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
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)
