Stability for fractional order delay singular systems

Abdullah Yigit; Seenith Sivasundaram; Cemil Cemil Tunc

Abdullah Yigit Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, Campus Van-Turkey
Seenith Sivasundaram College of Science, Engineering and Mathematics. Daytona Beach. FL 32114. USA
Cemil Cemil Tunc Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, 65080, Campus Van-Turkey

Abstract

In this paper, a non-linear fractional order integro-singular system (FrOISS) is considered. Explicit criteria for asymptotic stability of that FrOISS are given via two new theorems. The studies of the paper are based on applications of two Lyapunov- Krasovski\v{?} functionals (LKFs). In particular case, two examples and their simulations are included as applications of the results. By this work, some existing results are improved and generalized.