Is It Possible to Construct a Fractional Derivative Such That the Index Law Holds?
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Título: | Is It Possible to Construct a Fractional Derivative Such That the Index Law Holds? |
Autor/a: | Cao Labora, Daniel Rodríguez López, Rosana Nieto Roig, Juan José |
Centro/Departamento: | Universidade de Santiago de Compostela. Departamento de Análise Matemática |
Palabras chave: | Fractional calculus | Impossibility result | Index law | |
Data: | 2018-01-01 |
Editor: | Natural Sciences Publishing Corp. |
Cita bibliográfica: | 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 |
Resumo: | 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 |
Versión do editor: | http://dx.doi.org/10.18576/pfda/040101 |
URI: | http://hdl.handle.net/10347/16884 |
DOI: | 10.18576/pfda/040101 |
E-ISSN: | 2356-9344 |
Dereitos: | © 2018 NSP Natural Sciences Publishing Cor. All rights reserved |
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