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International Journal of Neutrosophic Science

Volume 25 , Issue 3 , PP: 450-468, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

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

Hussein Edduweh 1 , Ahmed Salem Heilat 2 * , Lama Razouk 3 , Sara A. Khalil 4 , Ahmed Atallah Alsaraireh 5 * , Abdallah Al-Husban 6

  • 1 Department of Mathematics, The University of Texas at Arlington, Arlington, TX 76019-0407, USA - (Husseinsaid.edduweh@mavs.uta.edu)
  • 2 Department of Mathematics, Faculty of Science and Information Technology, Jadara University, P.O. Box 733, Irbid 21110, Jordan - (ahmed_heilat@yahoo.com)
  • 3 Department of Mathematics, Faculty of Sciences, Tishreen University, Latakia, Syria - (Lamarazouk94@gmail.com)
  • 4 Mathematics Department, Faculty of Science, Applied Science Private University (ASU) Amman, Jordan - (s_khalil@asu.edu.jo)
  • 5 The university of Jordan–Aqaba Department of computer information systems, Jordan - (a.alsarairah@ju.edu.jo)
  • 6 Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan - (dralhosban@inu.edu.jo)

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

    Received: March 25, 2024 Revised: June 26, 2024 Accepted: November 10, 2024
    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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    Cite This Article As :
    Edduweh, Hussein. , Salem, Ahmed. , Razouk, Lama. , A., Sara. , Atallah, Ahmed. , 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. , no. , 2025, pp. 450-468. DOI: https://doi.org/10.54216/IJNS.250338
    Edduweh, H. Salem, A. Razouk, L. A., S. Atallah, 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, (), 450-468. DOI: https://doi.org/10.54216/IJNS.250338
    Edduweh, Hussein. Salem, Ahmed. Razouk, Lama. A., Sara. Atallah, Ahmed. 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 , no. (2025): 450-468. DOI: https://doi.org/10.54216/IJNS.250338
    Edduweh, H. , Salem, A. , Razouk, L. , A., S. , Atallah, 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 , () , 450-468 . DOI: https://doi.org/10.54216/IJNS.250338
    Edduweh H. , Salem A. , Razouk L. , A. S. , Atallah 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. (): 450-468. DOI: https://doi.org/10.54216/IJNS.250338
    Edduweh, H. Salem, A. Razouk, L. A., S. Atallah, 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, vol. , no. , pp. 450-468, 2025. DOI: https://doi.org/10.54216/IJNS.250338

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