A Novel Formula for Solving Integral Transforms

Authors

Mortada S. Ali, Department of Mathematics, College of Science and Arts, Al-Baha University, Al-Makhwah, P.O.Box1988, KSAFollow
Abd Elmotaleb A. M. A. Elamin, Department of Mathematic, College of Science and Humanity, Prince Sattam bin Abdulaziz University,Sulail, Al-Kharj 11942 , KSAFollow
Alshaikh A. Shokeralla, Department of Mathematics, College of Science and Arts, Al-Baha University, Al-Makhwah, P.O.Box1988, KSAFollow
Mawahib Elamin, Department of Mathematics, College of Science and Arts, Qassim University, Riyadh, Alkkbra, KSAFollow

Author Country (or Countries)

KSA

Abstract

In this paper, we present a novel formula to solve well-known integral transforms (Laplace andFourier) as well as new integral transform (Sumudu) and their inverses in a clear and practicalmanner. This formula is restricted to integrals that include a derivable function multiplied by anexponential function. The proposed methodology is presented gradually in this article to dealwith these integrals. Moreover, we give provide examples to illustrate the effectiveness of thenew formula.

Digital Object Identifier (DOI)

https://dx.doi.org/10.18576/amis/170621

Recommended Citation

S. Ali, Mortada; Elmotaleb A. M. A. Elamin, Abd; A. Shokeralla, Alshaikh; and Elamin, Mawahib (2023) "A Novel Formula for Solving Integral Transforms," Applied Mathematics & Information Sciences: Vol. 17: Iss. 6, Article 27.
DOI: https://dx.doi.org/10.18576/amis/170621
Available at: https://digitalcommons.aaru.edu.jo/amis/vol17/iss6/27