# On The Uniform Stability Of Caputo Fractional Differential Equations With Delay Using Vector Lyapunov Functions

## DOI:

https://doi.org/10.60787/jnamp.v68no1.415## Keywords:

Uniform Stability, Caputo Derivative, Vector Lyapunov Function, Fractional Delay Differential Equation## Abstract

In this study, we explore the uniform stability properties of Caputo fractional delay differential equations using vector Lyapunov functions. By applying the Caputo fractional Dini derivative of Lyapunov-like functions, along with a new comparison theorem and differential inequalities, we offer novel insights into the uniform stability of these complex systems. An illustrative example is provided to demonstrate the method’s applicability. Our results improve, extends and generalizes many existing results in the literature.

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*The Journals of the Nigerian Association of Mathematical Physics*,

*68*, 37-50. https://doi.org/10.60787/jnamp.v68no1.415