Finite-Time Stability to Fractional Delay Cauchy Problem of Hilfer Type

The purpose of this work is to look at the solution's representation for the non-homogeneous fractional time-delay Cauchy problem of Hilfer type in terms of the cosine and sine fractional delayed matrices of two parameters. The solutions are determined using the constant variation approach. Following that, finite-time stability under moderate circumstances is examined. At last, an example is offered to show how the theoretical results may be used.