α-Sumudu Transformation Homotopy Perturbation Technique on Fractional Gas Dynamical Equation

Ali Moazzam; Adnan Shokat; Emad A. Kuffi

doi:10.30526/36.1.3029

Article Details

α-Sumudu Transformation Homotopy Perturbation Technique on Fractional Gas Dynamical Equation

Authors:

Ali Moazzam | Adnan Shokat | Emad A. Kuffi

Publisher:

University of Baghdad

Journal:

Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.36 Issue 1, pp.325-332

Document Type:

Article

Publication Date:

1/2023

Document Language:

English

Document ID (Org No.):

2001377956

pISSN:

2521-3407

DOI:

10.30526/36.1.3029

Keywords:

Abstract:

 Transformation and many other substitution methods have been used to solve non-linear differential fractional equations. In this present work, the homotopy perturbation method to solve the non-linear differential fractional equation with the help of He’s Polynomials is provided as the transformation plays an essential role in solving differential linear and non-linear equations. Here is the α-Sumudu technique to find the relevant results of the gas dynamics equation in fractional order. To calculate the non-linear fractional gas dynamical problem, a consumer method created on the new homotopy perturbation a-Sumudu transformation method (HP TM) is suggested. In the Caputo type, the derivative is evaluated. a-Sumudu homotopy perturbation technique and He’s polynomials are all incorporated in the HPSaTM. The availability of He’s polynomials could be used to conveniently manage the non-linearity. The suggested approach shows that the strategy is simple to implement and provides results that can be compared to the results gained from any other transformation technique.

Article Details

α-Sumudu Transformation Homotopy Perturbation Technique on Fractional Gas Dynamical Equation

Authors:

Ali Moazzam | Adnan Shokat | Emad A. Kuffi

Publisher:

University of Baghdad

Journal:

Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.36 Issue 1, pp.325-332

Document Type:

Article

Publication Date:

1/2023

Document Language:

English

Document ID (Org No.):

2001377956

pISSN:

2521-3407

DOI:

10.30526/36.1.3029

alpha-Sumudu

Mittag-Leffler

homotopy perturbation method

He’s Polynomials

Issues

Article Details

α-Sumudu Transformation Homotopy Perturbation Technique on Fractional Gas Dynamical Equation

Authors: Ali Moazzam | Adnan Shokat | Emad A. Kuffi

Publisher: University of Baghdad

Journal: Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.36 Issue 1, pp.325-332

Document Type: Article

Publication Date: 1/2023

Document Language: English

Document ID (Org No.): 2001377956

pISSN: 2521-3407

DOI: 10.30526/36.1.3029

alpha-Sumudu

Mittag-Leffler

homotopy perturbation method

He’s Polynomials

Issues

Authors:

Ali Moazzam | Adnan Shokat | Emad A. Kuffi

Publisher:

University of Baghdad

Journal:

Ibn AL-Haitham Journal For Pure and Applied Sciences Vol.36 Issue 1, pp.325-332

Document Type:

Article

Publication Date:

1/2023

Document Language:

English

Document ID (Org No.):

2001377956

pISSN:

2521-3407

DOI:

10.30526/36.1.3029