Volume 26 , Issue 1 , PP: 82-93, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
B. Divya 1 , K. Ganesan 2 *
Doi: https://doi.org/10.54216/IJNS.260107
Fuzzy differential equations (FDEs) are used to represent dynamical systems under uncertain environments. Finding solutions for fuzzy differential equations (FDEs) is highly challenging. This work employs the neutrosophic version of the Sumudu transform method to determine the solution to fuzzy differential equations (FDEs) that incorporate Neutrosophic Numbers (NNs). By utilising a novel fuzzy arithmetic operations on the parametric representations of NNs, significant theorems are established to demonstrate the characteristics of Neutrosophic Sumudu Transform (NST). The proposed NST approach is efficient in approximating the solutions of FDEs without converting them into their crisp equivalent forms. An illustrative numerical example is provided to demonstrate the efficacy of the proposed methodology.
Neutrosophic number , Parametric form , Arithmetic operations , Fuzzy Sumudu transform , Neutrosophic differential equations
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