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

Abstract

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.

Keywords

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