The mixed conformable partial derivatives
type: Item
instance of: scholarly article
title: The mixed conformable partial derivatives
zbMATH Open document ID: 1488.26037
author: Changjian Zhao
author: Wing-Sum Cheung
published in: Periodica Mathematica Hungarica
publication date: 2021-08-03T00:00:00Z
review text: The paper introduces a modification of the so-called ``conformable derivative'' and applies it to functions of two variables. Like the conformable derivative itself, it is just a classical first derivative multiplied by a very simple factor that is independent of the function (this is evident, e.g. from Theorem 2.4), so it is really nothing more than a trivial modification of a well-known operator. From this observation, it follows that all results about the properties of this operator are trivial modifications of the corresponding properties of first derivatives. The generalization to bivariate functions is also completely elementary.
reviewed by: Kai Diethelm
Mathematics Subject Classification ID: 26B05
Mathematics Subject Classification ID: 26A24
zbMATH DE Number: 7377561
zbMATH Keywords: partial derivative
zbMATH Keywords: \(\alpha\)-conformable derivative
zbMATH Keywords: Cauchy-Schwarz inequality
MaRDI profile type: Publication
full work available at URL: s10998-020-00352-z
OpenAlex ID: W3035595975
cites work: New approach to a generalized fractional integral
cites work: A New Approach to Generalized Fractional Derivatives
cites work: Q5699297
cites work: Q3141895
cites work: On conformable fractional calculus
cites work: A new definition of fractional derivative
cites work: New properties of conformable derivative
cites work: On the definitions of nabla fractional operators
cites work: New inequalities of Opial type for conformable fractional integrals
cites work: Q4771278
cites work: Wirtinger type inequalities for conformable fractional integrals
cites work: Opial-type inequalities for conformable fractional integrals
cites work: New bounds for the Ostrowski-type inequalities via conformable fractional calculus
cites work: Inequalities for Katugampola conformable partial derivatives
cites work: A generalized Lyapunov-type inequality in the frame of conformable derivatives
cites work: Fundamental results of conformable Sturm-Liouville eigenvalue problems
DOI: 10.1007/S10998-020-00352-Z
description: scientific article; zbMATH DE number 7377561