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

By Nadia Benkhettou, Ahmed Hammoudi, Delfim F. M. Torres. 2015

59 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/64e180d5196a8b9db1a1a852a1af5822ef4ededf

Citations in the corpus

• Fractional Sobolev’s Spaces on Time Scales via Conformable Fractional Calculus and Their Application to a Fractional Differential Equation on Time Scales (2016, unknown): “The existence andmultiplicity of solutions for fractional dynamic equations on time scales has received considerably less attention (see [11, 12]).”