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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Detalhes bibliográficos
Autores: Martínez González, Francisco Martín, Martínez Vidal, Inmaculada, Paredes Hernández, Silvestre
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Recursos:Universidad Politécnica de Cartagena(UPCT)
Repositorio:Repositorio Digital UPCT
OAI Identifier:oai:repositorio.upct.es:10317/13287
Acesso em linha:http://hdl.handle.net/10317/13287
https://onlinelibrary.wiley.com/doi/10.1002/cmm4.1048
Access Level:acceso abierto
Palavra-chave:conformable Euler's theorem
conformable fractional derivative
multivariate conformable fractional calculus
Matemática Aplicada
12 Matemáticas
Descrição
Resumo: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.