On mikusinski's operators of fractional integration

In the field F of convolution quotients,  b∝ is the operator of integration of fractional order ∝ and b∝ f   Is the Riemann - Liouville integral of order   ∝ of f. In this paper we give a generalization of this operator, which is denoted as b∝,va . Some particular cases are mentioned and the inverse...

Full description

Autores:
Battig, A.
Kalla, S. L.
Tipo de recurso:
Article of journal
Fecha de publicación:
1975
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/42433
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/42433
http://bdigital.unal.edu.co/32530/
Palabra clave:
Convolution quotients
operator of integration
fractional order
inverse operator
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:In the field F of convolution quotients,  b∝ is the operator of integration of fractional order ∝ and b∝ f   Is the Riemann - Liouville integral of order   ∝ of f. In this paper we give a generalization of this operator, which is denoted as b∝,va . Some particular cases are mentioned and the inverse operator is obtained.