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On Double Laplace-Shehu Transform and its Properties with Applications

Year 2023, , 218 - 226, 31.12.2023
https://doi.org/10.47000/tjmcs.1009950

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.

References

  • Aggarwal, S., Singh, A., Kumar, A., Kumar, N., Application of Laplace transform for solving improper integrals whose integrand consisting error function, Journal of Advanced Research in Applied Mathematics and Statistics, 4(2019), 1–7.
  • 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.
  • 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.
  • 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.
  • Alfaqeih, S., Misirli, E., On double Shehu transform and its properties with applications, International Journal of Analysis and Applications, 3(2020), 381–395.
  • Alkaleeli, S., Mtawal, A., Hmad, M., Triple Shehu transform and its properties with applications, African Journal of Mathematics and Computer, 14(2021), 4–12.
  • 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.
  • Dhunde, R.,Waghmare, G., Double Laplace transform method in mathematical physics, International Journal of Theoretical and Mathematical Physics, 7(2017), 14–20.
  • Eltayeb, H., Kilicman, A., A note on solutions of wave, Laplace’s and heat equations with convolution terms by using a double Laplace transform, Applied Mathematics Letters 21(2008), 1324–1329.
  • Lakmon, K., Mensah, Y., The Plancherel formula for the Shehu transform, Annals of Pure and Applied Mathematical Sciences, 1(2021) 14–19.
  • Maitama, S., Zhao, W., New integral transfrom: Shehu transform a generalizattion of Sumudu and Laplace transfrom for solving differential equations, International Journal of Analysis and Applications, 17(2019), 167–190.
Year 2023, , 218 - 226, 31.12.2023
https://doi.org/10.47000/tjmcs.1009950

Abstract

References

  • Aggarwal, S., Singh, A., Kumar, A., Kumar, N., Application of Laplace transform for solving improper integrals whose integrand consisting error function, Journal of Advanced Research in Applied Mathematics and Statistics, 4(2019), 1–7.
  • 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.
  • 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.
  • 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.
  • Alfaqeih, S., Misirli, E., On double Shehu transform and its properties with applications, International Journal of Analysis and Applications, 3(2020), 381–395.
  • Alkaleeli, S., Mtawal, A., Hmad, M., Triple Shehu transform and its properties with applications, African Journal of Mathematics and Computer, 14(2021), 4–12.
  • 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.
  • Dhunde, R.,Waghmare, G., Double Laplace transform method in mathematical physics, International Journal of Theoretical and Mathematical Physics, 7(2017), 14–20.
  • Eltayeb, H., Kilicman, A., A note on solutions of wave, Laplace’s and heat equations with convolution terms by using a double Laplace transform, Applied Mathematics Letters 21(2008), 1324–1329.
  • Lakmon, K., Mensah, Y., The Plancherel formula for the Shehu transform, Annals of Pure and Applied Mathematical Sciences, 1(2021) 14–19.
  • Maitama, S., Zhao, W., New integral transfrom: Shehu transform a generalizattion of Sumudu and Laplace transfrom for solving differential equations, International Journal of Analysis and Applications, 17(2019), 167–190.
There are 11 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Mona Hunaıber This is me 0000-0002-0611-0986

Alı Al-aatı 0000-0001-5835-6286

Publication Date December 31, 2023
Published in Issue Year 2023

Cite

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