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On Double Laplace-Shehu Transform and its Properties with Applications

Yıl 2023, Cilt: 15 Sayı: 2, 218 - 226, 31.12.2023
https://doi.org/10.47000/tjmcs.1009950

Öz

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.

Kaynakça

  • 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.
Yıl 2023, Cilt: 15 Sayı: 2, 218 - 226, 31.12.2023
https://doi.org/10.47000/tjmcs.1009950

Öz

Kaynakça

  • 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.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Mona Hunaıber Bu kişi benim 0000-0002-0611-0986

Alı Al-aatı 0000-0001-5835-6286

Yayımlanma Tarihi 31 Aralık 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 15 Sayı: 2

Kaynak Göster

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. Aralık 2023;15(2):218-226. doi:10.47000/tjmcs.1009950
Chicago Hunaıber, Mona, ve Alı Al-aatı. “On Double Laplace-Shehu Transform and Its Properties With Applications”. Turkish Journal of Mathematics and Computer Science 15, sy. 2 (Aralık 2023): 218-26. https://doi.org/10.47000/tjmcs.1009950.
EndNote Hunaıber M, Al-aatı A (01 Aralık 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 ve A. Al-aatı, “On Double Laplace-Shehu Transform and its Properties with Applications”, TJMCS, c. 15, sy. 2, ss. 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 (Aralık 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 ve Alı Al-aatı. “On Double Laplace-Shehu Transform and Its Properties With Applications”. Turkish Journal of Mathematics and Computer Science, c. 15, sy. 2, 2023, ss. 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.