TY  - EJOU
AU  - Elshenhab, Ahmed M. 
AU  - Wang, Xingtao 
AU  - Mofarreh, Fatemah 
AU  - Bazighifan, Omar 

TI  - Exact Solutions and Finite Time Stability of Linear Conformable Fractional Systems with Pure Delay
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2023
VL  - 134
IS  - 2
SN  - 1526-1506

AB  - We study nonhomogeneous systems of linear conformable fractional differential equations with pure delay. By
using new conformable delayed matrix functions and the method of variation, we obtain a representation of their
solutions. As an application, we derive a finite time stability result using the representation of solutions and a norm
estimation of the conformable delayed matrix functions. The obtained results are new, and they extend and improve
some existing ones. Finally, an example is presented to illustrate the validity of our theoretical results.
KW  - Representation of solutions; conformable fractional derivative; conformable delayed matrix function; conformable fractional delay differential equations; finite time stability

DO  - 10.32604/cmes.2022.021512