Robust uniform stability criteria for fractional‐order gene regulatory networks with leakage delays. (25th March 2022)

• Record Type: Journal Article
• Authors: Arjunan, Mani Mallika; Anbalagan, Pratap; Al‐Mdallal, Qasem
• Other Names: Singh Jagdev guestEditor.; Kumar Devendra guestEditor.; Baleanu Dumitru guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 46:Number 7(2023)
• Page Start: 8372
• Page End: 8389
• Publication Date: 2022-03-25
• Subjects: fractional‐order -- gene regulatory networks -- uniform stability -- existence and uniqueness; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.8255
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : In this paper, we aim to establish the uniform stability criteria for fractional‐order time‐delayed gene regulatory networks with leakage delays (FOTDGRNL). First, we establish the existence and uniqueness of the considered systems by using the Banach fixed point theorem. Second, the delay‐dependent uniform stability and robust uniform stability of FOFGRNLT are investigated with the help of certain analysis techniques depending on equivalent norm techniques. Finally, the paper comes up with two numerical examples to justify the applicability of our theoretical results.