The second-order constant-coefficient linear homogeneous weak fuzzy complex differential equations (WFC-DEs) and initial value problems (WFC-IVPs)

Authors

  • Lama Razouk * Department of Mathematics, Latakia University (Tishreen), Latakia, Syria
  • Suliman Mahmoud Department of Mathematics, Latakia University (Tishreen), Latakia, Syria
  • Mohamad Ali Department of Mathematics, Latakia University (Tishreen), Latakia, Syria

https://doi.org/10.48313/uda.v2i1.50

Abstract

This work aims to introduce the concept of the second-order Weak Fuzzy Complex-Differential Equations (WFC-DEs) for the first time. A special isomorphic transformation function could write a WFC-DE as two related Differential Equations (DEs) of the second order concerning their real variables. We study the second-order constant-coefficient linear homogeneous DE in a Weak Fuzzy Complex (WFC) variable with WFC constant coefficients. Also, we study the simple form of this type of WFC-DE with real constant coefficients. Thus, to find the general solution, we use the characteristic equation of the second-order DE. Also, we get a particular solution for the second-order constant-coefficient linear homogeneous Weak Fuzzy Complex-Initial Value Problem (WFC-IVP). To enhance understanding, we provide illustrative examples for each problem discussed.

Keywords:

Weak fuzzy complex numbers, Quadratic weak fuzzy complex equation, Weak fuzzy complex functions, Weak fuzzy complex differential equation, Initial value problem

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Published

2024-03-17

Issue

Vol. 2 No. 1 (2025): Uncertainty Discourse and Applications

Section

Articles

How to Cite

Razouk, L. ., Mahmoud, S. ., & Ali, M. . (2024). The second-order constant-coefficient linear homogeneous weak fuzzy complex differential equations (WFC-DEs) and initial value problems (WFC-IVPs). Uncertainty Discourse and Applications, 2(1), 1-16. https://doi.org/10.48313/uda.v2i1.50

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