Title of article
The Application of Fuzzy Laplace Transform by Using Generalized Hukuhara Derivative
Author/Authors
Moatamed, P Kerman Branch - Islamic Azad University , Barkhordari Ahmadi, M Bandar Abbas Branch - Islamic Azad University
Pages
26
From page
1
To page
26
Abstract
In this research an analytic method is used to solve fuzzy heat equation with fuzzy initial values, which is based on generalized Hukuhara differentiability. At first, we define fuzzy laplace transform in t considering x as a parameter on fuzzy functions u(x, t) and their derivatives by using generalized Hukuhara differentiability. The fuzzy laplace transform is used in an analytic method for solving the fuzzy partial differential equation with generalized Hukuhara differantiation. Finally, the method is explained by presenting examples.
Keywords
Fuzzy Laplace transform , Fuzzy partial differential equation , Generalized differentiability , Fuzzy-valued function , Fuzzy-number
Journal title
Journal of Mathematical Extension(IJME)
Serial Year
2021
Record number
2687797
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