Existence and Uniqueness of Solution for a Fractional Riemann-Liouville Initial Value Problem on Time Scales

2015/08/04 by Nadia Benkhettou, Ahmed Hammoudi, Delfim F. M. Torres · 2 citations
Mathematics · #math.CA #msc:26A33 #msc:34N05

paper · pdf · doi:10.1016/j.jksus.2015.08.001

published as J. King Saud Univ. Sci. 28 (2016), no. 1, 87--92 · This is a preprint of a paper whose final and definite form is in Journal of King Saud University (Science), http://dx.doi.org/10.1016/j.jksus.2015.08.001 Paper submitted 18/May/2015; revised 31/July/2015; accepted for publication 03/Aug/2015

arxiv created 2015/08/04 · arxiv updated 2015/12/24

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.

Cited by

• Generalized Fractional Operators on Time Scales with Application to Dynamic Equations
• Time-Fractional Optimal Control of Initial Value Problems on Time Scales

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