform called Tarig transform. New theorems for the transform of integrals are introduced and proved.

Keywords

Tarig Transform, Integro-differential Equations
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  • Tarig M. Elzaki, (2011), The New Integral Transform "Elzaki Transform" Global Journal of Pure and Applied Mathematics, ISSN 0973-1768, Number 1, pp. 57-64.

  • Tarig M. Elzaki & Salih M. Elzaki, (2011), Application of New Transform "Elzaki Transform" to Partial Differential Equations, Global Journal of Pure and Applied Mathematics, ISSN 0973-1768, Number 1, pp. 65-70.

  • Tarig M. Elzaki & Salih M. Elzaki, (2011), On the Connections Between Laplace and Elzaki transforms, Advances in Theoretical and Applied Mathematics, ISSN 0973-4554 Volume 6, Number 1, pp. 1-11.

  • Tarig M. Elzaki & Salih M. Elzaki, (2011), On the Elzaki Transform and Ordinary Differential Equation With Variable Coefficients, Advances in Theoretical and Applied Mathematics. ISSN 0973-4554 Volume 6, Number 1, pp. 13-18.

  • Tarig M. Elzaki, Adem Kilicman, Hassan Eltayeb. (2010), On Existence and Uniqueness of Generalized Solutions for a Mixed-Type Differential Equation, Journal of Mathematics Research, Vol. 2, No. 4, pp. 88-92.

  • Tarig M. Elzaki, (2009), Existence and Uniqueness of Solutions for Composite Type Equation, Journal of Science and Technology,. pp. 214-219.

  • Lokenath Debnath and D. Bhatta. (2006), Integral transform and their Application second Edition, Chapman & Hall /CRC.

  • A.Kilicman and H.E.Gadain. (2009), An application of double Laplace transform and Sumudu transform, Lobachevskii J. Math.30 (3), pp.214-223.

  • J. Zhang, (2007), Asumudu based algorithm m for solving differential equations, Comp. Sci. J. Moldova 15(3), pp – 303-313.

  • Hassan Eltayeb and Adem kilicman, (2010), A Note on the Sumudu Transforms and differential Equations, Applied Mathematical Sciences, VOL, 4, no.22, 1089-1098.

  • Kilicman A. & H. ELtayeb. (2010), A note on Integral transform and Partial Differential Equation, Applied Mathematical Sciences, 4(3), PP.109-118.

  • Hassan ELtayeh and Adem kilicman, (2010), on Some Applications of a new Integral Transform, Int. Journal of Math. Analysis, Vol, 4, no.3, 123-132.

  • Tarig M. Elzaki, and Salih M. Elzaki, (2011), on the new integral Transform 'Tarig Transform' and Systems of Ordinary Differential Equations. Applied Mathematics, Elixir Appl. Math. 36, 3226-3229.

  • Tarig M. Elzaki, and Salih M. Elzaki, (2011), on the relationship between Laplace Transform and new integral transform Tarig Transform'. Applied Mathematics, Elixir Appl. Math. 36, 3230-3233.

  • Tarig M. Elzaki, and Salih M. Elzaki, (2011), On the Tarig Transform and ordinary differential equation with variable coefficients, Applied Mathematics, Elixir Appl. Math. 38, 4250-4252.

  • Tarig M. Elzaki, and Salih M. Elzaki, (2011), the new integral transform "Tarig Transform" Properties and applications to differential equations, Applied Mathematics, Elixir Appl. Math. 38, 4239-4242.

  • Tarig M. Elzaki, and Salih M. Elzaki, (2012), Application of new transform "tarig transform" to partial differential equations, Applied Mathematics, Elixir Appl. Math. 42, 6369-6372.

  • Tarig M. Elzaki, and Salih M. Elzaki, (2012), On the Tarig transform and system of partial differential equations, Applied Mathematics, Elixir Appl. Math. 42, 6373-6376.


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  • Application of Tarig Transform to Integral and Integro-differential Equations

Abstract Views: 875  |  PDF Views: 8

Authors

Tarig. M. Elzaki
Mathematics Department, Faculty of Sciences and Arts-Alkamil, King Abdulaziz University, Jeddah., Saudi Arabia
Mohmod M. Sh. Amrir
Mathematics Department, Faculty of Sciences and Arts-Alkamil, King Abdulaziz University, Jeddah., Saudi Arabia

Abstract


In this paper, we solve the integro-differential equation by using new integral transform called Tarig transform. New theorems for the transform of integrals are introduced and proved.

Keywords


Tarig Transform, Integro-differential Equations

References