Solving Some types of Linear Systems of Partial Differential Equations by Using Albazy Altememe Transformation

Ali Hassan Mohammed; Tuqa Haider Kareem

doi:10.31185/wjps.395

Authors

Ali Hassan Mohammed Mathematics Department, Education for Girls Faculty, Kufa University, Najaf, Iraq
Tuqa Haider Kareem

DOI:

https://doi.org/10.31185/wjps.395

Keywords:

Albazy Altememe Integral Transform, Partial Differential Equations

Abstract

In this work we will use A novel approach to solving linear PDES utilising the (“Albazy Altememe Integral Transform”) transformation, which is defined by the integral :

Also presenting the characteristics , theorems and transformations of some functions such as ( constant functions , logarithm functions and others . finding the way to use it in solving partial differential equations.

References

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A.H. Mohammed, Zahir M. Hussain, Rasoul, H.N. " Using Al-Tememe Transform to Solve Linear Partial Differential Equations with Applications" A thesis of MSc. Submitted to the university of Kufa, Faculty of computer sciences and mathematics, 2016. And A.H. Mohammed, Mohammed Ali B.S. " On Studying of Al-Tememe Transformation for Partial Differential Equations" A thesis of MSc. Submitted to the council of University of Kufa, Faculty of Education for girls, 2017.

Mohammed, A.H., Sadiq B.A., "AL-Zughair Transform ", LAP LAMBERT Academic Publishing, 2017. And Mohammed A.H., Abdullah N.G., "Some Applications of Al-Zughair Transform for Solutions of Some Types of Ordinary Differential Equations" thesis of MSc. University of Kufa, Faculty of Education for girls, 2019.

Mohammed A.H., Abdullah, N.G., "AL-Zughair and Al-Zughair Expansion Transformations and Some Uses", International Journal of Mechanical and Production Engineering Research and Development (IJMPERD) ISSN: 2249-8001, 12 September 2018. And Mohammed A.H., Atyiah N.A. ,"Expansion of Al-Zughair transform for solving some kinds of partial differential equation", International Journal of pure and applied Mathematics , V 119 no. 18, 2018.

A.H. MoℋÅmmed, A.Q. Majde, "An extension of Al-Zughair integral Transform for solving some LODE", Jour. Of Adv. Research in Dynamical and control system, Vol. 11, No. 5, (2019). And A.H. Mohammed, A.O. saud. A. Q. Majed, "An Extension of Al-Zughair Integral Transform for Solving some LPDE'S" , Internet of Things, Springer ISSN : 2199-1073, November (2019).

A.H. Battor ,E.A. Kuffi, A.H. Mohammed ," On Some Integral Transforms with Applications", A thesis submitted to the council of the faculty of Education for Girls 2022 A.D.