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

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 particu...

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Autores principales:	F. Martínez, I. Martínez, Mohammed K.A. Kaabar, S. Paredes
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Conformable derivative Conformable integral Conformable exponential matrix Conformable system of differential equations Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/ae9e77fb66ae46ee8fbc562b039ce671
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spelling	oai:doaj.org-article:ae9e77fb66ae46ee8fbc562b039ce6712021-11-22T04:21:42ZSolving systems of conformable linear differential equations via the conformable exponential matrix2090-447910.1016/j.asej.2021.02.035https://doaj.org/article/ae9e77fb66ae46ee8fbc562b039ce6712021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S209044792100174Xhttps://doaj.org/toc/2090-4479In 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.F. MartínezI. MartínezMohammed K.A. KaabarS. ParedesElsevierarticleConformable derivativeConformable integralConformable exponential matrixConformable system of differential equationsEngineering (General). Civil engineering (General)TA1-2040ENAin Shams Engineering Journal, Vol 12, Iss 4, Pp 4075-4080 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Conformable derivative Conformable integral Conformable exponential matrix Conformable system of differential equations Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Conformable derivative Conformable integral Conformable exponential matrix Conformable system of differential equations Engineering (General). Civil engineering (General) TA1-2040 F. Martínez I. Martínez Mohammed K.A. Kaabar S. Paredes Solving systems of conformable linear differential equations via the conformable exponential matrix
description	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.
format	article
author	F. Martínez I. Martínez Mohammed K.A. Kaabar S. Paredes
author_facet	F. Martínez I. Martínez Mohammed K.A. Kaabar S. Paredes
author_sort	F. Martínez
title	Solving systems of conformable linear differential equations via the conformable exponential matrix
title_short	Solving systems of conformable linear differential equations via the conformable exponential matrix
title_full	Solving systems of conformable linear differential equations via the conformable exponential matrix
title_fullStr	Solving systems of conformable linear differential equations via the conformable exponential matrix
title_full_unstemmed	Solving systems of conformable linear differential equations via the conformable exponential matrix
title_sort	solving systems of conformable linear differential equations via the conformable exponential matrix
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/ae9e77fb66ae46ee8fbc562b039ce671
work_keys_str_mv	AT fmartinez solvingsystemsofconformablelineardifferentialequationsviatheconformableexponentialmatrix AT imartinez solvingsystemsofconformablelineardifferentialequationsviatheconformableexponentialmatrix AT mohammedkakaabar solvingsystemsofconformablelineardifferentialequationsviatheconformableexponentialmatrix AT sparedes solvingsystemsofconformablelineardifferentialequationsviatheconformableexponentialmatrix
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Solving systems of conformable linear differential equations via the conformable exponential matrix

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