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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Detalles Bibliográficos
Autores: Martínez González, Francisco Martín, Martínez Vidal, Inmaculada, Kaabar, Mohammed K. A., Paredes Hernández, Silvestre
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:España
Institución:Universidad Politécnica de Cartagena(UPCT)
Repositorio:Repositorio Digital UPCT
OAI Identifier:oai:repositorio.upct.es:10317/13281
Acceso en línea:http://hdl.handle.net/10317/13281
https://www.sciencedirect.com/science/article/pii/S209044792100174X
Access Level:acceso abierto
Palabra clave:Conformable derivative
Conformable integral
Conformable exponential matrix
Conformable system of differential equations
Matemática Aplicada
12 Matemáticas
Descripción
Sumario: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.