Volume 21 , Issue 1 , PP: 08-13, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
Sahar M. Jabbar 1 * , Ameera N. Alkiffai 2 , Azal Mera 3
Doi: https://doi.org/10.54216/IJNS.210101
In this paper, a new fuzzy integral transform is introduced and called “fuzzy Mohand transform” which is based on a mathematical formula of the classical Mohand transform. The fuzzy technique that is well-established from fuzzy Laplace transform, agrees with the neutrosophic logic. In fact, in mathematical field, neutrosophic logic, which is based on the idea of indeterminacy, is introduced as a generalization of fuzzy logic. In Neutrosophic logic, there are three values, grade of membership of Truth values (T), Indeterminate values (I) and False values (F). To demonstrate this mixed technique, a realistic example about heating system is discussed as an illustrative example for solving an ordinary differential equation of first order using fuzzy Mohand transform with neutrosophic numbers as an initial condition.
Fuzzy number , Neutrosophic number , Neutrosophic triangular number , strongly generalized differentiability , Mohand transform.
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