An efficient analytical scheme for fuzzy conformable fractional differential equations arising in physical sciences

TL;DR

This paper introduces an efficient analytical method using fuzzy conformable fractional derivatives and Laplace transforms to solve fractional differential equations in physical sciences, demonstrated through practical examples.

Contribution

It develops a new analytical scheme based on fuzzy conformable derivatives and Laplace transforms for solving fractional differential equations in physical sciences.

Findings

Effective solutions for fuzzy conformable fractional growth equations

Successful modeling of physical processes like cooling and growth

Demonstrated efficiency through practical examples

Abstract

This article describes the fuzzy conformable fractional derivative which is based on generalized Hukuhara differentiability. On these topics, we prove a number of properties concerning this type of differentiability. In addition, fuzzy conformable Laplace transforms are used to obtain analytical solutions to the fractional differential equation. Through the use of several practical examples, such as the fuzzy conformable fractional growth equation, the fuzzy conformable fractional one-compartment model, and the fuzzy conformable fractional Newton's law of cooling, we demonstrate the effectiveness and efficiency of the approaches.