Solving systems of conformable linear differential equations via the conformable exponential matrix

Abstract

In this research paper, we discuss systems of conformable linear differential equations. The conformable fundamental exponential matrix has been used to express the solution of the homogeneous and nonhomogeneous systems. The method of variation of parameters has been investigated to find the particular solution of the conformable system of nonhomogeneous linear differential equations. Several illustrative examples have been provided at the end of our study to validate all obtained results.

Keywords

• Conformable derivative
• Conformable integral
• Conformable exponential matrix
• Conformable system of differential equations