Conformable Euler's theorem on homogeneous functions

Recently, the conformable derivative and its properties have been introduced. In this paper, we propose and prove some new results on the conformable multivariable fractional calculus. We introduce a conformable version of classical Euler's theorem on homogeneous functions. Furthermore, we are...

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Detalles Bibliográficos
Autores: Martínez González, Francisco Martín, Martínez Vidal, Inmaculada, Paredes Hernández, Silvestre
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Institución:Universidad Politécnica de Cartagena(UPCT)
Repositorio:Repositorio Digital UPCT
OAI Identifier:oai:repositorio.upct.es:10317/13287
Acceso en línea:http://hdl.handle.net/10317/13287
https://onlinelibrary.wiley.com/doi/10.1002/cmm4.1048
Access Level:acceso abierto
Palabra clave:conformable Euler's theorem
conformable fractional derivative
multivariate conformable fractional calculus
Matemática Aplicada
12 Matemáticas
Descripción
Sumario:Recently, the conformable derivative and its properties have been introduced. In this paper, we propose and prove some new results on the conformable multivariable fractional calculus. We introduce a conformable version of classical Euler's theorem on homogeneous functions. Furthermore, we are extending the aforementioned result for higher-order partial derivatives.