Generalization of fractional Laplace transform for higher order and its application

Abstract

In this paper, we first introduce the conformable fractional Laplace transform. Then, we give its generalization for higher-order. Finally, as an application, we solve a non-homogeneous conformable fractional differential equation with variable coefficients and a system of fractional differential equations.

Keywords

• Conformable fractional derivative
• Conformable fractional Laplace transform
• System of fractional differential equations