Work

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

Year: 2015

Type: article

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.

Source: Journal of King Saud University - Science

DOI: 10.1016/j.jksus.2015.08.001

Authors: Nadia Benkhettou, Ahmed Hammoudi, Delfim F.M. Torres

Institutions: Université Djilali de Sidi Bel Abbès, Université de ain Témouchent, University of Aveiro

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,600

Funders: Universidade de Aveiro, Center for Research and Development in Mathematics and Applications, Fundação para a Ciência e a Tecnologia