A New Generalized Derivative and Related Properties

Paulo M. Guzmán; Juan E.Nápoles Valdés; Miguel Vivas-Cortez

doi:10.18576/amis/180501

A New Generalized Derivative and Related Properties

Paulo M. Guzmán, Juan E.Nápoles Valdés, Miguel Vivas-Cortez^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this work we present a new definition of local derivative, with good properties, which is a natural generalization of the classical derivative. The main novelty is that this derivative allows us to expand the class of continuous functions and differentiable functions, one of the most requested issues in the definition of new differential operators. The above is an innovation with respect to other well-known local operators.

Original language	English
Pages (from-to)	923-932
Number of pages	10
Journal	Applied Mathematics and Information Sciences
Volume	18
Issue number	5
DOIs	https://doi.org/10.18576/amis/180501
State	Published - 2024

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Publisher Copyright:
© 2024 NSP Natural Sciences Publishing Cor.

Keywords

2020 Mathematics Subject Classification
differential operators
Fractional derivatives and integrals
Primary 26A33; Secondary 47E05

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10.18576/amis/180501

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AU - Valdés, Juan E.Nápoles

AU - Vivas-Cortez, Miguel

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AB - In this work we present a new definition of local derivative, with good properties, which is a natural generalization of the classical derivative. The main novelty is that this derivative allows us to expand the class of continuous functions and differentiable functions, one of the most requested issues in the definition of new differential operators. The above is an innovation with respect to other well-known local operators.

KW - 2020 Mathematics Subject Classification

KW - differential operators

KW - Fractional derivatives and integrals

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A New Generalized Derivative and Related Properties

Abstract

Bibliographical note

Keywords

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