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

Ain Shams Engineering Journal

I. Martínez¹  F. Martínez²  Mohammed K.A. Kaabar²  S. Paredes³ 

[1] Corresponding author at: Technological University of Cartagena, Department of Applied Mathematics and Statistics, Spain.;Department of Applied Mathematics and Statistics, Technological University of Cartagena, Spain;Department of Mathematics and Statistics, Washington State University. USA;

关键词: Conformable derivative;    Conformable integral;    Conformable exponential matrix;    Conformable system of differential equations;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown