Stability of Caputa–Katugampola fractional differential nonlinear control system with delay Riemann−Katugampola

Sleibi, Ahmed Sami; Hasan, Sameer Qasim

doi:10.47974/JIM-1911

Open Access Research Article

Stability of Caputa–Katugampola fractional differential nonlinear control system with delay Riemann−Katugampola

^*Ahmed Sami SleibiCorresponding authortemath33@gmail.comDepartment of MathematicsCollege of EducationMustensiriyah UniversityBaghdad, IraqView full profile → , Sameer Qasim Hasandr.sameerqasim@uomustansiriyah.edu.iqDepartment of MathematicsCollege of EducationMustensiriyah UniversityBaghdad, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 913–921Vol. 27Issue 4June 2024DOI: 10.47974/JIM-1911XML

Received:: 05 Feb 2024
Published Online:: 30 Jun 2024
Article type:: Research Article
Language:: EN
Article no.:: JIM-1911
Pages:: 913–921

Abstract

This paper presents the existence, uniqueness and stability of nonlinear fractional order systems of the Caputa–Katugampola Fractional Differential with delay Riemann −Katugampola in finite time, which takes advantage of the “generalized Grünewald inequality”. Therefore, we propose necessary and sufficient conditions to guarantee the finite time stability of a system of order 0 < α <1 and we provide a basic criterion for the stability of systems. We also provide examples and illustrations that show the relevance of the proposed theory. Moreover, our results indicate that our conclusions are more accurate than the existing literature on stability requirements.

Keywords

Caputo–Katugampola Nonlinear control system Stability Riemann−Katugampola

Subject Classifications

34A08

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