TY - JOUR
T1 - A New Generalized Derivative and Related Properties
AU - Guzmán, Paulo M.
AU - Valdés, Juan E.Nápoles
AU - Vivas-Cortez, Miguel
N1 - Publisher Copyright:
© 2024 NSP Natural Sciences Publishing Cor.
PY - 2024
Y1 - 2024
N2 - 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.
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
KW - Primary 26A33; Secondary 47E05
UR - http://www.scopus.com/inward/record.url?scp=85197407952&partnerID=8YFLogxK
U2 - 10.18576/amis/180501
DO - 10.18576/amis/180501
M3 - Article
AN - SCOPUS:85197407952
SN - 1935-0090
VL - 18
SP - 923
EP - 932
JO - Applied Mathematics and Information Sciences
JF - Applied Mathematics and Information Sciences
IS - 5
ER -