Research Article

APPLICATION OF KHARRAT-TOMA TRANSFORM FOR SOLVING LINEAR VOLTERRA INTEGRAL EQUATIONS

Volume: 3 Number: 2 July 31, 2020
EN

APPLICATION OF KHARRAT-TOMA TRANSFORM FOR SOLVING LINEAR VOLTERRA INTEGRAL EQUATIONS

Abstract

In this paper, a new integral transform, called Kharrat-Toma transform is used for solving convolution type linear Volterra integral equations of the rst kind and also convolution type linear Volterra integral equation of the second kind. Some applications are given to explain the procedure of solution of linear Volterra integral equations using Kharrat-Toma transform.

Keywords

References

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  2. 2 : S. Aggarwal, R. Chauhan and N. Sharma, Application of Aboodh transform for solving linear Volterra integro-differential equations of second kind, Int. J. Res. Adv. Tech., vol.6(8), pp. 1186-1190 (2018).
  3. 3 : S. Aggarwal, R. Chauhan and N. Sharma, A new application of Kamal transform for solving linear Volterra integral equations, Int. J. Lat. Tech. Engg., Magn. &App. Sci., vol.7(4), pp.138-140 (2018).
  4. 4 : S. Aggarwal, R. Chauhan and N. Sharma, Application of Kamal transform for solving linear Volterra integral equations of first kind, Int. J. Res. Adv. Tech., vol.6(8), pp.2081-2088 (2018).
  5. 5 : S. Aggarwal, R. Chauhan and N. Sharma, A new application of Mahgoub transform for solving linear Volterra integral equations, Asi. Res., Vol.7(2), pp. 46-48 (2018).
  6. 6 : S. Aggarwal, R. Chauhan and N. Sharma, A New Application of Shehu Transform for Handling Volterra Integral Equations of First Kind, International Journal of Research in Advent Technology, Vol.7(4), pp.439-445 (2019).
  7. 7 : M. A. Asiru, Sumudu Transform and the Solution of Integral Equations of Convolution Type, International Journal of Mathematical Education in Science and Technology, vol.32(6), pp.906-910 (2001).
  8. 8 : M.G. Gnanavel, C. Saranya and A. Viswanathan, Applications of Linear Volterra Integral Equations of First Kind by Using Tarig Transform, International Journal of Innovative Technology and Exploring Engineering (IJITEE), Vol.8(10), pp.2278-3075 (2019).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

July 31, 2020

Submission Date

November 21, 2020

Acceptance Date

February 13, 2021

Published in Issue

Year 2020 Volume: 3 Number: 2

APA
Güngör, N. (2020). APPLICATION OF KHARRAT-TOMA TRANSFORM FOR SOLVING LINEAR VOLTERRA INTEGRAL EQUATIONS. Journal of Universal Mathematics, 3(2), 137-145. https://doi.org/10.33773/jum.829176
AMA
1.Güngör N. APPLICATION OF KHARRAT-TOMA TRANSFORM FOR SOLVING LINEAR VOLTERRA INTEGRAL EQUATIONS. JUM. 2020;3(2):137-145. doi:10.33773/jum.829176
Chicago
Güngör, Nihan. 2020. “APPLICATION OF KHARRAT-TOMA TRANSFORM FOR SOLVING LINEAR VOLTERRA INTEGRAL EQUATIONS”. Journal of Universal Mathematics 3 (2): 137-45. https://doi.org/10.33773/jum.829176.
EndNote
Güngör N (July 1, 2020) APPLICATION OF KHARRAT-TOMA TRANSFORM FOR SOLVING LINEAR VOLTERRA INTEGRAL EQUATIONS. Journal of Universal Mathematics 3 2 137–145.
IEEE
[1]N. Güngör, “APPLICATION OF KHARRAT-TOMA TRANSFORM FOR SOLVING LINEAR VOLTERRA INTEGRAL EQUATIONS”, JUM, vol. 3, no. 2, pp. 137–145, July 2020, doi: 10.33773/jum.829176.
ISNAD
Güngör, Nihan. “APPLICATION OF KHARRAT-TOMA TRANSFORM FOR SOLVING LINEAR VOLTERRA INTEGRAL EQUATIONS”. Journal of Universal Mathematics 3/2 (July 1, 2020): 137-145. https://doi.org/10.33773/jum.829176.
JAMA
1.Güngör N. APPLICATION OF KHARRAT-TOMA TRANSFORM FOR SOLVING LINEAR VOLTERRA INTEGRAL EQUATIONS. JUM. 2020;3:137–145.
MLA
Güngör, Nihan. “APPLICATION OF KHARRAT-TOMA TRANSFORM FOR SOLVING LINEAR VOLTERRA INTEGRAL EQUATIONS”. Journal of Universal Mathematics, vol. 3, no. 2, July 2020, pp. 137-45, doi:10.33773/jum.829176.
Vancouver
1.Nihan Güngör. APPLICATION OF KHARRAT-TOMA TRANSFORM FOR SOLVING LINEAR VOLTERRA INTEGRAL EQUATIONS. JUM. 2020 Jul. 1;3(2):137-45. doi:10.33773/jum.829176

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