RT Journal Article T1 Is It Possible to Construct a Fractional Derivative Such That the Index Law Holds? A1 Cao Labora, Daniel A1 Rodríguez López, Rosana A1 Nieto Roig, Juan José K1 Fractional calculus K1 Impossibility result K1 Index law AB The 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 framework PB Natural Sciences Publishing Corp. YR 2018 FD 2018-01-01 LK http://hdl.handle.net/10347/16884 UL http://hdl.handle.net/10347/16884 LA eng NO Labora, 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/040101 DS Minerva RD 25 abr 2026