Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales

We introduce the concept of fractional derivative of Riemann-Liouville on time scales. Fundamental properties of the new operator are proved, as well as an existence and uniqueness result for a fractional initial value problem on an arbitrary time scale. © 2015 The Authors.

Detalhes bibliográficos
Autor principal: Benkhettou, Nadia (author)
Outros Autores: Hammoudi, Ahmed (author), Torres, Delfim F.M. (author)
Formato: article
Idioma:eng
Publicado em: 2017
Assuntos:
Texto completo:http://hdl.handle.net/10773/16633
País:Portugal
Oai:oai:ria.ua.pt:10773/16633