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 exten...

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Bibliographic Details
Authors: Martínez González, Francisco Martín; Martínez Vidal, Inmaculada; Paredes Hernández, Silvestre
Format: Article
Status:Published version
Publication date:2019
Country:España
Institution:Universidad Politécnica de Cartagena(UPCT)
Repository:Repositorio Digital UPCT
OAI Identifier:oai:repositorio.upct.es:10317/13287
Online Access:http://hdl.handle.net/10317/13287
https://onlinelibrary.wiley.com/doi/10.1002/cmm4.1048
Access Level:Open access
Keyword:conformable Euler's theorem
conformable fractional derivative
multivariate conformable fractional calculus
Matemática Aplicada
12 Matemáticas
Description
Summary: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.