On the convergence of double Sumudu transform

Volume 13, Issue 3, pp 154--162 http://dx.doi.org/10.22436/jnsa.013.03.04
Publication Date: December 04, 2019 Submission Date: December 25, 2018 Revision Date: September 01, 2019 Accteptance Date: September 04, 2019

Authors

Zulfiqar Ahmed - Department of Computer Science, GIFT University, Gujranwala, Pakistan. Muhammad Imran Idrees - Department of Mathematics, Lahore Garrison University, DHA, Phase VI, Lahore, Pakistan. Fethi Bin Muhammad Belgacem - Department of Mathematics, Faculty of Basic Education, PAAET, Shaamyia, Kuwait. Zahida Perveen - Department of Mathematics, Lahore Garrison University, DHA, Phase VI, Lahore, Pakistan.


Abstract

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.


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ISRP Style

Zulfiqar Ahmed, Muhammad Imran Idrees, Fethi Bin Muhammad Belgacem, Zahida Perveen, On the convergence of double Sumudu transform, Journal of Nonlinear Sciences and Applications, 13 (2020), no. 3, 154--162

AMA Style

Ahmed Zulfiqar, Idrees Muhammad Imran, Belgacem Fethi Bin Muhammad, Perveen Zahida, On the convergence of double Sumudu transform. J. Nonlinear Sci. Appl. (2020); 13(3):154--162

Chicago/Turabian Style

Ahmed, Zulfiqar, Idrees, Muhammad Imran, Belgacem, Fethi Bin Muhammad, Perveen, Zahida. "On the convergence of double Sumudu transform." Journal of Nonlinear Sciences and Applications, 13, no. 3 (2020): 154--162


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