On The Weak Fuzzy Complex Differential Equations and Some Types of the 1st Order 1st degree WFC-ODEs

Hussein; Ahmed Salem; Lama; Sara A.; Ahmed Atallah; Abdallah

doi:https://doi.org/10.54216/IJNS.250338

Full Length Article

Volume 25 • Issue 3 • PP: 450-468 • 2025

On The Weak Fuzzy Complex Differential Equations and Some Types of the 1st Order 1st degree WFC-ODEs

Hussein Edduweh ^1*

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,

Ahmed Salem Heilat ²

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,

Lama Razouk ³

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,

Sara A. Khalil ⁴

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,

Ahmed Atallah Alsaraireh ⁵

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,

Abdallah Al-Husban ⁶

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¹Department of Mathematics, The University of Texas at Arlington, Arlington, TX 76019-0407, USA

²Department of Mathematics, Faculty of Science and Information Technology, Jadara University, P.O. Box 733, Irbid 21110, Jordan

³Department of Mathematics, Faculty of Sciences, Tishreen University, Latakia, Syria

⁴Mathematics Department, Faculty of Science, Applied Science Private University (ASU) Amman, Jordan

⁵The university of Jordan–Aqaba Department of computer information systems, Jordan

⁶Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.250338

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Received: March 25, 2024 Revised: June 26, 2024 Accepted: November 10, 2024

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Abstract

The objective of this paper is to introduce the concept of Weak Fuzzy Complex differential equations. We have defined the general solution of the n-th order Weak Fuzzy Complex ordinary differential equation. That we have used a special isomorphism transformation function to write the WFC-ODE as two Real ODEs and solved them with respect to their own variables. Then, by the inverse of the transformation function, we have got the general solution in F (J) as a structure of two general solutions in R. Therefore, we have shown some types of first-order first-degree separable, exact, and linear WFC-ODEs. Also, we have found their general solutions with examples to demonstrate them.

Keywords

Weak Fuzzy Complex (WFC) Numbers Weak Fuzzy Complex Functions Differential Equations (DE)

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Edduweh, Hussein, Heilat, Ahmed Salem, Razouk, Lama, Khalil, Sara A., Alsaraireh, Ahmed Atallah, Al-Husban, Abdallah. "On The Weak Fuzzy Complex Differential Equations and Some Types of the 1st Order 1st degree WFC-ODEs." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, 2025, pp. 450-468. DOI: https://doi.org/10.54216/IJNS.250338

Edduweh, H., Heilat, A., Razouk, L., Khalil, S., Alsaraireh, A., Al-Husban, A. (2025). On The Weak Fuzzy Complex Differential Equations and Some Types of the 1st Order 1st degree WFC-ODEs. International Journal of Neutrosophic Science, Volume 25(Issue 3), 450-468. DOI: https://doi.org/10.54216/IJNS.250338

Edduweh, Hussein, Heilat, Ahmed Salem, Razouk, Lama, Khalil, Sara A., Alsaraireh, Ahmed Atallah, Al-Husban, Abdallah. "On The Weak Fuzzy Complex Differential Equations and Some Types of the 1st Order 1st degree WFC-ODEs." International Journal of Neutrosophic Science Volume 25, no. Issue 3 (2025): 450-468. DOI: https://doi.org/10.54216/IJNS.250338

Edduweh, H., Heilat, A., Razouk, L., Khalil, S., Alsaraireh, A., Al-Husban, A. (2025) 'On The Weak Fuzzy Complex Differential Equations and Some Types of the 1st Order 1st degree WFC-ODEs', International Journal of Neutrosophic Science, Volume 25(Issue 3), pp. 450-468. DOI: https://doi.org/10.54216/IJNS.250338

Edduweh H, Heilat A, Razouk L, Khalil S, Alsaraireh A, Al-Husban A. On The Weak Fuzzy Complex Differential Equations and Some Types of the 1st Order 1st degree WFC-ODEs. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 3):450-468. DOI: https://doi.org/10.54216/IJNS.250338

H. Edduweh, A. Heilat, L. Razouk, S. Khalil, A. Alsaraireh, A. Al-Husban, "On The Weak Fuzzy Complex Differential Equations and Some Types of the 1st Order 1st degree WFC-ODEs," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, pp. 450-468, 2025. DOI: https://doi.org/10.54216/IJNS.250338

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