Stability of Riemann–Hadamard Fractional Differential Nonlinear System with Delay Riemann −Katugampola

Department of Mathematics, College of Education, Mustansiriyah University

Abstract

   The purpose of this paper is to investigate the finite-time stability of a proposal problem containing a Riemann-Hadamard fractional differential nonlinear control system with delay Riemann-Katugampola fractional-order systems. The inequalities for satisfying the stability depend on Gronwald's general formulation, which constrains the types of fractionals. The necessary and sufficient conditions are presented in different results to support the stability with delay time of solution with nonlinear functions as well as the numerical examples to illustrate all the interesting results.