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

Journal of King Saud University: Science

Delfim F.M. Torres¹  Ahmed Hammoudi²  Nadia Benkhettou³ 

[1] Center for Research and Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, 3810-193 Aveiro, Portugal;Laboratoire de Mathématiques, Université de Ain Témouchentl, B.P. 89, 46000 Ain Témouchent, Algeria;Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, B.P. 89, 22000 Sidi Bel-Abbès, Algeria;

关键词: Fractional derivatives;    Dynamic equations;    Initial value problems;    Time scales;   

DOI  :  10.1016/j.jksus.2015.08.001

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown