Application of fuzzy Laplace transforms for solving fuzzy partial Volterra integro-differential equations

TL;DR

This paper introduces a fuzzy Laplace transform method to analytically solve fuzzy partial Volterra integro-differential equations with convolution kernels, demonstrating its simplicity and reliability through illustrative examples.

Contribution

The paper presents a novel application of fuzzy Laplace transform to solve fuzzy partial Volterra integro-differential equations analytically under Hukuhara differentiability.

Findings

FLTM effectively solves fuzzy integro-differential equations

The method is simple and reliable

Illustrative examples confirm the approach's utility

Abstract

Fuzzy partial integro-differential equations have a major role in the fields of science and engineering. In this paper, we propose the solution of fuzzy partial Volterra integro-differential equation with convolution type kernel using fuzzy Laplace transform method (FLTM) under Hukuhara differentiability. It is shown that FLTM is a simple and reliable approach for solving such equations analytically. Finally, the method is illustrated with few examples to show the ability of the proposed method.