Research Article

On Double Laplace-Shehu Transform and its Properties with Applications

Volume: 15 Number: 2 December 31, 2023
EN

On Double Laplace-Shehu Transform and its Properties with Applications

Abstract

In this paper, we introduce a new method for solving some partial differential equations called double Laplace-Shehu transform, some useful properties for the transform are presented. In addition, we use this transform to solve the Laplace, Poisson, Wave and Heat equations and find Laplace-Shehu transform for some functions.

Keywords

References

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  2. Ahmed, S.A., Elzaki, T.M., Elbadri, M., Mohamed, M., Solution of partial differential equations by new double integral transform (Laplace -Sumudu transform), Ain Shams Engineering Journal, 12(2021), 4045–4049.
  3. Albukhuttar, A., Jubear, B., Neamah, M., Solve the Laplace, Poisson and telegraph equations using the Shehu transform, Turkish Journal of Computer and Mathematics Education, Turkey, 10(2021), 1759–1768.
  4. Albukhuttar, A., Ridha, Z., Kadhim, H., Applications of a Shehu transform to the heat and transport equations, International Journal of Psychosocial Rehabilitation, 24(2020), 4254–4263.
  5. Alfaqeih, S., Misirli, E., On double Shehu transform and its properties with applications, International Journal of Analysis and Applications, 3(2020), 381–395.
  6. Alkaleeli, S., Mtawal, A., Hmad, M., Triple Shehu transform and its properties with applications, African Journal of Mathematics and Computer, 14(2021), 4–12.
  7. Debnath, L., The double Laplace transforms and their properties with applications to functional, integral and partial differential equations, Int. J. Appl. Comput. Math, 2(2016), 223–241.
  8. Dhunde, R.,Waghmare, G., Double Laplace transform method in mathematical physics, International Journal of Theoretical and Mathematical Physics, 7(2017), 14–20.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2023

Submission Date

October 17, 2021

Acceptance Date

December 13, 2022

Published in Issue

Year 2023 Volume: 15 Number: 2

APA
Hunaıber, M., & Al-aatı, A. (2023). On Double Laplace-Shehu Transform and its Properties with Applications. Turkish Journal of Mathematics and Computer Science, 15(2), 218-226. https://doi.org/10.47000/tjmcs.1009950
AMA
1.Hunaıber M, Al-aatı A. On Double Laplace-Shehu Transform and its Properties with Applications. TJMCS. 2023;15(2):218-226. doi:10.47000/tjmcs.1009950
Chicago
Hunaıber, Mona, and Alı Al-aatı. 2023. “On Double Laplace-Shehu Transform and Its Properties With Applications”. Turkish Journal of Mathematics and Computer Science 15 (2): 218-26. https://doi.org/10.47000/tjmcs.1009950.
EndNote
Hunaıber M, Al-aatı A (December 1, 2023) On Double Laplace-Shehu Transform and its Properties with Applications. Turkish Journal of Mathematics and Computer Science 15 2 218–226.
IEEE
[1]M. Hunaıber and A. Al-aatı, “On Double Laplace-Shehu Transform and its Properties with Applications”, TJMCS, vol. 15, no. 2, pp. 218–226, Dec. 2023, doi: 10.47000/tjmcs.1009950.
ISNAD
Hunaıber, Mona - Al-aatı, Alı. “On Double Laplace-Shehu Transform and Its Properties With Applications”. Turkish Journal of Mathematics and Computer Science 15/2 (December 1, 2023): 218-226. https://doi.org/10.47000/tjmcs.1009950.
JAMA
1.Hunaıber M, Al-aatı A. On Double Laplace-Shehu Transform and its Properties with Applications. TJMCS. 2023;15:218–226.
MLA
Hunaıber, Mona, and Alı Al-aatı. “On Double Laplace-Shehu Transform and Its Properties With Applications”. Turkish Journal of Mathematics and Computer Science, vol. 15, no. 2, Dec. 2023, pp. 218-26, doi:10.47000/tjmcs.1009950.
Vancouver
1.Mona Hunaıber, Alı Al-aatı. On Double Laplace-Shehu Transform and its Properties with Applications. TJMCS. 2023 Dec. 1;15(2):218-26. doi:10.47000/tjmcs.1009950