Cao Labora, DanielRodríguez López, RosanaNieto Roig, Juan José2018-06-282018-06-302018-01-01Labora, D., Nieto, J., & Lopez, R. (2018). Is It Possible to Construct a Fractional Derivative Such That the Index Law Holds?. Progress In Fractional Differentiation And Applications, 4(1), 1-3. doi: 10.18576/pfda/040101http://hdl.handle.net/10347/16884The aim of this note is to make a brief consideration about the Index Law in fractional differentiation. We are not interested in any particular definition of fractional derivative, and that is why we will not introduce any. We make an exception in the section of examples, but in any case the full document can be understood without it. We show, roughly speaking, that it does not exist any linear operator which is an n-th root of the usual derivative in a very general frameworkeng© 2018 NSP Natural Sciences Publishing Cor. All rights reservedFractional calculusImpossibility resultIndex lawMaterias::Investigación::12 Matemáticas::1202 Análisis y análisis funcionaljournal article10.18576/pfda/0401012356-9344open access