Is It Possible to Construct a Fractional Derivative Such That the Index Law Holds?

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 d...

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Detalles Bibliográficos
Autores: Cao Labora, Daniel, Rodríguez López, Rosana, Nieto Roig, Juan José
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/16884
Acceso en línea:http://hdl.handle.net/10347/16884
Access Level:acceso abierto
Palabra clave:Materias::Investigación::12 Matemáticas::1202 Análisis y análisis funcional
Descripción
Sumario: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