4.7 Article

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

Journal

AIN SHAMS ENGINEERING JOURNAL
Volume 12, Issue 4, Pages 4075-4080

Publisher

ELSEVIER
DOI: 10.1016/j.asej.2021.02.035

Keywords

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

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This research paper discusses systems of conformable linear differential equations, utilizing the conformable fundamental exponential matrix and variation of parameters method. Several illustrative examples are provided to validate the obtained results.
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. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Ain Shams University.

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