Representation of solutions of nonhomogeneous conformable fractional delay differential equations
Abstract
This paper is about the conformable fractional delay equations. We offer a conformable delay perturbation of matrix exponential function to give the representation of solutions for linear nonhomogeneous conformable fractional delay differential equations. Lastly, the existence and uniqueness of solutions and Ulam-Hyers stability of the equations are proved.
- Publication:
-
Chaos Solitons and Fractals
- Pub Date:
- September 2021
- DOI:
- 10.1016/j.chaos.2021.111190
- Bibcode:
- 2021CSF...15011190M
- Keywords:
-
- Conformable derivative;
- Conformable delay perturbation;
- Representation of solutions;
- Existence;
- Ulam-Hyers stability