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

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

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.

Bibliographic Details
Main Authors: S. Hristova, Ravi Agarwal, D. O’Regan
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Advances in Difference Equations
Subjects:
Riemann–Liouville fractional derivative
Constant delay
Initial value problem
Systems of linear fractional equations
Explicit solution
q-matrix exponential function
Online Access:http://link.springer.com/article/10.1186/s13662-020-02643-8

Internet

http://link.springer.com/article/10.1186/s13662-020-02643-8

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