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Title: Existence and uniqueness of solution for a fractional Riemann-Liouville initial value problem on time scales
Author: Benkhettou, Nadia
Hammoudi, Ahmed
Torres, Delfim F.M.
Keywords: Dynamic equations
Fractional derivatives
Initial value problems
Time scales
Issue Date: Jan-2016
Publisher: Elsevier
Abstract: 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.
Peer review: yes
DOI: 10.1016/j.jksus.2015.08.001
ISSN: 1018-3647
Appears in Collections:CIDMA - Artigos

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