International Journal of Nonlinear Analysis and Applications

A new generalized Laplace transform

Articles in Press

Document Type : Review articles

Authors

1 Department of Mathematics, Government Arts and Science College, (Formerly MKUCC), Eriyodu, Vedasandur-624 702, India

2 Department of Mathematics, Alagappa University, Karaikudi-630 004, India

3 Department of Mathematics, Alagappa Government Arts College, Karaikudi-630 003, India

10.22075/ijnaa.2021.23852.2636

Abstract

A new generalized Laplace transform is introduced, which is a common generalization of the Laplace transform, Sumudu transform, ELzaki transform, and a transformation of X. J. Yang. The basic properties of this generalized Laplace transform are derived, so that these properties coincide with the properties of the known transformations mentioned above.

Keywords

[1] L. Debnath and D. Bhatta, Integral Transforms and Their Applications, Second Edition, Chapman and Hall/CRC, 2006.
[2] T.M. Elzaki, The New integral Transform ”ELzaki Transform”, Glob. J. Pure Appl. Math. 7 (2011), no. 1, 57–64.
[3] G.K. Watugala, Sumudu transform: A new integral transform to solve differential equations and control engineering problems, Int. J. Math. Educ. Sci. Technol. 24 (1993), no. 1, 35–43.
[4] X-J. Yang, A new integral transform method for solving steady-state heat-transfer problem, Therm. Sci. 20 (2016), no. 3, 639–642.
International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 10 November 2024
  • Receive Date: 08 July 2021
  • Revise Date: 03 August 2021
  • Accept Date: 21 August 2021