On intuitionistic fuzzy laplace transforms for solving intuitionistic fuzzy partial Volterra integro-differential equations

Abstract

In this paper, our purpose is to solve the intuitionistic fuzzy convolution Volterra partial integro-differential equation using the intuitionistic fuzzy Laplace transform (FLTM) method under strongly Hukuhara differentiability, the intuitionistic fuzzy convolution operator is proposed and the associated theorem is given which is helpful for solving IFPVIDEs. Finally, the effectiveness and applicability of the presented method is studied with the help of a numerical example.