620 679
Full Length Article
International Journal of Neutrosophic Science
Volume 19 , Issue 1, PP: 212-216 , 2022 | Cite this article as | XML | Html |PDF

Title

Exact Solution for Neutrosophic System of Ordinary Differential Equations by Neutrosophic Thick Function Using Laplace Transform

  George A. Toma 1 *

1  Department of fundamental sciences, Higher Institute for Applied Sciences and Technology, Aleppo, Syria
    (george.toma@hiast.edu.sy)


Doi   :   https://doi.org/10.54216/IJNS.190116

Received: May 02, 2022 Accepted: September 09, 2022

Abstract :

In this work, the idea of neutrosophic thick function has been proposed for solving a neutrosophic system of ordinary differential equations of various orders by the Laplace transform. This proposed scheme method is effective and simple to reach an exact solution.

Keywords :

Neutrosophic equations; Neutrosophic thick function; a system of ordinary differential equations; Laplace transforms; exact solution.

References :

[1] Smarandache F. Neutrosophic Precalculus and Neutrosophic Calculus, University of New Mexico, 705 Gurley Ave. Gallup, NM 87301, USA, (2015).

[2] Smarandache F. Neutrosophic Measure and Neutrosophic Integral, In Neutrosophic Sets and Systems, 3 – 7, Vol. 1, (2013).

[3] R.Narmada Devi, Novel Idea of Gδ-α-Locally Continuous Functions, International Journal of Neutrosophic Science, Vol. 13 , No.2: 61-65, (2021)

[4] A. A Salama; I. M Hanafy; Hewayda Elghawalby Dabash M.S, Neutrosophic Crisp Closed RRegion and Neutrosophic Crisp Continuous Functions, New Trends in Neutrosophic Theory and Applications.

[5]  M. Abdel-Basset; E. Mai. Mohamed; C. Francisco; H. Z. Abd EL-Nasser. "Cosine similarity measures of the bipolar neutrosophic set for diagnosis of bipolar disorder diseases" Artificial Intelligence in Medicine Vol. 101, 101735, (2019).

[6]  M. Abdel-Basset; E. Mohamed; G. Abdullah; G. Gunasekaran; L. Hooang Viet." A novel group decision-making model based on neutrosophic sets for heart disease diagnosis" Multimedia Tools and Applications, 1-26, (2019).

[7] Mikail Bal , Mohammad Abobala, On the Representation of Winning Strategies of Finite Games by Groups and Neutrosophic Groups, Journal of Neutrosophic and Fuzzy Systems, Vol. 2 , No. 1: 8-13, (2022)

[8] A. B.AL-Nafee; R.K. Al-Hamido; F.Smarandache. "Separation Axioms In Neutrosophic Crisp Topological Spaces", Neutrosophic Sets and Systems, vol. 25, 25-32, (2019).

[9] Al-Hamido, R. K.; “A study of multi-Topological Spaces”, PhD Theses, AlBaath university, Syria, (2019).

[10]  Malath F. Alaswad, "A Study of the Integration of Neutrosophic Thick Functions," International Journal of Neutrosophic Science (IJNS), pp. 97-105, (2020).

[11] Ahmad Salama , Rasha Dalla , Malath Al Aswad , Rozina Ali, On Some Results About The Second Order Neutrosophic Differential Equations By Using Neutrosophic Thick Function, Journal of Neutrosophic and Fuzzy Systems, Vol. 4, No. 1: 30-40, (2022)


Cite this Article as :
Style #
MLA George A. Toma. "Exact Solution for Neutrosophic System of Ordinary Differential Equations by Neutrosophic Thick Function Using Laplace Transform." International Journal of Neutrosophic Science, Vol. 19, No. 1, 2022 ,PP. 212-216 (Doi   :  https://doi.org/10.54216/IJNS.190116)
APA George A. Toma. (2022). Exact Solution for Neutrosophic System of Ordinary Differential Equations by Neutrosophic Thick Function Using Laplace Transform. Journal of International Journal of Neutrosophic Science, 19 ( 1 ), 212-216 (Doi   :  https://doi.org/10.54216/IJNS.190116)
Chicago George A. Toma. "Exact Solution for Neutrosophic System of Ordinary Differential Equations by Neutrosophic Thick Function Using Laplace Transform." Journal of International Journal of Neutrosophic Science, 19 no. 1 (2022): 212-216 (Doi   :  https://doi.org/10.54216/IJNS.190116)
Harvard George A. Toma. (2022). Exact Solution for Neutrosophic System of Ordinary Differential Equations by Neutrosophic Thick Function Using Laplace Transform. Journal of International Journal of Neutrosophic Science, 19 ( 1 ), 212-216 (Doi   :  https://doi.org/10.54216/IJNS.190116)
Vancouver George A. Toma. Exact Solution for Neutrosophic System of Ordinary Differential Equations by Neutrosophic Thick Function Using Laplace Transform. Journal of International Journal of Neutrosophic Science, (2022); 19 ( 1 ): 212-216 (Doi   :  https://doi.org/10.54216/IJNS.190116)
IEEE George A. Toma, Exact Solution for Neutrosophic System of Ordinary Differential Equations by Neutrosophic Thick Function Using Laplace Transform, Journal of International Journal of Neutrosophic Science, Vol. 19 , No. 1 , (2022) : 212-216 (Doi   :  https://doi.org/10.54216/IJNS.190116)