Fuzzy partial T-transforms applied to a system of PDE

Abstract

Fuzzy partial integro-differential equations have widespread applications in the natural and applied sciences and engineering. The fuzzy T-transform transform is proposed as a new method for solving fuzzy partial differential equations in this research. Using very broad H-differentiability ideas, a formula for the first and second order fuzzy partial derivative has been derived. After an introduction to fuzzy partial T-transforms, fuzzy partial differential equations are developed. Finally, a working example has been presented to showcase the efficacy of the suggested approach.