On the convergence of double Sumudu transform
Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 3, p. 154-162.

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In this article, we have studied the convergence properties of double Sumudu transformation, and we presented the results in the form of theorems on convergence, absolute convergence, and uniform convergence of Double Sumudu transformation. The Double Sumudu transform of double Integral has also been discussed for integral evaluation. Finally, we have solved a Volterra integro-partial differential equation by using Double Sumudu transformation.
DOI : 10.22436/jnsa.013.03.04
Classification : 44A05, 34A25
Keywords: Double Sumudu transform, inverse Sumudu transform, integro-partial differential equations

Ahmed, Zulfiqar  1 ; Idrees, Muhammad Imran  2 ; Belgacem, Fethi Bin Muhammad  3 ; Perveen, Zahida 2

1 Department of Computer Science, GIFT University, Gujranwala, Pakistan
2 Department of Mathematics, Lahore Garrison University, DHA, Phase VI, Lahore, Pakistan
3 Department of Mathematics, Faculty of Basic Education, PAAET, Shaamyia, Kuwait
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Ahmed, Zulfiqar ; Idrees, Muhammad Imran ; Belgacem, Fethi Bin Muhammad ; Perveen, Zahida. On the convergence of double Sumudu transform. Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 3, p. 154-162. doi : 10.22436/jnsa.013.03.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.013.03.04/

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