Explicit solutions of initial value problems for systems of linear Riemann–Liouville fractional differential equations with constant delay

Advances in Difference Equations

Ravi Agarwal¹  D. O’Regan²  S. Hristova³ 

[1] Department of Mathematics, Texas A&M University—Kingsville;School of Mathematics, Statistics and Applied Mathematics, National University of Ireland;University of Plovdiv “Paisii Hilendarski”;

关键词: Riemann–Liouville fractional derivative;    Constant delay;    Initial value problem;    Systems of linear fractional equations;    Explicit solution;    q-matrix exponential function;   

DOI  :  10.1186/s13662-020-02643-8

来源: DOAJ

【 摘 要 】

Abstract A system of linear Riemann–Liouville fractional differential equations with constant delay is studied. The initial condition is set up similar to the case of the ordinary derivative. Explicit formulas for the solutions are obtained for various initial functions.

【 授权许可】

Unknown