Abstract
Integral transformations have a fundamental role in solving differential and integral equations. In this paper, the Sadiq and complex Sadiq integral transformations were discussed in detail through an applied study to solve the initial value problem, including the ODEs system, where the definition of the Sadiq integral transformation and the definition of complex Sadiq integral transformation were presented with mention of some important properties that help in finding solutions to the systems of ordinary differential equations with initial conditions, including the linear property and the derivative property, the inverse of the Sadiq integral transform and the inverse of the complex Sadiq integral transform were addressed, where the inverse of some basic functions were identified in table No. 1, and since the aim of this research is to compare between the Sadiq transform and the complex Sadiq transform to solve systems of ordinary differential equations, we presented three Examples include systems of differential equations, where it was found that the results are identical in the two transformations, and the result shows that the Sadiq integral transformation and the complex Sadiq integral transformation are closely related
Recommended Citation
Mushtt, Intidhar Zamil and Kuffi, Emad A.
(2023)
"Sadik and complex Sadik integral transforms of system of ordinary differential equations,"
Iraqi Journal for Computer Science and Mathematics: Vol. 4:
Iss.
1, Article 17.
DOI: https://doi.org/10.52866/ijcsm.2023.01.01.0015
Available at:
https://ijcsm.researchcommons.org/ijcsm/vol4/iss1/17
